TY  - JOUR
AU  - Ge, Juhong
TI  - Analysis of Hopf–Hopf Interactions Induced by Multiple Delays for Inertial Hopfield Neural Models
JF  - FRACTAL AND FRACTIONAL
J2  - FRACTAL FRACT
VL  - 7
PY  - 2023
IS  - 2
SP  - 116
PG  - 13
SN  - 2504-3110
DO  - 10.3390/fractalfract7020116
UR  - https://m2.mtmt.hu/api/publication/33734932
ID  - 33734932
AB  - The investigation of dynamic behaviors of inertial neural networks depicted by second-order delayed differential equations has received considerable attention. Substantial research has been performed on the transformed first-order differential equations using traditional variable substitution. However, there are few studies on bifurcation dynamics using direct analysis. In this paper, a multi-delay Hopfield neural system with inertial couplings is considered. The perturbation scheme and non-reduced order technique are firstly combined into studying multi-delay induced Hopf–Hopf singularity. This combination avoids tedious computation and overcomes the disadvantages of the traditional variable-substitution reduced-order method. In the neighbor of Hopf–Hopf interaction points, interesting dynamics are found on the plane of self-connected delay and coupled delay. Multiple delays can induce the switching of stable periodic oscillation and periodic coexistence. The explicit expressions of periodic solutions are obtained. The validity of theoretical results is shown through consistency with numerical simulations.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Sun, Pan
AU  - Zhao, Xielin
AU  - Yu, Xiaofei
AU  - Huang, Qian
AU  - Feng, Zhipeng
AU  - Zhou, Jinxiong
TI  - Incremental harmonic balance method for multi-harmonic solution of high-dimensional delay differential equations: Application to crossflow-induced nonlinear vibration of steam generator tubes
JF  - APPLIED MATHEMATICAL MODELLING
J2  - APPL MATH MODEL
VL  - 118
PY  - 2023
SP  - 818
EP  - 831
PG  - 14
SN  - 0307-904X
DO  - 10.1016/j.apm.2023.02.018
UR  - https://m2.mtmt.hu/api/publication/33734971
ID  - 33734971
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Yan, Zipu
AU  - Dai, Honghua
AU  - Wang, Qisi
AU  - Atluri, Satya N.
TI  - Harmonic Balance Methods: A Review and Recent Developments
JF  - CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
J2  - CMES-COMP MODEL ENG
PY  - 2023
PG  - 41
SN  - 1526-1492
DO  - 10.32604/cmes.2023.028198
UR  - https://m2.mtmt.hu/api/publication/33896342
ID  - 33896342
AB  - The harmonic balance (HB) method is one of the most commonly used methods for solving periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is confined to low-order approximations due to complex symbolic operations. Many variants have been developed to improve the HB method, among which the time domain HB-like methods are regarded as crucial improvements because of their fast computation and simple derivation. So far, there are two problems remaining to be addressed. i) A dozen of different versions of HB-like methods, in frequency domain or time domain or in hybrid, have been developed; unfortunately, misclassification pervades among them due to the unclear borderlines of different methods. ii) The time domain HB-like methods suffer from non-physical solutions, which have been shown to be caused by aliasing (mixture of the high-order into the low-order harmonics). Although a series of dealiasing techniques have been developed over the past two decades, the mechanism of aliasing and the final solution to dealiasing are still not well known to the academic community. This paper aims to provide a comprehensive review of the development of HB-like methods and enunciate their principal differences. In particular, the time domain methods are emphasized with the famous aliasing phenomenon clearly addressed.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pei, Lijun
AU  - Chong, Antonio S. E.
AU  - Pavlovskaia, Ekaterina
AU  - Wiercigroch, Marian
TI  - Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods
JF  - COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
J2  - COMMUN NONLIN SCI NUMER SIMULAT
VL  - 108
PY  - 2022
PG  - 18
SN  - 1007-5704
DO  - 10.1016/j.cnsns.2021.106220
UR  - https://m2.mtmt.hu/api/publication/33012605
ID  - 33012605
AB  - In this paper, Harmonic Balance based methods, namely Incremental Harmonic Balance Method and the method of Harmonic Balance with Alternating Frequency and Time traditionally used to compute periodic orbits of smooth nonlinear dynamical systems, are employed to investigate the dynamics of a non-smooth system, specifically a piecewise linear oscillator with a play. The Incremental Harmonic Balance Method was used to compute the period one orbits, including those exhibiting grazing and large impacts. The method of Harmonic Balance with Alternating Frequency and Time was implemented to calculate more complex orbits and multi stability. A good agreement between obtained approximate solutions and numerically calculated responses indicates robustness of the implemented HBMs, which should allow to effectively study the global dynamics of non-smooth systems.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pei, Lijun
AU  - Wu, Fanxin
AU  - Wang, Shuo
TI  - Periodic, Quasi-Periodic and Chaotic Oscillations in Two Heterogeneous AIMD/RED Network Congestion Models with State-Dependent Round-Trip Delays
JF  - INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
J2  - INT J BIFURCAT CHAOS
VL  - 31
PY  - 2021
IS  - 06
SP  - 1
EP  - 21
PG  - 21
SN  - 0218-1274
DO  - 10.1142/S0218127421501248
UR  - https://m2.mtmt.hu/api/publication/32052740
ID  - 32052740
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Smirnova, Vera B.
AU  - Proskurnikov, Anton V
AU  - Zgoda, Iurii
TI  - The sunflower equation: novel stability criteria
JF  - IFAC PAPERSONLINE
J2  - IFACOL
VL  - 54
PY  - 2021
IS  - 17
SP  - 135
EP  - 140
PG  - 6
SN  - 2405-8963
DO  - 10.1016/j.ifacol.2021.11.038
UR  - https://m2.mtmt.hu/api/publication/33012606
ID  - 33012606
AB  - In this paper, we consider a delayed counterpart of the mathematical pendulum model that is termed sunflower equation and originally was proposed to describe a helical motion (circumnutation) of the apex of the sunflower plant. The "culprits" of this motion are, on one hand, the gravity and, on the other hand, the hormonal processes within the plant, namely, the lateral transport of the growth hormone auxin. The first mathematical analysis of the sunflower equation was conducted in the seminal work by Somolinos (1978) who gave, in particular, a sufficient condition for the solutions' boundedness and for the existence of a periodic orbit. Although more than 40 years have passed since the publication of the work by Somolinos, the sunflower equation is still far from being thoroughly studied. It is known that a periodic solution may exist only for a sufficiently large delay, whereas for small delays the equation exhibits the same qualitative behavior as a conventional pendulum, and every solution converges to one of the equilibria. However, necessary and sufficient conditions for the stability of the sunflower equation (ensuring the convergence of all solutions) are still elusive. In this paper, we derive a novel condition for its stability, which is based on absolute stability theory of integro-differential pendulum-like systems developed in our previous work. As will be discussed, our estimate for the maximal delay, under which the stability can be guaranteed, improves the existing estimates and appears to be very tight for some values of the parameters. Copyright (C) 2021 The Authors.
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Berezansky, Leonid
AU  - Domoshnitsky, Alexander
AU  - Koplatadze, Roman
TI  - Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations
ET  - 1
PB  - Chapman and Hall/CRC
CY  - New York, New York
PY  - 2020
SP  - 614
SN  - 9780429321689
DO  - 10.1201/9780429321689
UR  - https://m2.mtmt.hu/api/publication/31349141
ID  - 31349141
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Jin, Gang
AU  - Zhang, Xinyu
AU  - Zhang, Kaifei
AU  - Li, Hua
AU  - Li, Zhanjie
AU  - Han, Jianxin
AU  - Qi, Houjun
TI  - Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays
JF  - MATHEMATICAL PROBLEMS IN ENGINEERING
J2  - MATH PROBL ENG
VL  - 2020
PY  - 2020
SP  - 1
EP  - 9
PG  - 9
SN  - 1024-123X
DO  - 10.1155/2020/1982363
UR  - https://m2.mtmt.hu/api/publication/31392472
ID  - 31392472
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Maan, Normah
AU  - Barde, Aminu
TI  - Analytical technique for neutral delay differential equations with proportional and constant delays
JF  - JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
J2  - J MATH COMPUT SCI
VL  - 20
PY  - 2020
IS  - 4
SP  - 334
EP  - 348
PG  - 15
SN  - 2008-949X
DO  - 10.22436/jmcs.020.04.07
UR  - https://m2.mtmt.hu/api/publication/31294153
ID  - 31294153
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pei, Lijun
AU  - Zhang, Hongyang
AU  - Chen, Yueli
ED  - Mrugalski, Marcin
TI  - Sudden Transition from Equilibrium to Hybrid Chaos and Periodic Oscillations of the State-Dependent Round-Trip Delayed Nonsmooth Compound TCP with GRED Congestion Control System via HB-AFT
JF  - COMPLEXITY
J2  - COMPLEXITY
VL  - 2020
PY  - 2020
SP  - 1
EP  - 15
PG  - 15
SN  - 1076-2787
DO  - 10.1155/2020/5982403
UR  - https://m2.mtmt.hu/api/publication/31682073
ID  - 31682073
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Wang, Shuo
AU  - Pei, Lijun
TI  - Periodic solutions and complicated dynamics in network congestion control systems with state-dependent round-trip delays and non-smooth dropping probability
JF  - CHAOS
J2  - CHAOS
VL  - 30
PY  - 2020
IS  - 5
SN  - 1054-1500
DO  - 10.1063/1.5143033
UR  - https://m2.mtmt.hu/api/publication/31344481
ID  - 31344481
AB  - In this paper, the harmonic balance method with the alternating frequency/time (HB-AFT) domain technique is extended to the dynamical systems with state-dependent delays and non-smooth right-hand side for the first time. Two types of network congestion control models [the modified transmission control protocol-random early detection (TCP-RED) model and the fluid-flow TCP-additive increase multiplicative decease (AIMD)/RED model] with state-dependent round-trip time delays and non-smooth right-hand side are considered in detail. First, their dynamics and bifurcation are analyzed by the numerical analysis method. Then, the analytical approximate expressions of the periodic solutions are obtained by employing the semi-analytical method named as HB-AFT. The results of the numerical simulation and HB-AFT agree with each other very well. It indicates that the HB-AFT technique is simple, valid, effective, and accurate for the non-smooth dynamical systems with state-dependent time delays. Besides, more complicated and rich dynamical phenomena, such as period- 2 solution, period- 3 solution, chaos and the period-doubling bifurcation, and the window of period- 3 solution, which lead to chaos, are explored in the TCP-AIMD/RED model. Moreover, two different kinds of multi-stabilities, such as the coexistence of a stable period- 1 solution, a stable period- 3 solution, and an asymptotically stable equilibrium, and that of a stable period- 1 solution, a stable period- 2 solution, chaos, and an asymptotically stable equilibrium, are also discovered in the TCP-AIMD/RED congestion control model. It discloses that the interaction of the state-dependent delay and non-smooth function can easily induce the richer and more complicated dynamics. It can explain the complicated dynamical phenomena in the Internet network. Thus, the control and parameters tuning based on the above results could be used to avoid the congestion and optimize the performance. It can give the theoretical guidance to the application and research in network congestion control, which is very important in practical application.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Barde, Aminu
AU  - Maan, Normah
TI  - Analytical Algorithm for Systems of Neutral Delay Differential Equations
JF  - APPLIED MATHEMATICS
J2  - APPLIED MATHEMATICS
VL  - 10
PY  - 2019
IS  - 9
SP  - 753
EP  - 768
PG  - 16
SN  - 2152-7385
DO  - 10.4236/am.2019.109054
UR  - https://m2.mtmt.hu/api/publication/30828107
ID  - 30828107
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Barde, Aminu
AU  - Normah, Maan
TI  - Efficient Analytical Approach for Nonlinear System of Delay Differential Equations
JF  - INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
J2  - Int J Math Comp Sci
VL  - 14
PY  - 2019
IS  - 3
SP  - 693
EP  - 712
PG  - 20
SN  - 1814-0424
UR  - https://m2.mtmt.hu/api/publication/30719664
ID  - 30719664
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Guillot, Louis
AU  - Vergez, Christophe
AU  - Cochelin, Bruno
TI  - Continuation of periodic solutions of various types of delay differential equations using asymptotic numerical method and harmonic balance method
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 97
PY  - 2019
IS  - 1
SP  - 123
EP  - 134
PG  - 12
SN  - 0924-090X
DO  - 10.1007/s11071-019-04958-y
UR  - https://m2.mtmt.hu/api/publication/31078604
ID  - 31078604
AB  - This article presents an extension of the asymptotic numerical method combined with the harmonic balance method to the continuation of periodic orbits of delay differential equations. The equations can be forced or autonomous and possibly of neutral type. The approach developed in this paper requires the system of equations to be written in a quadratic formalism which is detailed. The method is applied to various systems, from Van der Pol and Duffing oscillators to toy models of clarinet and saxophone. The harmonic balance method is ascertained from a comparison to standards time-integration solvers. Bifurcation diagrams are drawn which are sometimes intricate, showing the robustness of this method.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Lelkes, János
AU  - Kalmár-Nagy, Tamás
TI  - Bifurcation analysis of a forced delay equation for machine tool vibrations
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 98
PY  - 2019
IS  - 4
SP  - 2961
EP  - 2974
PG  - 14
SN  - 0924-090X
DO  - 10.1007/s11071-019-04984-w
UR  - https://m2.mtmt.hu/api/publication/30647907
ID  - 30647907
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pei, L
AU  - Yang, L
TI  - Prediction of Period-1 oscillations of the state-dependent delayed compound TCP model with PIE queue management policy via HDHBM
JF  - COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
J2  - COMMUN NONLIN SCI NUMER SIMULAT
VL  - 67
PY  - 2019
SP  - 26
EP  - 36
PG  - 11
SN  - 1007-5704
DO  - 10.1016/j.cnsns.2018.06.016
UR  - https://m2.mtmt.hu/api/publication/27640524
ID  - 27640524
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Pei, Lijun
AU  - Wang, Shuo
TI  - Dynamics and the periodic solutions of the delayed non-smooth Internet TCP-RED congestion control system via HB–AFT
JF  - APPLIED MATHEMATICS AND COMPUTATION
J2  - APPL MATH COMPUT
VL  - 361
PY  - 2019
SP  - 689
EP  - 702
PG  - 14
SN  - 0096-3003
DO  - 10.1016/j.amc.2019.06.032
UR  - https://m2.mtmt.hu/api/publication/30738383
ID  - 30738383
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Xing, Siyuan
AU  - Luo, Albert C. J.
TI  - On period-1 motions to chaos in a 1-dimensional, time-delay, nonlinear system
JF  - INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
J2  - INT J DYN CONTROL
VL  - 1
PY  - 2019
SP  - 1
EP  - 7
PG  - 7
SN  - 2195-268X
DO  - 10.1007/s40435-019-00546-5
UR  - https://m2.mtmt.hu/api/publication/30719653
ID  - 30719653
N1  - Export Date: 28 November 2019
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dabiri, Arman
AU  - Butcher, Eric A
AU  - Poursina, Mohammad
AU  - Nazari, Morad
TI  - Optimal Periodic-Gain Fractional Delayed State Feedback Control for Linear Fractional Periodic Time-Delayed Systems
JF  - IEEE TRANSACTIONS ON AUTOMATIC CONTROL
J2  - IEEE T AUTOMAT CONTR
VL  - 63
PY  - 2018
IS  - 4
SP  - 989
EP  - 1002
PG  - 14
SN  - 0018-9286
DO  - 10.1109/TAC.2017.2731522
UR  - https://m2.mtmt.hu/api/publication/27557140
ID  - 27557140
N1  - Export Date: 28 November 2019            
            CODEN: IETAA
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert C J
AU  - Xing, Siyuan
TI  - Analytical Prediction of Period-1 Motions in a Time-Delayed, Softening Duffing Oscillator
T2  - PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2017, VOL 4B
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791858387
PB  - American Society of Mechanical Engineers (ASME)
PY  - 2018
PG  - 7
DO  - 10.1115/IMECE2017-70824
UR  - https://m2.mtmt.hu/api/publication/27313775
ID  - 27313775
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert CJ
AU  - Xing, Siyuan
TI  - Time-delay effects on periodic motions in a Duffing oscillator
T2  - Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives
PB  - Springer Netherlands
PB  - Springer Netherlands
PY  - 2018
SP  - 77
EP  - 100
PG  - 24
UR  - https://m2.mtmt.hu/api/publication/26995022
ID  - 26995022
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Xing, Siyuan
AU  - Luo, Albert C. J.
TI  - Periodic Motions in a First-Order, Time-Delayed, Nonlinear System
T2  - Volume 4B: Dynamics, Vibration, and Control
SN  - 9780791852040
PY  - 2018
DO  - 10.1115/IMECE2018-86824
UR  - https://m2.mtmt.hu/api/publication/30454080
ID  - 30454080
N1  - American Society of Mechanical Engineers (ASME)            
            Conference code: 144113            
            Export Date: 28 November 2019
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Erneux, Thomas
AU  - Javaloyes, Julien
AU  - Wolfrum, Matthias
AU  - Yanchuk, Serhiy
TI  - Introduction to Focus Issue: Time-delay dynamics
JF  - CHAOS
J2  - CHAOS
VL  - 27
PY  - 2017
IS  - 11
PG  - 5
SN  - 1054-1500
DO  - 10.1063/1.5011354
UR  - https://m2.mtmt.hu/api/publication/27107567
ID  - 27107567
N1  - Introduction.

OA green_published
Funding Agency and Grant Number: project COMBINA [TEC2015-65212-C3-3-PMINECO/FEDER UE]; Ramon y Cajal fellowshipMinistry of Education and Science, Spain; IRTG [1740/TRP2015/50122-0]; DFG/FAPESP
            Funding text: J.J. acknowledges financial support project COMBINA (TEC2015-65212-C3-3-PMINECO/FEDER UE) and the Ramon y Cajal fellowship. S.Y. acknowledges the support of IRTG 1740/TRP2015/50122-0, funded by the DFG/FAPESP.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, ACJ
AU  - Xing, S
TI  - Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing oscillator
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 88
PY  - 2017
IS  - 4
SP  - 2831
EP  - 2862
PG  - 32
SN  - 0924-090X
DO  - 10.1007/s11071-017-3415-3
UR  - https://m2.mtmt.hu/api/publication/27006453
ID  - 27006453
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert C J
AU  - Xing, Siyuan
TI  - On Time-Delay Effects on Period-1 Motions in a Periodically Forced, Time-Delayed, Duffing Oscillator
T2  - PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2016, VOL. 4B
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791850558
PB  - American Society of Mechanical Engineers (ASME)
PY  - 2017
PG  - 7
DO  - 10.1115/IMECE201666198
UR  - https://m2.mtmt.hu/api/publication/26761286
ID  - 26761286
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert C J
AU  - Xing, Siyuan
TI  - Period-3 motions in a periodically forced, damped, double-well duffing oscillator with time-delay
T2  - ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017, Volume 6
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791858202
T3  - ASME Proceedings
PB  - American Society of Mechanical Engineers (ASME)
PY  - 2017
DO  - 10.1115/DETC2017-67210
UR  - https://m2.mtmt.hu/api/publication/27012297
ID  - 27012297
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, Albert CJ
AU  - Xing, Siyuan
TI  - Time-delay effects on periodic motions in a periodically forced, time-delayed, hardening Duffing odcillator
JF  - Journal of Vibration Testing and System Dynamics
J2  - s.n.
VL  - 1
PY  - 2017
IS  - 1
SP  - 73
EP  - 91
PG  - 19
SN  - 2475-4811
DO  - 10.5890/JVTSD.2017.03.006
UR  - https://m2.mtmt.hu/api/publication/26793764
ID  - 26793764
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert C J
AU  - Xing, Siyuan
TI  - BIFURCATION TREES OF PERIOD-1 MOTIONS TO CHAOS IN A QUADRATIC NONLINEAR OSCILLATOR WITH TIME-DELAYED DISPLACEMENT
T2  - PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2015, VOL 4B
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791857403
PB  - American Society of Mechanical Engineers (ASME)
PY  - 2016
PG  - 7
UR  - https://m2.mtmt.hu/api/publication/26033780
ID  - 26033780
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Luo, Albert CJ
AU  - Xing, Siyuan
TI  - On Complex Periodic Motions in a Time-Delayed, Double-Well Duffing Oscillator With Strong Excitation
T2  - ASME 2016 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2016), 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791850183
PY  - 2016
PG  - 7
DO  - 10.1115/DETC2016-59343
UR  - https://m2.mtmt.hu/api/publication/26322164
ID  - 26322164
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Molnár, Tamás Gábor
AU  - Insperger, Tamás
TI  - On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment
JF  - JOURNAL OF VIBRATION AND CONTROL
J2  - J VIB CONTROL
VL  - 22
PY  - 2016
IS  - 3
SP  - 649
EP  - 661
PG  - 13
SN  - 1077-5463
DO  - 10.1177/1077546314529602
UR  - https://m2.mtmt.hu/api/publication/2572586
ID  - 2572586
N1  - Funding Agency and Grant Number: Hungarian National Science Foundation [OTKA-K105433]; project "Talent care and cultivation in the scientific workshops of BME" [TAMOP-4.2.2.B-10/1-2010-0009]
            Funding text: This work was supported by the Hungarian National Science Foundation (grant number OTKA-K105433). The work reported in the paper has been developed in the framework of the project "Talent care and cultivation in the scientific workshops of BME" (grant number TAMOP-4.2.2.B-10/1-2010-0009).
Export Date: 28 November 2019            
            CODEN: JVCOF
LA  - English
DB  - MTMT
ER  - 

TY  - THES
AU  - Xing, Siyuan
TI  - Periodic Motions and Bifurcation Trees in a Periodically Excited Duffing Oscillator with Time-delay
PY  - 2016
UR  - https://m2.mtmt.hu/api/publication/26793761
ID  - 26793761
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - 刘南, null
AU  - 白俊强, null
AU  - 华俊, null
AU  - 刘艳, null
TI  - 高阶谐波平衡方法中非物理解来源分析及改进方法研究
JF  - LIXUE XUEBAO / CHINESE JOURNAL OF THEORETICAL AND APPLIED MECHANICS
J2  - CHIN J THEOR APPL MECH
VL  - 48
PY  - 2016
IS  - 4
SP  - 897
EP  - 906
PG  - 10
SN  - 0459-1879
UR  - https://m2.mtmt.hu/api/publication/26322160
ID  - 26322160
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berezansky, Leonid
AU  - Braverman, Elena
AU  - Idels, Lev
TI  - Stabilisation of second-order nonlinear equations with variable delay
JF  - INTERNATIONAL JOURNAL OF CONTROL
J2  - INT J CONTROL
VL  - 88
PY  - 2015
IS  - 8
SP  - 1533
EP  - 1539
PG  - 7
SN  - 0020-7179
DO  - 10.1080/00207179.2015.1009948
UR  - https://m2.mtmt.hu/api/publication/24741782
ID  - 24741782
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Berezansky, Leonid
AU  - Braverman, Elena
AU  - Idels, Lev
TI  - Stability tests for second order linear and nonlinear delayed models
JF  - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
J2  - NODEA-NONLINEAR DIFF
VL  - 22
PY  - 2015
IS  - 6
SP  - 1523
EP  - 1543
PG  - 21
SN  - 1021-9722
DO  - 10.1007/s00030-015-0334-1
UR  - https://m2.mtmt.hu/api/publication/25269238
ID  - 25269238
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Bisconti, Luca
AU  - Spadini, Marco
TI  - Sunflower model: time-dependent coefficients and topology of the periodic solutions set
JF  - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
J2  - NODEA-NONLINEAR DIFF
VL  - 22
PY  - 2015
IS  - 6
SP  - 1573
EP  - 1590
PG  - 18
SN  - 1021-9722
DO  - 10.1007/s00030-015-0336-z
UR  - https://m2.mtmt.hu/api/publication/25273875
ID  - 25273875
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Dabiri, A
AU  - Nazari, M
AU  - Butcher, EA
ED  - Orosz, Gábor
TI  - Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems
T2  - 12th IFAC Workshop on Time Delay Systems (TDS 2015)
PB  - Curran Associates
CY  - Red Hook (NY)
SN  - 9781510818217
T3  - IFAC-PapersOnLine, ISSN 2405-8963 ; 48.
PY  - 2015
SP  - 39
EP  - 44
PG  - 6
DO  - 10.1016/j.ifacol.2015.09.350
UR  - https://m2.mtmt.hu/api/publication/26065041
ID  - 26065041
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, Albert C J
TI  - Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems
JF  - INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
J2  - INT J BIFURCAT CHAOS
VL  - 25
PY  - 2015
IS  - 3
PG  - 62
SN  - 0218-1274
DO  - 10.1142/S0218127415500443
UR  - https://m2.mtmt.hu/api/publication/24891062
ID  - 24891062
N1  - Megjegyzés-25257313
Hiányzó Jelleg: 'JOUR\n\nArticle'
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Megjegyzés-25257103
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Export Date: 28 November 2019
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, Albert CJ
AU  - Jin, Hanxiang
TI  - Complex period-1 motions of a periodically forced Duffing oscillator with a time-delay feedback
JF  - INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
J2  - INT J DYN CONTROL
VL  - 3
PY  - 2015
IS  - 4
SP  - 325
EP  - 340
PG  - 16
SN  - 2195-268X
DO  - 10.1007/s40435-014-0091-8
UR  - https://m2.mtmt.hu/api/publication/25269217
ID  - 25269217
N1  - An Erratum to this article was published on 25 June 2014
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, Albert CJ
AU  - Jin, Hanxiang
TI  - Period-3 motions to chaos in a periodically forced duffing oscillator with a linear time-delay
JF  - INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
J2  - INT J DYN CONTROL
VL  - 3
PY  - 2015
IS  - 4
SP  - 371
EP  - 388
PG  - 18
SN  - 2195-268X
UR  - https://m2.mtmt.hu/api/publication/25269214
ID  - 25269214
LA  - English
DB  - MTMT
ER  - 

TY  - GEN
AU  - Jin, Hanxiang
TI  - Periodic Motions and Bifurcation Tree in a Periodically Excited Duffing Oscillator with Time-delay
PY  - 2014
UR  - https://m2.mtmt.hu/api/publication/24556756
ID  - 24556756
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Liao, Haitao
TI  - Nonlinear Dynamics of Duffing Oscillator with Time Delayed Term
JF  - CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
J2  - CMES-COMP MODEL ENG
VL  - 103
PY  - 2014
IS  - 3
SP  - 155
EP  - 187
PG  - 33
SN  - 1526-1492
UR  - https://m2.mtmt.hu/api/publication/25274789
ID  - 25274789
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, Albert C J
AU  - Jin, Hanxiang
TI  - Period-m Motions to Chaos in a Periodically Forced, Duffing Oscillator with a Time-Delayed Displacement
JF  - INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
J2  - INT J BIFURCAT CHAOS
VL  - 24
PY  - 2014
IS  - 10
PG  - 20
SN  - 0218-1274
DO  - 10.1142/S0218127414501260
UR  - https://m2.mtmt.hu/api/publication/24891063
ID  - 24891063
N1  - Export Date: 28 November 2019
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Luo, Albert C. J.
TI  - Toward Analytical Chaos in Nonlinear Systems
PB  - John Wiley & Sons
CY  - Chichester
PY  - 2014
SP  - 258
SN  - 9781118887158
DO  - 10.1002/9781118887158
UR  - https://m2.mtmt.hu/api/publication/25274860
ID  - 25274860
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Vyasarayani, C P
AU  - Kalmar-Nagy, Tamas
TI  - Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model
JF  - CONTEMPORARY MATHEMATICS
J2  - CONTEMP MATH
VL  - 618
PY  - 2014
SP  - 133
EP  - 145
PG  - 13
SN  - 0271-4132
DO  - 10.1090/conm/618/12348
UR  - https://m2.mtmt.hu/api/publication/25271777
ID  - 25271777
N1  - BE Gumel, AB
Megjegyzés-25269240
BE Gumel, AB
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dai, Hong-Hua
AU  - Yue, Xiao-Kui
AU  - Yuan, Jian-Ping
TI  - A time domain collocation method for obtaining the third superharmonic solutions to the Duffing oscillator
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 73
PY  - 2013
IS  - 1-2
SP  - 593
EP  - 609
PG  - 17
SN  - 0924-090X
DO  - 10.1007/s11071-013-0813-z
UR  - https://m2.mtmt.hu/api/publication/24931410
ID  - 24931410
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Ding, Q
AU  - Zhai, H
TI  - The advance in researches of friction dynamics in mechanics system
JF  - ADVANCES IN MECHANICS
J2  - ADV MECH
VL  - 43
PY  - 2013
IS  - 1
SP  - 112
EP  - 131
PG  - 20
SN  - 1000-0992
DO  - 10.6052/1000-0992-12-039
UR  - https://m2.mtmt.hu/api/publication/25274861
ID  - 25274861
LA  - Chinese
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kim, Pilkee
AU  - Sun, Wan
AU  - Seok, Jongwon
ED  - Jiang, ZY
ED  - Liu, XH
ED  - Jiao, SH
ED  - Han, JT
TI  - High-dimensional Harmonic Balance Analysis for a Turning Process with State-dependent Delay
JF  - ADVANCED MATERIALS RESEARCH
J2  - ADV MATER RES
VL  - 655-657
PY  - 2013
SP  - 515
EP  - 520
PG  - 6
SN  - 1022-6680
DO  - 10.4028/www.scientific.net/AMR.655-657.515
UR  - https://m2.mtmt.hu/api/publication/24931408
ID  - 24931408
N1  - Megjegyzés-23338037
BE Han, JT
Megjegyzés-23767824
BE Han, JT
Megjegyzés-23318308
BE Han, JT
Megjegyzés-23010235
T3 2012 3rd International Conference on Advances in Materials and Manufacturing Processes, ICAMMP 2012
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kuo, Peien
AU  - Hosein, Aiblaastin
AU  - Farmanborda, Muster Satis
TI  - Nonlinear output feedback control of a flexible link using adaptive neural network: controller design
JF  - JOURNAL OF VIBRATION AND CONTROL
J2  - J VIB CONTROL
VL  - 19
PY  - 2013
IS  - 11
SP  - 1690
EP  - 1708
PG  - 19
SN  - 1077-5463
DO  - 10.1177/1077546312445497
UR  - https://m2.mtmt.hu/api/publication/24931407
ID  - 24931407
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kuo, Peien
AU  - Hosein, Aiblaastin
AU  - Farmanborda, Muster Satis
TI  - Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis
JF  - JOURNAL OF VIBRATION AND CONTROL
J2  - J VIB CONTROL
VL  - 19
PY  - 2013
IS  - 11
SP  - 1674
EP  - 1689
PG  - 16
SN  - 1077-5463
DO  - 10.1177/1077546312445498
UR  - https://m2.mtmt.hu/api/publication/24931406
ID  - 24931406
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Luo, ACJ
TI  - Analytical solutions for periodic motions to chaos in nonlinear systems with/without time-delay
JF  - INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
J2  - INT J DYN CONTROL
VL  - 1
PY  - 2013
IS  - 4
SP  - 330
EP  - 359
PG  - 30
SN  - 2195-268X
DO  - 10.1007/s40435-013-0024-y
UR  - https://m2.mtmt.hu/api/publication/26073569
ID  - 26073569
N1  - Export Date: 28 November 2019
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Nandakumar, K
AU  - Wiercigroch, Marian
TI  - Galerkin projections for state-dependent delay differential equations with applications to drilling
JF  - APPLIED MATHEMATICAL MODELLING
J2  - APPL MATH MODEL
VL  - 37
PY  - 2013
IS  - 4
SP  - 1705
EP  - 1722
PG  - 18
SN  - 0307-904X
DO  - 10.1016/j.apm.2012.04.038
UR  - https://m2.mtmt.hu/api/publication/24931409
ID  - 24931409
N1  - Megjegyzés-23977676
: Applications; Mechanics
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Dai, Hong-Hua
AU  - Schnoor, Matt
AU  - Atluri, Satya N
TI  - A Simple Collocation Scheme for Obtaining the Periodic Solutions of the Duffing Equation, and its Equivalence to the High Dimensional Harmonic Balance Method: Subharmonic Oscillations
JF  - CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
J2  - CMES-COMP MODEL ENG
VL  - 84
PY  - 2012
IS  - 5
SP  - 459
EP  - 497
PG  - 39
SN  - 1526-1492
UR  - https://m2.mtmt.hu/api/publication/24931411
ID  - 24931411
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Insperger, Tamás
AU  - Stépán, Gábor
TI  - Semi-Discretization for Time-Delay Systems. Stability and Engineering Applications
TS  - Stability and Engineering Applications
T3  - Applied Mathematical Sciences, ISSN 0066-5452 ; 178.
ET  - 0
PB  - Springer-Verlag London Ltd
CY  - New York, New York
PY  - 2011
SP  - 174
SN  - 9781461403340
DO  - 10.1007/978-1-4614-0335-7
UR  - https://m2.mtmt.hu/api/publication/1629264
ID  - 1629264
AB  - The book presents the recently introduced and already widely cited semi-discretization method for the stability analysis of delayed dynamical systems with parametric excitation. Delay-differential equations often come up in different fields of engineering, such as feedback control systems, machine tool vibrations, and balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. The same holds for parametrically excited systems. If parametric excitation is coupled with the delay effect, then the governing equation is a delay-differential equation with time-periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. This discretization results in a system of ordinary differential equations that can be solved using standard techniques, which are part of basic engineering curriculums. The method can effectively be used to construct stability charts in the space of system parameters. These charts provide a useful tool for engineers, since they present an overview on the effects of system parameters on the local dynamics of the system. The book presents the application of the method to different engineering problems, such as dynamics of turning and milling processes with constant and with varying spindle speeds, stick balancing with reflex delay, force control processes in the presence of feedback delay, and stabilization using time-periodic control gains.

The book is designed for graduate and PhD students as well as researchers working in the field of delayed dynamical systems with application to mechanical, electrical and chemical engineering, control theory, biomechanics, population dynamics, neuro-physiology, and climate research.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Insperger, Tamás
AU  - Wahi, P
AU  - Colombo, A
AU  - Stépán, Gábor
AU  - Di Bernardo, M
AU  - Hogan, SJ
TI  - Full Characterization of Act-and-wait Control for First-order Unstable Lag Processes
JF  - JOURNAL OF VIBRATION AND CONTROL
J2  - J VIB CONTROL
VL  - 16
PY  - 2010
IS  - 7-8
SP  - 1209
EP  - 1233
PG  - 25
SN  - 1077-5463
DO  - 10.1177/1077546309341135
UR  - https://m2.mtmt.hu/api/publication/1359732
ID  - 1359732
N1  - Megjegyzés-23977651
ID: it_wahi2010
Funding Agency and Grant Number: Centre de Recerca Matematica (CRM), Barcelona; Hungarian Academy of SciencesHungarian Academy of Sciences; Hungarian National Science Foundation [OTKA K72911, OTKA T068910]
            Funding text: The authors acknowledge the support from the Centre de Recerca Matematica (CRM), Barcelona, Thematic Research Term on Non-Smooth Complex Systems. Tamas Insperger was supported by the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and the Hungarian National Science Foundation under grant no. OTKA K72911. Gabor Stepan was supported by the Hungarian National Science Foundation under grant no. OTKA T068910.
Export Date: 28 November 2019            
            CODEN: JVCOF
AB  - Act-and-wait control is a special case of time-periodic control for systems with feedback delay, where the control gains are periodically switched on and off in order to stabilize otherwise unstable systems. The stability of feedback systems in the presence of time delay is a challenging problem. In this paper, we show that the act-and-wait type time-periodic control can always provide deadbeat control for first-order unstable lag processes with any (large but) fixed value of the time delay in the feedback loop. A full characterization of this act-and-wait controller with respect to the system and control parameters is given based on performance and robustness against disturbances.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Mann, BP
AU  - Patel, BR
TI  - Stability of Delay Equations Written as State Space Models
JF  - JOURNAL OF VIBRATION AND CONTROL
J2  - J VIB CONTROL
VL  - 16
PY  - 2010
IS  - 7-8
SP  - 1067
EP  - 1085
PG  - 19
SN  - 1077-5463
DO  - 10.1177/1077546309341111
UR  - https://m2.mtmt.hu/api/publication/23771810
ID  - 23771810
N1  - Funding Agency and Grant Number: U.S National Science FoundationNational Science Foundation (NSF) [CMS-0542418]
            Funding text: Support from U.S National Science Foundation CAREER Award (CMS-0542418) is gratefully acknowledged.
Export Date: 28 November 2019            
            CODEN: JVCOF
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Khasawneh, Firas A
AU  - Mann, Brian P
AU  - Patel, Bhavin
TI  - A state-space temporal finite element approach for stability investigations of delay equations
T2  - ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791848968
T3  - ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems
PY  - 2009
SP  - 415
EP  - 423
PG  - 9
DO  - 10.1115/SMASIS2009-1263
UR  - https://m2.mtmt.hu/api/publication/24790717
ID  - 24790717
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Zhao, Siming
AU  - Kalmár-Nagy, Tamás
TI  - Center manifold analysis of the delayed Liénard equation
T2  - Delay Differential Equations
PB  - Springer Netherlands
SN  - 0387855947
PB  - Springer Netherlands
PY  - 2009
SP  - 1
EP  - 17
PG  - 17
UR  - https://m2.mtmt.hu/api/publication/25269223
ID  - 25269223
LA  - English
DB  - MTMT
ER  -