@article{MTMT:33734932,
	title = {Analysis of Hopf–Hopf Interactions Induced by Multiple Delays for Inertial Hopfield Neural Models},
	url = {https://m2.mtmt.hu/api/publication/33734932},
	author = {Ge, Juhong},
	doi = {10.3390/fractalfract7020116},
	journal-iso = {FRACTAL FRACT},
	journal = {FRACTAL AND FRACTIONAL},
	volume = {7},
	unique-id = {33734932},
	abstract = {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.},
	year = {2023},
	eissn = {2504-3110},
	pages = {116-129},
	orcid-numbers = {Ge, Juhong/0000-0001-5749-2614}
}

@article{MTMT:33734971,
	title = {Incremental harmonic balance method for multi-harmonic solution of high-dimensional delay differential equations: Application to crossflow-induced nonlinear vibration of steam generator tubes},
	url = {https://m2.mtmt.hu/api/publication/33734971},
	author = {Sun, Pan and Zhao, Xielin and Yu, Xiaofei and Huang, Qian and Feng, Zhipeng and Zhou, Jinxiong},
	doi = {10.1016/j.apm.2023.02.018},
	journal-iso = {APPL MATH MODEL},
	journal = {APPLIED MATHEMATICAL MODELLING},
	volume = {118},
	unique-id = {33734971},
	issn = {0307-904X},
	year = {2023},
	eissn = {1872-8480},
	pages = {818-831},
	orcid-numbers = {Zhou, Jinxiong/0000-0001-8453-7443}
}

@article{MTMT:33896342,
	title = {Harmonic Balance Methods: A Review and Recent Developments},
	url = {https://m2.mtmt.hu/api/publication/33896342},
	author = {Yan, Zipu and Dai, Honghua and Wang, Qisi and Atluri, Satya N.},
	doi = {10.32604/cmes.2023.028198},
	journal-iso = {CMES-COMP MODEL ENG},
	journal = {CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES},
	unique-id = {33896342},
	issn = {1526-1492},
	abstract = {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.},
	keywords = {Harmonic balance; frequency domain HB-like method; time domain HB-like method; dealiasing technique; HB algebraic equation},
	year = {2023},
	eissn = {1526-1506},
	orcid-numbers = {Wang, Qisi/0000-0003-1390-6306}
}

@article{MTMT:33012605,
	title = {Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods},
	url = {https://m2.mtmt.hu/api/publication/33012605},
	author = {Pei, Lijun and Chong, Antonio S. E. and Pavlovskaia, Ekaterina and Wiercigroch, Marian},
	doi = {10.1016/j.cnsns.2021.106220},
	journal-iso = {COMMUN NONLIN SCI NUMER SIMULAT},
	journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION},
	volume = {108},
	unique-id = {33012605},
	issn = {1007-5704},
	abstract = {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.},
	keywords = {Incremental harmonic balance method; Piecewise linear oscillator with play; IHBM; Harmonic Balance with Alternative; Frequency and Time; HB-AFT; Computation of periodic orbits},
	year = {2022},
	eissn = {1878-7274}
}

@article{MTMT:32052740,
	title = {Periodic, Quasi-Periodic and Chaotic Oscillations in Two Heterogeneous AIMD/RED Network Congestion Models with State-Dependent Round-Trip Delays},
	url = {https://m2.mtmt.hu/api/publication/32052740},
	author = {Pei, Lijun and Wu, Fanxin and Wang, Shuo},
	doi = {10.1142/S0218127421501248},
	journal-iso = {INT J BIFURCAT CHAOS},
	journal = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS},
	volume = {31},
	unique-id = {32052740},
	issn = {0218-1274},
	year = {2021},
	eissn = {1793-6551},
	pages = {1-21},
	orcid-numbers = {Pei, Lijun/0000-0002-3767-5656}
}

@article{MTMT:33012606,
	title = {The sunflower equation: novel stability criteria},
	url = {https://m2.mtmt.hu/api/publication/33012606},
	author = {Smirnova, Vera B. and Proskurnikov, Anton V and Zgoda, Iurii},
	doi = {10.1016/j.ifacol.2021.11.038},
	journal-iso = {IFACOL},
	journal = {IFAC PAPERSONLINE},
	volume = {54},
	unique-id = {33012606},
	abstract = {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.},
	keywords = {STABILITY; nonlinear system; Sunflower equation; delays system},
	year = {2021},
	eissn = {2405-8963},
	pages = {135-140},
	orcid-numbers = {Proskurnikov, Anton V/0000-0001-7065-7698}
}

@book{MTMT:31349141,
	title = {Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations},
	url = {https://m2.mtmt.hu/api/publication/31349141},
	isbn = {9780429321689},
	author = {Berezansky, Leonid and Domoshnitsky, Alexander and Koplatadze, Roman},
	doi = {10.1201/9780429321689},
	publisher = {Chapman and Hall/CRC},
	unique-id = {31349141},
	year = {2020}
}

@article{MTMT:31392472,
	title = {Stability Analysis Method for Periodic Delay Differential Equations with Multiple Distributed and Time-Varying Delays},
	url = {https://m2.mtmt.hu/api/publication/31392472},
	author = {Jin, Gang and Zhang, Xinyu and Zhang, Kaifei and Li, Hua and Li, Zhanjie and Han, Jianxin and Qi, Houjun},
	doi = {10.1155/2020/1982363},
	journal-iso = {MATH PROBL ENG},
	journal = {MATHEMATICAL PROBLEMS IN ENGINEERING},
	volume = {2020},
	unique-id = {31392472},
	issn = {1024-123X},
	year = {2020},
	eissn = {1563-5147},
	pages = {1-9},
	orcid-numbers = {Jin, Gang/0000-0002-8565-4278; Zhang, Kaifei/0000-0002-1091-4653; Han, Jianxin/0000-0003-3172-635X}
}

@article{MTMT:31294153,
	title = {Analytical technique for neutral delay differential equations with proportional and constant delays},
	url = {https://m2.mtmt.hu/api/publication/31294153},
	author = {Maan, Normah and Barde, Aminu},
	doi = {10.22436/jmcs.020.04.07},
	journal-iso = {J MATH COMPUT SCI},
	journal = {JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE},
	volume = {20},
	unique-id = {31294153},
	issn = {2008-949X},
	year = {2020},
	pages = {334-348}
}

@article{MTMT:31682073,
	title = {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},
	url = {https://m2.mtmt.hu/api/publication/31682073},
	author = {Pei, Lijun and Zhang, Hongyang and Chen, Yueli},
	doi = {10.1155/2020/5982403},
	editor = {Mrugalski, Marcin},
	journal-iso = {COMPLEXITY},
	journal = {COMPLEXITY},
	volume = {2020},
	unique-id = {31682073},
	issn = {1076-2787},
	year = {2020},
	eissn = {1099-0526},
	pages = {1-15},
	orcid-numbers = {Pei, Lijun/0000-0002-3767-5656; Zhang, Hongyang/0000-0003-0986-3251; Chen, Yueli/0000-0002-4025-6268}
}

@article{MTMT:31344481,
	title = {Periodic solutions and complicated dynamics in network congestion control systems with state-dependent round-trip delays and non-smooth dropping probability},
	url = {https://m2.mtmt.hu/api/publication/31344481},
	author = {Wang, Shuo and Pei, Lijun},
	doi = {10.1063/1.5143033},
	journal-iso = {CHAOS},
	journal = {CHAOS},
	volume = {30},
	unique-id = {31344481},
	issn = {1054-1500},
	abstract = {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.},
	year = {2020},
	eissn = {1089-7682}
}

@article{MTMT:30828107,
	title = {Analytical Algorithm for Systems of Neutral Delay Differential Equations},
	url = {https://m2.mtmt.hu/api/publication/30828107},
	author = {Barde, Aminu and Maan, Normah},
	doi = {10.4236/am.2019.109054},
	journal-iso = {APPLIED MATHEMATICS},
	journal = {APPLIED MATHEMATICS},
	volume = {10},
	unique-id = {30828107},
	issn = {2152-7385},
	year = {2019},
	eissn = {2152-7393},
	pages = {753-768}
}

@article{MTMT:30719664,
	title = {Efficient Analytical Approach for Nonlinear System of Delay Differential Equations},
	url = {https://m2.mtmt.hu/api/publication/30719664},
	author = {Barde, Aminu and Normah, Maan},
	journal-iso = {Int J Math Comp Sci},
	journal = {INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE},
	volume = {14},
	unique-id = {30719664},
	issn = {1814-0424},
	year = {2019},
	eissn = {1814-0432},
	pages = {693-712}
}

@article{MTMT:31078604,
	title = {Continuation of periodic solutions of various types of delay differential equations using asymptotic numerical method and harmonic balance method},
	url = {https://m2.mtmt.hu/api/publication/31078604},
	author = {Guillot, Louis and Vergez, Christophe and Cochelin, Bruno},
	doi = {10.1007/s11071-019-04958-y},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {97},
	unique-id = {31078604},
	issn = {0924-090X},
	abstract = {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.},
	keywords = {NONLINEAR DYNAMICS; Numerical continuation; periodic solutions; delay equations; Harmonic balance method; Asymptotic Numerical Method; Quadratic recast},
	year = {2019},
	eissn = {1573-269X},
	pages = {123-134}
}

@article{MTMT:30647907,
	title = {Bifurcation analysis of a forced delay equation for machine tool vibrations},
	url = {https://m2.mtmt.hu/api/publication/30647907},
	author = {Lelkes, János and Kalmár-Nagy, Tamás},
	doi = {10.1007/s11071-019-04984-w},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {98},
	unique-id = {30647907},
	issn = {0924-090X},
	year = {2019},
	eissn = {1573-269X},
	pages = {2961-2974},
	orcid-numbers = {Lelkes, János/0000-0002-6205-4923; Kalmár-Nagy, Tamás/0000-0003-1374-2620}
}

@article{MTMT:27640524,
	title = {Prediction of Period-1 oscillations of the state-dependent delayed compound TCP model with PIE queue management policy via HDHBM},
	url = {https://m2.mtmt.hu/api/publication/27640524},
	author = {Pei, L and Yang, L},
	doi = {10.1016/j.cnsns.2018.06.016},
	journal-iso = {COMMUN NONLIN SCI NUMER SIMULAT},
	journal = {COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION},
	volume = {67},
	unique-id = {27640524},
	issn = {1007-5704},
	year = {2019},
	eissn = {1878-7274},
	pages = {26-36}
}

@article{MTMT:30738383,
	title = {Dynamics and the periodic solutions of the delayed non-smooth Internet TCP-RED congestion control system via HB–AFT},
	url = {https://m2.mtmt.hu/api/publication/30738383},
	author = {Pei, Lijun and Wang, Shuo},
	doi = {10.1016/j.amc.2019.06.032},
	journal-iso = {APPL MATH COMPUT},
	journal = {APPLIED MATHEMATICS AND COMPUTATION},
	volume = {361},
	unique-id = {30738383},
	issn = {0096-3003},
	year = {2019},
	eissn = {1873-5649},
	pages = {689-702}
}

@article{MTMT:30719653,
	title = {On period-1 motions to chaos in a 1-dimensional, time-delay, nonlinear system},
	url = {https://m2.mtmt.hu/api/publication/30719653},
	author = {Xing, Siyuan and Luo, Albert C. J.},
	doi = {10.1007/s40435-019-00546-5},
	journal-iso = {INT J DYN CONTROL},
	journal = {INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL},
	volume = {1},
	unique-id = {30719653},
	issn = {2195-268X},
	year = {2019},
	eissn = {2195-2698},
	pages = {1-7}
}

@article{MTMT:27557140,
	title = {Optimal Periodic-Gain Fractional Delayed State Feedback Control for Linear Fractional Periodic Time-Delayed Systems},
	url = {https://m2.mtmt.hu/api/publication/27557140},
	author = {Dabiri, Arman and Butcher, Eric A and Poursina, Mohammad and Nazari, Morad},
	doi = {10.1109/TAC.2017.2731522},
	journal-iso = {IEEE T AUTOMAT CONTR},
	journal = {IEEE TRANSACTIONS ON AUTOMATIC CONTROL},
	volume = {63},
	unique-id = {27557140},
	issn = {0018-9286},
	year = {2018},
	eissn = {1558-2523},
	pages = {989-1002}
}

@inproceedings{MTMT:27313775,
	title = {Analytical Prediction of Period-1 Motions in a Time-Delayed, Softening Duffing Oscillator},
	url = {https://m2.mtmt.hu/api/publication/27313775},
	author = {Luo, Albert C J and Xing, Siyuan},
	booktitle = {PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2017, VOL 4B},
	doi = {10.1115/IMECE2017-70824},
	publisher = {American Society of Mechanical Engineers (ASME)},
	unique-id = {27313775},
	year = {2018}
}

@{MTMT:26995022,
	title = {Time-delay effects on periodic motions in a Duffing oscillator},
	url = {https://m2.mtmt.hu/api/publication/26995022},
	author = {Luo, Albert CJ and Xing, Siyuan},
	booktitle = {Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives},
	publisher = {Springer Netherlands},
	unique-id = {26995022},
	year = {2018},
	pages = {77-100}
}

@inproceedings{MTMT:30454080,
	title = {Periodic Motions in a First-Order, Time-Delayed, Nonlinear System},
	url = {https://m2.mtmt.hu/api/publication/30454080},
	author = {Xing, Siyuan and Luo, Albert C. J.},
	booktitle = {Volume 4B: Dynamics, Vibration, and Control},
	doi = {10.1115/IMECE2018-86824},
	unique-id = {30454080},
	year = {2018}
}

@article{MTMT:27107567,
	title = {Introduction to Focus Issue: Time-delay dynamics},
	url = {https://m2.mtmt.hu/api/publication/27107567},
	author = {Erneux, Thomas and Javaloyes, Julien and Wolfrum, Matthias and Yanchuk, Serhiy},
	doi = {10.1063/1.5011354},
	journal-iso = {CHAOS},
	journal = {CHAOS},
	volume = {27},
	unique-id = {27107567},
	issn = {1054-1500},
	year = {2017},
	eissn = {1089-7682}
}

@article{MTMT:27006453,
	title = {Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing oscillator},
	url = {https://m2.mtmt.hu/api/publication/27006453},
	author = {Luo, ACJ and Xing, S},
	doi = {10.1007/s11071-017-3415-3},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {88},
	unique-id = {27006453},
	issn = {0924-090X},
	year = {2017},
	eissn = {1573-269X},
	pages = {2831-2862}
}

@inproceedings{MTMT:26761286,
	title = {On Time-Delay Effects on Period-1 Motions in a Periodically Forced, Time-Delayed, Duffing Oscillator},
	url = {https://m2.mtmt.hu/api/publication/26761286},
	author = {Luo, Albert C J and Xing, Siyuan},
	booktitle = {PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2016, VOL. 4B},
	doi = {10.1115/IMECE201666198},
	publisher = {American Society of Mechanical Engineers (ASME)},
	unique-id = {26761286},
	year = {2017}
}

@inproceedings{MTMT:27012297,
	title = {Period-3 motions in a periodically forced, damped, double-well duffing oscillator with time-delay},
	url = {https://m2.mtmt.hu/api/publication/27012297},
	author = {Luo, Albert C J and Xing, Siyuan},
	booktitle = {ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017, Volume 6},
	doi = {10.1115/DETC2017-67210},
	publisher = {American Society of Mechanical Engineers (ASME)},
	unique-id = {27012297},
	year = {2017}
}

@article{MTMT:26793764,
	title = {Time-delay effects on periodic motions in a periodically forced, time-delayed, hardening Duffing odcillator},
	url = {https://m2.mtmt.hu/api/publication/26793764},
	author = {Luo, Albert CJ and Xing, Siyuan},
	doi = {10.5890/JVTSD.2017.03.006},
	journal-iso = {s.n.},
	journal = {Journal of Vibration Testing and System Dynamics},
	volume = {1},
	unique-id = {26793764},
	issn = {2475-4811},
	year = {2017},
	eissn = {2475-482X},
	pages = {73-91}
}

@inproceedings{MTMT:26033780,
	title = {BIFURCATION TREES OF PERIOD-1 MOTIONS TO CHAOS IN A QUADRATIC NONLINEAR OSCILLATOR WITH TIME-DELAYED DISPLACEMENT},
	url = {https://m2.mtmt.hu/api/publication/26033780},
	author = {Luo, Albert C J and Xing, Siyuan},
	booktitle = {PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2015, VOL 4B},
	publisher = {American Society of Mechanical Engineers (ASME)},
	unique-id = {26033780},
	year = {2016}
}

@inproceedings{MTMT:26322164,
	title = {On Complex Periodic Motions in a Time-Delayed, Double-Well Duffing Oscillator With Strong Excitation},
	url = {https://m2.mtmt.hu/api/publication/26322164},
	author = {Luo, Albert CJ and Xing, Siyuan},
	booktitle = {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},
	doi = {10.1115/DETC2016-59343},
	unique-id = {26322164},
	year = {2016}
}

@article{MTMT:2572586,
	title = {On the robust stabilizability of unstable systems with feedback delay by finite spectrum assignment},
	url = {https://m2.mtmt.hu/api/publication/2572586},
	author = {Molnár, Tamás Gábor and Insperger, Tamás},
	doi = {10.1177/1077546314529602},
	journal-iso = {J VIB CONTROL},
	journal = {JOURNAL OF VIBRATION AND CONTROL},
	volume = {22},
	unique-id = {2572586},
	issn = {1077-5463},
	year = {2016},
	eissn = {1741-2986},
	pages = {649-661},
	orcid-numbers = {Molnár, Tamás Gábor/0000-0002-9379-7121; Insperger, Tamás/0000-0001-7518-9774}
}

@mastersthesis{MTMT:26793761,
	title = {Periodic Motions and Bifurcation Trees in a Periodically Excited Duffing Oscillator with Time-delay},
	url = {https://m2.mtmt.hu/api/publication/26793761},
	author = {Xing, Siyuan},
	unique-id = {26793761},
	year = {2016}
}

@article{MTMT:26322160,
	title = {高阶谐波平衡方法中非物理解来源分析及改进方法研究},
	url = {https://m2.mtmt.hu/api/publication/26322160},
	author = {刘南 and 白俊强 and 华俊 and 刘艳},
	journal-iso = {CHIN J THEOR APPL MECH},
	journal = {LIXUE XUEBAO / CHINESE JOURNAL OF THEORETICAL AND APPLIED MECHANICS},
	volume = {48},
	unique-id = {26322160},
	issn = {0459-1879},
	year = {2016},
	pages = {897-906}
}

@article{MTMT:24741782,
	title = {Stabilisation of second-order nonlinear equations with variable delay},
	url = {https://m2.mtmt.hu/api/publication/24741782},
	author = {Berezansky, Leonid and Braverman, Elena and Idels, Lev},
	doi = {10.1080/00207179.2015.1009948},
	journal-iso = {INT J CONTROL},
	journal = {INTERNATIONAL JOURNAL OF CONTROL},
	volume = {88},
	unique-id = {24741782},
	issn = {0020-7179},
	year = {2015},
	eissn = {1366-5820},
	pages = {1533-1539}
}

@article{MTMT:25269238,
	title = {Stability tests for second order linear and nonlinear delayed models},
	url = {https://m2.mtmt.hu/api/publication/25269238},
	author = {Berezansky, Leonid and Braverman, Elena and Idels, Lev},
	doi = {10.1007/s00030-015-0334-1},
	journal-iso = {NODEA-NONLINEAR DIFF},
	journal = {NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS},
	volume = {22},
	unique-id = {25269238},
	issn = {1021-9722},
	year = {2015},
	eissn = {1420-9004},
	pages = {1523-1543}
}

@article{MTMT:25273875,
	title = {Sunflower model: time-dependent coefficients and topology of the periodic solutions set},
	url = {https://m2.mtmt.hu/api/publication/25273875},
	author = {Bisconti, Luca and Spadini, Marco},
	doi = {10.1007/s00030-015-0336-z},
	journal-iso = {NODEA-NONLINEAR DIFF},
	journal = {NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS},
	volume = {22},
	unique-id = {25273875},
	issn = {1021-9722},
	year = {2015},
	eissn = {1420-9004},
	pages = {1573-1590}
}

@inproceedings{MTMT:26065041,
	title = {Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems},
	url = {https://m2.mtmt.hu/api/publication/26065041},
	author = {Dabiri, A and Nazari, M and Butcher, EA},
	booktitle = {12th IFAC Workshop on Time Delay Systems (TDS 2015)},
	doi = {10.1016/j.ifacol.2015.09.350},
	unique-id = {26065041},
	year = {2015},
	pages = {39-44}
}

@article{MTMT:24891062,
	title = {Periodic Flows to Chaos Based on Discrete Implicit Mappings of Continuous Nonlinear Systems},
	url = {https://m2.mtmt.hu/api/publication/24891062},
	author = {Luo, Albert C J},
	doi = {10.1142/S0218127415500443},
	journal-iso = {INT J BIFURCAT CHAOS},
	journal = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS},
	volume = {25},
	unique-id = {24891062},
	issn = {0218-1274},
	year = {2015},
	eissn = {1793-6551}
}

@article{MTMT:25269217,
	title = {Complex period-1 motions of a periodically forced Duffing oscillator with a time-delay feedback},
	url = {https://m2.mtmt.hu/api/publication/25269217},
	author = {Luo, Albert CJ and Jin, Hanxiang},
	doi = {10.1007/s40435-014-0091-8},
	journal-iso = {INT J DYN CONTROL},
	journal = {INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL},
	volume = {3},
	unique-id = {25269217},
	issn = {2195-268X},
	year = {2015},
	eissn = {2195-2698},
	pages = {325-340}
}

@article{MTMT:25269214,
	title = {Period-3 motions to chaos in a periodically forced duffing oscillator with a linear time-delay},
	url = {https://m2.mtmt.hu/api/publication/25269214},
	author = {Luo, Albert CJ and Jin, Hanxiang},
	journal-iso = {INT J DYN CONTROL},
	journal = {INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL},
	volume = {3},
	unique-id = {25269214},
	issn = {2195-268X},
	year = {2015},
	eissn = {2195-2698},
	pages = {371-388}
}

@misc{MTMT:24556756,
	title = {Periodic Motions and Bifurcation Tree in a Periodically Excited Duffing Oscillator with Time-delay},
	url = {https://m2.mtmt.hu/api/publication/24556756},
	author = {Jin, Hanxiang},
	unique-id = {24556756},
	year = {2014}
}

@article{MTMT:25274789,
	title = {Nonlinear Dynamics of Duffing Oscillator with Time Delayed Term},
	url = {https://m2.mtmt.hu/api/publication/25274789},
	author = {Liao, Haitao},
	journal-iso = {CMES-COMP MODEL ENG},
	journal = {CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES},
	volume = {103},
	unique-id = {25274789},
	issn = {1526-1492},
	year = {2014},
	eissn = {1526-1506},
	pages = {155-187}
}

@article{MTMT:24891063,
	title = {Period-m Motions to Chaos in a Periodically Forced, Duffing Oscillator with a Time-Delayed Displacement},
	url = {https://m2.mtmt.hu/api/publication/24891063},
	author = {Luo, Albert C J and Jin, Hanxiang},
	doi = {10.1142/S0218127414501260},
	journal-iso = {INT J BIFURCAT CHAOS},
	journal = {INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS},
	volume = {24},
	unique-id = {24891063},
	issn = {0218-1274},
	year = {2014},
	eissn = {1793-6551}
}

@book{MTMT:25274860,
	title = {Toward Analytical Chaos in Nonlinear Systems},
	url = {https://m2.mtmt.hu/api/publication/25274860},
	isbn = {9781118658611},
	author = {Luo, Albert C. J.},
	doi = {10.1002/9781118887158},
	publisher = {Wiley},
	unique-id = {25274860},
	year = {2014}
}

@article{MTMT:25271777,
	title = {Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model},
	url = {https://m2.mtmt.hu/api/publication/25271777},
	author = {Vyasarayani, C P and Kalmar-Nagy, Tamas},
	doi = {10.1090/conm/618/12348},
	journal-iso = {CONTEMP MATH},
	journal = {CONTEMPORARY MATHEMATICS},
	volume = {618},
	unique-id = {25271777},
	issn = {0271-4132},
	year = {2014},
	pages = {133-145}
}

@article{MTMT:24931410,
	title = {A time domain collocation method for obtaining the third superharmonic solutions to the Duffing oscillator},
	url = {https://m2.mtmt.hu/api/publication/24931410},
	author = {Dai, Hong-Hua and Yue, Xiao-Kui and Yuan, Jian-Ping},
	doi = {10.1007/s11071-013-0813-z},
	journal-iso = {NONLINEAR DYNAM},
	journal = {NONLINEAR DYNAMICS},
	volume = {73},
	unique-id = {24931410},
	issn = {0924-090X},
	year = {2013},
	eissn = {1573-269X},
	pages = {593-609}
}

@article{MTMT:25274861,
	title = {The advance in researches of friction dynamics in mechanics system},
	url = {https://m2.mtmt.hu/api/publication/25274861},
	author = {Ding, Q and Zhai, H},
	doi = {10.6052/1000-0992-12-039},
	journal-iso = {ADV MECH},
	journal = {ADVANCES IN MECHANICS},
	volume = {43},
	unique-id = {25274861},
	issn = {1000-0992},
	year = {2013},
	pages = {112-131}
}

@article{MTMT:24931408,
	title = {High-dimensional Harmonic Balance Analysis for a Turning Process with State-dependent Delay},
	url = {https://m2.mtmt.hu/api/publication/24931408},
	author = {Kim, Pilkee and Sun, Wan and Seok, Jongwon},
	doi = {10.4028/www.scientific.net/AMR.655-657.515},
	editor = {Jiang, ZY and Liu, XH and Jiao, SH and Han, JT},
	journal-iso = {ADV MATER RES},
	journal = {ADVANCED MATERIALS RESEARCH},
	volume = {655-657},
	unique-id = {24931408},
	issn = {1022-6680},
	year = {2013},
	eissn = {1662-8985},
	pages = {515-520}
}

@article{MTMT:24931407,
	title = {Nonlinear output feedback control of a flexible link using adaptive neural network: controller design},
	url = {https://m2.mtmt.hu/api/publication/24931407},
	author = {Kuo, Peien and Hosein, Aiblaastin and Farmanborda, Muster Satis},
	doi = {10.1177/1077546312445497},
	journal-iso = {J VIB CONTROL},
	journal = {JOURNAL OF VIBRATION AND CONTROL},
	volume = {19},
	unique-id = {24931407},
	issn = {1077-5463},
	year = {2013},
	eissn = {1741-2986},
	pages = {1690-1708}
}

@article{MTMT:24931406,
	title = {Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis},
	url = {https://m2.mtmt.hu/api/publication/24931406},
	author = {Kuo, Peien and Hosein, Aiblaastin and Farmanborda, Muster Satis},
	doi = {10.1177/1077546312445498},
	journal-iso = {J VIB CONTROL},
	journal = {JOURNAL OF VIBRATION AND CONTROL},
	volume = {19},
	unique-id = {24931406},
	issn = {1077-5463},
	year = {2013},
	eissn = {1741-2986},
	pages = {1674-1689}
}

@article{MTMT:26073569,
	title = {Analytical solutions for periodic motions to chaos in nonlinear systems with/without time-delay},
	url = {https://m2.mtmt.hu/api/publication/26073569},
	author = {Luo, ACJ},
	doi = {10.1007/s40435-013-0024-y},
	journal-iso = {INT J DYN CONTROL},
	journal = {INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL},
	volume = {1},
	unique-id = {26073569},
	issn = {2195-268X},
	year = {2013},
	eissn = {2195-2698},
	pages = {330-359}
}

@article{MTMT:24931409,
	title = {Galerkin projections for state-dependent delay differential equations with applications to drilling},
	url = {https://m2.mtmt.hu/api/publication/24931409},
	author = {Nandakumar, K and Wiercigroch, Marian},
	doi = {10.1016/j.apm.2012.04.038},
	journal-iso = {APPL MATH MODEL},
	journal = {APPLIED MATHEMATICAL MODELLING},
	volume = {37},
	unique-id = {24931409},
	issn = {0307-904X},
	year = {2013},
	eissn = {1872-8480},
	pages = {1705-1722}
}

@article{MTMT:24931411,
	title = {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},
	url = {https://m2.mtmt.hu/api/publication/24931411},
	author = {Dai, Hong-Hua and Schnoor, Matt and Atluri, Satya N},
	journal-iso = {CMES-COMP MODEL ENG},
	journal = {CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES},
	volume = {84},
	unique-id = {24931411},
	issn = {1526-1492},
	year = {2012},
	eissn = {1526-1506},
	pages = {459-497}
}

@book{MTMT:1629264,
	title = {Semi-Discretization for Time-Delay Systems. Stability and Engineering Applications},
	url = {https://m2.mtmt.hu/api/publication/1629264},
	isbn = {9781461403340},
	author = {Insperger, Tamás and Stépán, Gábor},
	doi = {10.1007/978-1-4614-0335-7},
	publisher = {Springer London, Ltd},
	unique-id = {1629264},
	abstract = {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.},
	year = {2011},
	orcid-numbers = {Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:1359732,
	title = {Full Characterization of Act-and-wait Control for First-order Unstable Lag Processes},
	url = {https://m2.mtmt.hu/api/publication/1359732},
	author = {Insperger, Tamás and Wahi, P and Colombo, A and Stépán, Gábor and Di Bernardo, M and Hogan, SJ},
	doi = {10.1177/1077546309341135},
	journal-iso = {J VIB CONTROL},
	journal = {JOURNAL OF VIBRATION AND CONTROL},
	volume = {16},
	unique-id = {1359732},
	issn = {1077-5463},
	abstract = {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.},
	year = {2010},
	eissn = {1741-2986},
	pages = {1209-1233},
	orcid-numbers = {Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:23771810,
	title = {Stability of Delay Equations Written as State Space Models},
	url = {https://m2.mtmt.hu/api/publication/23771810},
	author = {Mann, BP and Patel, BR},
	doi = {10.1177/1077546309341111},
	journal-iso = {J VIB CONTROL},
	journal = {JOURNAL OF VIBRATION AND CONTROL},
	volume = {16},
	unique-id = {23771810},
	issn = {1077-5463},
	year = {2010},
	eissn = {1741-2986},
	pages = {1067-1085}
}

@inproceedings{MTMT:24790717,
	title = {A state-space temporal finite element approach for stability investigations of delay equations},
	url = {https://m2.mtmt.hu/api/publication/24790717},
	author = {Khasawneh, Firas A and Mann, Brian P and Patel, Bhavin},
	booktitle = {ASME 2009 Conference on Smart Materials, Adaptive Structures and Intelligent Systems},
	doi = {10.1115/SMASIS2009-1263},
	unique-id = {24790717},
	year = {2009},
	pages = {415-423}
}

@{MTMT:25269223,
	title = {Center manifold analysis of the delayed Liénard equation},
	url = {https://m2.mtmt.hu/api/publication/25269223},
	author = {Zhao, Siming and Kalmár-Nagy, Tamás},
	booktitle = {Delay Differential Equations},
	publisher = {Springer Netherlands},
	unique-id = {25269223},
	year = {2009},
	pages = {1-17}
}