TY  - CHAP
AU  - Kalmár-Nagy, Tamás
TI  - A novel method for efficient numerical stability analysis of delay-differential equations
T2  - ACC: Proceedings of the 2005 American Control Conference, Vols 1-7
PB  - IEEE
CY  - New York, New York
CY  - Piscataway (NJ)
SN  - 0780390989
T3  - Proceedings of the American Control Conference, ISSN 0743-1619
PY  - 2005
SP  - 2823
EP  - 2826
PG  - 4
DO  - 10.1109/ACC.2005.1470397
UR  - https://m2.mtmt.hu/api/publication/2836277
ID  - 2836277
N1  - American Automatic Control Council, AACC; International Federation of Automatic Control, IFAC            
Conference code: 65483            
CODEN: PRACE
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Insperger, Tamás
AU  - Stépán, Gábor
TI  - Semi-discretization method for delayed systems
JF  - INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
J2  - INT J NUMER METH ENG
VL  - 55
PY  - 2002
IS  - 5
SP  - 503
EP  - 518
PG  - 16
SN  - 0029-5981
DO  - 10.1002/nme.505
UR  - https://m2.mtmt.hu/api/publication/1148732
ID  - 1148732
N1  - Export Date: 29 November 2019            
            CODEN: IJNMB
AB  - The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high-dimensional linear discrete system. The method is applied to determine the
stability charts of the Mathieu equation with continuous time delay. Copyright (C) 2002 John Wiley Sons, Ltd.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kalmár-Nagy, Tamás
AU  - Stépán, Gábor
AU  - Moon, FC
TI  - Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 26
PY  - 2001
IS  - 2
SP  - 121
EP  - 142
PG  - 22
SN  - 0924-090X
DO  - 10.1023/A:1012990608060
UR  - https://m2.mtmt.hu/api/publication/106051
ID  - 106051
N1  - Export Date: 29 November 2019            
            CODEN: NODYE
AB  - We show the existence of a subcritical Hopf bifurcation in the delay-differential equation model of the so-called regenerative machine tool vibration. The calculation is based on the reduction of the infinite-dimensional problem to a two-dimensional center manifold. Due to the special algebraic structure of the delayed terms in the nonlinear part of the equation, the computation results in simple analytical formulas. Numerical simulations gave excellent agreement with the results.
LA  - English
DB  - MTMT
ER  - 

TY  - BOOK
AU  - Stépán, Gábor
TI  - Retarded Dynamical Systems. Stability and Characteristic Functions
TS  - Stability and Characteristic Functions
T3  - Pitman Research Notes in Mathematics Series ; 210.
ET  - 0
PB  - Longman Scientific and Technical
CY  - Harlow
PY  - 1989
SP  - 151
SN  - 0470213353
UR  - https://m2.mtmt.hu/api/publication/1002286
ID  - 1002286
N1  - co-published: Wiley, New York
LA  - English
DB  - MTMT
ER  -