TY - GEN
T1 - An energy analysis of amplitude death of a pair of oscillators with delayed coupling
AU - Wang, Zaihua
AU - Hu, Haiyan
PY - 2005
Y1 - 2005
N2 - This paper presents an energy analysis of the amplitude death, a phenomenon that the individual oscillators cease to oscillate when coupled and go to an equilibrium motion instead, of a pair of coupled oscillators with time delay that are slightly perturbed from two undamped oscillators and with delayed coupling. The energy analysis reveals that amplitude death, as well as the stability of the phase-locked periodic solutions, can be justified by the sign of the averaged total powers along a special function with harmonic entries, rather than along arbitrary solution of the coupled oscillators as in the application of the method of Lyapunov's function for stability analysis. An illustrative example is given to show the effectiveness of the present method.
AB - This paper presents an energy analysis of the amplitude death, a phenomenon that the individual oscillators cease to oscillate when coupled and go to an equilibrium motion instead, of a pair of coupled oscillators with time delay that are slightly perturbed from two undamped oscillators and with delayed coupling. The energy analysis reveals that amplitude death, as well as the stability of the phase-locked periodic solutions, can be justified by the sign of the averaged total powers along a special function with harmonic entries, rather than along arbitrary solution of the coupled oscillators as in the application of the method of Lyapunov's function for stability analysis. An illustrative example is given to show the effectiveness of the present method.
UR - http://www.scopus.com/inward/record.url?scp=33244475819&partnerID=8YFLogxK
U2 - 10.1115/detc2005-84437
DO - 10.1115/detc2005-84437
M3 - Conference contribution
AN - SCOPUS:33244475819
SN - 0791847438
SN - 9780791847435
T3 - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
SP - 765
EP - 771
BT - Proc. of the ASME Int. Des. Eng. Tech. Conf. and Comput. and Information in Engineering Conferences - DETC2005
PB - American Society of Mechanical Engineers
T2 - DETC2005: ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Y2 - 24 September 2005 through 28 September 2005
ER -