NDLI: Z $_{ n }$ equivariant in delay coupled dissipative Stuart

Content Provider	Springer Nature Link
Author	Zhang, Chunrui Zheng, Baodong
Copyright Year	2012
Abstract	We consider a coupled dissipative Stuart–Landau oscillator models. As the propagation time delay in the coupling varies, stability switches for the trivial solution are found. We discuss the spatio-temporal patterns of bifurcating periodic oscillations by using the symmetric bifurcation theory of delay differential equations combined with representation theory of Lie groups. The existence of multiple branches of bifurcating periodic solution is obtained. We also found that the spatio-temporal patterns of bifurcating periodic oscillations alternate according to the change of the propagation time delay in the coupling, i.e., different ranges of delays correspond to different patterns of dissipative Stuart–Landau oscillators. Some numerical simulations support our analysis results.
Starting Page	2359
Ending Page	2366
Page Count	8
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	70
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-10-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coupled Stuart–Landau oscillator Symmetry delay Stability Hopf bifurcation Periodic solutions Mechanics Vibration, Dynamical Systems, Control Automotive Engineering Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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