Double Hopf Bifurcation with Strong Resonances in Delayed Systems with Nonlinerities
An efficient method is proposed to study delay-induced strong resonant double Hopf bifurcation for nonlinear systems with time delay. As an illustration, the proposed method is employed to investigate the 1 : 2 double Hopf bifurcation in the van der Pol system with time delay. Dynamics arising from...
Main Authors: | J. Xu, K. W. Chung |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2009-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2009/759363 |
Similar Items
-
Double Hopf bifurcation in delay differential equations
by: Redouane Qesmi, et al.
Published: (2014-07-01) -
Double Hopf bifurcation of a diffusive predator–prey system with strong Allee effect and two delays
by: Yuying Liu, et al.
Published: (2021-01-01) -
Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling
by: Jinbin Wang, et al.
Published: (2020-01-01) -
Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web
by: Huayong Zhang, et al.
Published: (2018-01-01) -
Weakly resonant double Hopf bifurcation in coupled nonlinear systems with delayed freedback and application of homotopy analysis method
by: Youhua Qian, et al.
Published: (2019-12-01)