2011College MathematicsRequires access

Stability and Global Hopf Bifurcation for a Cooperative System with Two Delays

Lianglong Wang

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Abstract

This paper consider the stability and local Hopf bifurcation for a cooperative system when rate τ regarding as a parameter,combing the global Hopf bifurcation theorem for general functional differential equations,and we investigate the existence of global Hopf bifurcation.

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What this paper is about

This paper consider the stability and local Hopf bifurcation for a cooperative system when rate τ regarding as a parameter,combing the global Hopf bifurcation theorem for general functional differential equations,and we investigate the existence of global Hopf bifurcation.

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Available abstract

This paper consider the stability and local Hopf bifurcation for a cooperative system when rate τ regarding as a parameter,combing the global Hopf bifurcation theorem for general functional differential equations,and we investigate the existence of global Hopf bifurcation.

Key concepts: Hopf bifurcation, Mathematics, Pitchfork bifurcation, Saddle-node bifurcation, Transcritical bifurcation, Biological applications of bifurcation theory, Bifurcation diagram, Bogdanov–Takens bifurcation

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