Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System

Li, Yanqiu and Yang, Jihua and Rao, Feng (2016) Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System. American Journal of Computational Mathematics, 06 (01). pp. 23-31. ISSN 2161-1203

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Abstract

The dynamics of a unidirectional nonlinear delayed-coupling chaos system is investigated. Based on the local Hopf bifurcation at the zero equilibrium, we prove the global existence of periodic solutions using a global Hopf bifurcation result due to Wu and a Bendixson’s criterion for higher dimensional ordinary differential equations due to Li & Muldowney.

Item Type: Article
Subjects: Pustakas > Mathematical Science
Depositing User: Unnamed user with email support@pustakas.com
Date Deposited: 16 Jun 2023 09:20
Last Modified: 12 Jan 2024 07:34
URI: http://archive.pcbmb.org/id/eprint/777

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