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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Official URL: https://doi.org/10.4236/ajcm.2016.61003
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 |
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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 |