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 AJCM  Vol.6 No.1 , March 2016
Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System
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.
Cite this paper: Li, Y. , Yang, J. and Rao, F. (2016) Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System. American Journal of Computational Mathematics, 6, 23-31. doi: 10.4236/ajcm.2016.61003.
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