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Global Existence of Periodic Solutions in a Nonlinear Delay-coupling Chaos System
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.
Unidirectional Delayed-Coupling, Chaos System, Hopf Bifurcation, Periodic Solution.
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