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Harjani, J., Rocha, J. and Sadarangani, K. (2015) Existence and Uniqueness of Solutions for a Class of Fractional Differential Coupled System with Integral Boundary Conditions. Applied Mathematics & Information Sciences, 9, 401-405.

has been cited by the following article:

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

  AUTHORS: Yanqiu Li, Jihua Yang, Feng Rao

  KEYWORDS: Unidirectional Delayed-Coupling, Chaos System, Hopf Bifurcation, Periodic Solution

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.1, March 21, 2016

  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.