Article citationsMore>>

Belhaq, M. and Houssni, M. (2000) Suppression of Chaos in Averaged Oscillator Driven by External and Parametric Excitations. Chaos Solitons Fractals, 11, 1237-1246.
http://dx.doi.org/10.1016/S0960-0779(98)00334-8

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.