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The investigation of bifurcations of a Chen’s system is the main aim of this paper. Especially we focus on Hopf bifurcation and after obtaining the Hopf bifurcation point in terms of system parameters, the normal form of this bifurcation is obtained by using an effective method called the multiple scales method. The obtained results are also confirmed numerically.

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Detection of the Bifurcation of Chen’s Chaotic Attractor

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  • 发表日期：

    2025年

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  • Gizem S. Oztepe

摘要

The investigation of bifurcations of a Chen’s system is the main aim of this paper. Especially we focus on Hopf bifurcation and after obtaining the Hopf bifurcation point in terms of system parameters, the normal form of this bifurcation is obtained by using an effective method called the multiple scales method. The obtained results are also confirmed numerically.