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Analysis and Synchronization of the Chen System with Fractional Derivative
International Journal of Bifurcation and ChaosIn this paper, we study the dynamic behaviors and chaos synchronization of the Chen system described by Caputo–Hadamard fractional derivative. First, the existence and uniqueness of a solution to the Chen system with Caputo–Hadamard derivative are proved by qualitative analysis. Further, the stability of equilibria of the considered system is analyzed
Chuntao Yin +3 more
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Modification for synchronization of Rossler and Chen chaotic systems
Physics Letters A, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhi, Han, Chongzhao, Shi, Songjiao
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Dynamical analysis for the compound structure of chen's system
ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004., 2005Dynamical analysis and more detailed numerical analysis for understanding the compound structure of Chen's attractor are proposed in this paper. Routes to chaos and bifurcation of the Chen's system under a constant controller are demonstrated with numerical experiments. The systematic analysis method can also be applied to investigate chaotic attractor'
Jie Liu 0078, Junan Lu, Xiaoqun Wu
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Chaos synchronization of the fractional-order Chen’s system
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Hao, Zhou, Shangbo, He, Zhongshi
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On Impulsive Stabilization of Chen’s Chaotic System
Computational Mathematics and Mathematical PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Chaotic Regimes in the Lorenz and Chen Systems
International Journal of Bifurcation and Chaos, 2015It has recently been shown that the Chen system with c > 0 is identical to the reversed-time Lorenz system with particular negative parameters and that the Chen system with c < 0 is identical to the forward-time Lorenz system with particular negative parameters.
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The optimal control of Chen chaotic dynamical system
Applied Mathematics and Computation, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Chaos control of Chen chaotic dynamical system
Chaos, Solitons & Fractals, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Controlling hyperchaos in the new hyperchaotic Chen system
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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