Results 221 to 230 of about 6,991 (255)

Generalized projective synchronization for the chaotic Lorenz system and the chaotic Chen system

Journal of Shanghai University (English Edition), 2006
Two systems are said to have the ``projective synchronization'' if their state variables \(x\in \mathbb{R}^n\) and \(y \in \mathbb{R}^n\) satisfy asymptotically \(\| x(t)-\alpha y(t)\| \to 0\) for \(t\to \infty\) and all initial conditions with some scalar \(\alpha\).
Yan, Jianping, Li, Changpin
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A numeric–analytic method for approximating the chaotic Chen system

Chaos, Solitons & Fractals, 2009
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Al-Sawalha, M. Mossa, Noorani, M. S. M.
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New Chaotic Regimes in the Lorenz and Chen Systems

International Journal of Bifurcation and Chaos, 2015
It 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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Synchronization of bidirectionally coupled chaotic Chen’s system with delay

Chaos, Solitons & Fractals, 2009
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Tarai (Poria), Anindita, Poria, Swarup, Chatterjee, Prasanta   +2 more
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The optimal control of Chen chaotic dynamical system

Applied Mathematics and Computation, 2002
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Chaos control of Chen chaotic dynamical system

Chaos, Solitons & Fractals, 2003
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Adaptive synchronization of Rossler and Chen chaotic systems

Chinese Physics, 2002
A novel adaptive synchronization method is proposed for two identical Rossler and Chen systems with uncertain parameters. Based on Lyapunov stability theory, we derive an adaptive controller without the knowledge of the system parameters, which can make the states of two identical Rossler and Chen systems globally asymptotically synchronized ...
Li Zhi, Han Chong-Zhao
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Alternative implementation of the chaotic Chen–Lee system

Chaos, Solitons & Fractals, 2009
Abstract The chaotic Chen–Lee system was developed with a formalism based on the Euler equations for the motion of a rigid body. It was proved that this system is the governing set of equations for gyro motion with feedback control. Recently, studies were conducted to explore the dynamic behavior of this system, including fractional order behavior ...
Long-Jye Sheu, Lap-Mou Tam, Hsien-Keng Chen, Seng-Kin Lao   +3 more
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Feedback Synchronization of Uncertain Chen Chaotic System

Advanced Materials Research, 2011
In this paper, chaos synchronization is studied. Two schemes are proposed to synchronizing Chen chaotic system with all the system parameters unknown. Especially in the last two schemes, only one state variable is contained in the controller. Also, numerical simulations are given to illustrate the effectiveness of the methods.
Dong Xiao Wang, Bei Xing Mao
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On Impulsive Stabilization of Chen’s Chaotic System

Computational Mathematics and Mathematical Physics
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