Analysis of a new chaotic system

Qi, Guoyuan; Chen, Guanrong; Du, Shengzhi; Chen, Zengqiang; Yuan, Zhen

doi:10.1016/j.physa.2004.12.040

Cited by 272 publications

(112 citation statements)

References 9 publications

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“…Liu formulated a new three-dimensional chaotic system with five parameters [4]. Qi proposed a new chaotic system with five equilibria [5]. The study of chaos generation has attracted a great deal of attention.…”

Section: Introductionmentioning

confidence: 99%

Analysis and adaptive synchronization for a new chaotic system

2012

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In this paper, a new three-dimensional autonomous chaotic system is presented. There are three control parameters and three different nonlinear terms in the governed equations.The new chaotic system has six equilibrium points. Basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. The nonlinear characteristic of the new chaotic system are demonstrated in terms of equilibria, Jacobian matrices, Lyapunov exponents, a dissipative system, Poincaré maps and bifurcations. Then, an adaptive control law is derived to make the states of two identical chaotic systems asymptotically synchronized based on the Lyapunov stability theory. Finally, a numerical simulation is presented to verify the effectiveness of the proposed synchronization scheme.

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Section: Introductionmentioning

confidence: 99%

Analysis and adaptive synchronization for a new chaotic system

2012

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“…This paper is organized as follows. In Section 2, we give a description of the Qi-Chen chaotic system (Qi, Chen, Du, Chen and Yuan, [29], 2005). In Section 3, we derive results for the adaptive control of Qi-Chen chaotic system with unknown parameters.…”

Section: Introductionmentioning

confidence: 99%

On an Optimization Technique Using Binary Decision Diagram

Sensarma¹

2012

IJCSEA

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“…Several researchers have defined and studied quadratic 3-D chaotic systems as described in the references. The generalized Lorenz-like canonical form introduced in [6][7][8][9][10][11] gives a unique and unified classification for a large class of 3-D quadratic chaotic systems. This system contains all the well known quadratic systems given in [1-3-4-5-6].…”

Section: Introductionmentioning

confidence: 99%