A new hyperchaotic system and its synchronization

A new hyperchaotic system and its synchronization
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一种新的超混沌系统及其同步

DOI:
10.1016/j.amc.2009.09.060
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发表时间:
2010
影响因子:
4
通讯作者:
Zheng, Song
Zheng, Song
中科院分区:
数学2区
文献类型:
--
作者:
Bi, Qinsheng;Dong, Gaogao;Zheng, Song

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本文介绍并分析了一个四维连续自治超混沌系统。该超混沌系统是通过在三维自治混沌系统中加入一个具有反向蝴蝶形状吸引子的线性控制器来构建的。研究了它的一些基本动力学性质,如Lyapunov指数、Poincare截面、分岔图以及周期轨道随参数d的变化演化为混沌和超混沌的动力学行为。在此基础上,利用自适应控制方法研究了包含非线性项未知系数的未知参数超混沌系统的全状态混合投影同步问题。通过数值仿真验证了混沌同步方案的有效性。
In this paper, a four-dimensional (4D) continuous autonomous hyperchaotic system is introduced and analyzed. This hyperchaotic system is constructed by adding a linear controller to the 3D autonomous chaotic system with a reverse butterfly-shape attractor. Some of its basic dynamical properties, such as Lyapunov exponents, Poincare section, bifurcation diagram and the periodic orbits evolving into chaotic, hyperchaotic dynamical behavior by varying parameter d are studied. Furthermore, the full state hybrid projective synchronization (FSHPS) of new hyperchaotic system with unknown parameters including the unknown coefficients of nonlinear terms is studied by using adaptive control. Numerical simulations are presented to show the effective of the proposed chaos synchronization scheme.
DOI: 10.1002/cta.213
发表时间: 2002-11
影响因子: 2.3
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