A hyperchaos generated from Lorenz system

A hyperchaos generated from Lorenz system
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DOI:
10.1016/j.physa.2008.02.020
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发表时间:
2008-06-01
影响因子:
3.3
通讯作者:
Wang, Mingjun
Wang, Mingjun
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang, Xingyuan;Wang, Mingjun

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提出了一种四维超混沌Lorenz系统,通过在Lorenz混沌系统中加入非线性控制器得到。利用分岔图、李雅普诺夫指数谱和相图研究了超混沌Lorenz系统。数值模拟表明,当参数变化时,新系统的行为可以是收敛、发散、周期、混沌和超混沌。(C)2008 Elsevier B.V.保留所有权利。
This paper presents a four-dimension hyperchaotic Lorenz system, obtained by adding a nonlinear controller to Lorenz chaotic system. The hyperchaotic Lorenz system is studied by bifurcation diagram, Lyapunov exponents spectrum and phase diagram. Numerical simulations show that the new system's behavior can be convergent, divergent, periodic, chaotic and hyperchaotic when the parameter varies. (C) 2008 Elsevier B.V. All rights reserved.