Constructing hyperchaotic systems at will

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

21 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)2039-2056
Journal / PublicationInternational Journal of Circuit Theory and Applications
Volume43
Issue number12
Online published12 Feb 2015
Publication statusPublished - Dec 2015

Abstract

Over the last two decades, chaotification has received increasing attention from various communities of science and engineering. This paper aims at developing a unified chaotification framework for generating desired higher-dimensional dissipative hyperchaotic systems by using a single-parameter controller. The main idea is to use a block diagonal matrix in the design of the nominal system, so as to construct a desired hyperchaotic system. Specifically, the proposed scheme is to assign desired closed-loop poles to the controlled system, allocating the corresponding numbers of eigenvalues with positive real parts at two types of saddle-focus equilibria. For the non-degenerate case, the number of positive Lyapunov exponents of the controlled system is given by the largest number of positive Lyapunov exponents of the desired hyperchaotic system. Two representative examples are given to illustrate and verify the proposed design method. Finally, the digital signal processor is employed to implement the above 10-dimensional hyperchaotic systems, and the experimental observation is also given.

Research Area(s)

  • chaotification, closed-loop poles assignment, DSP realization, hyperchaotic system, Lyapunov exponents allocation

Citation Format(s)

Constructing hyperchaotic systems at will. / Shen, Chaowen; Yu, Simin; Lü, Jinhu; Chen, Guanrong.

In: International Journal of Circuit Theory and Applications, Vol. 43, No. 12, 12.2015, p. 2039-2056.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review