Highly Complex Chaotic System with Piecewise Linear Nonlinearity and Compound Structures

被引：7

作者：

San-Um, Wimol ^{[1
]}

Srisuchinwong, Banlue ^{[2
]}

机构：

[1] Thai Nichi Inst Technol, Fac Engn, Bangkok, Thailand

[2] Thammasat Univ, Sirindhorn Int Inst Technol, Pathum Thani, Thailand

来源：

JOURNAL OF COMPUTERS | 2012年 / 7卷 / 04期

关键词：

chaos; high-complexity; high-chaoticity; two-scroll attractor; piecewise-linear; compound structure;

D O I：

10.4304/jcp.7.4.1041-1047

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new chaotic system is presented using a single parameter for a two-scroll attractor with high complexity, high chaoticity and widely chaotic range. The system employs two quadratic nonlinearities and two piecewiselinear nonlinearities. The high chaoticity is measured by the the maximum Lyapunov Exponent of 0.429 and the high complexity is measured by the Kaplan-Yorke dimension of 2.3004. Dynamic properties are described in terms of symmetry, a dissipative system, an existence of attractor, equilibria, Jacobian matrices, bifurcations, Poincaroe maps, chaotic waveforms, chaotic spectrum, and forming mechanisms of compound structures.

引用

页码：1041 / 1047

页数：7

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