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MODIFIED GENERALIZED LORENZ SYSTEM AND FOLDED CHAOTIC ATTRACTORS

Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, P. R. China

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ZHONG LIU

Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

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, and

JUEBANG YU

School of Electronic Engineering, University of Electronics Science and Technology of China, Chengdu 610054, P. R. China

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https://doi.org/10.1142/S0218127409024323Cited by:5 (Source: Crossref)

Abstract

A modified generalized Lorenz system in a canonical form extended from the generalized Lorenz system is proposed in this paper. This novel system has a folded factor and can display complex 2-scroll folded attractors and 1-scroll folded attractors at different parameter values. Three typical normal forms, called Lorenz-like, Chen-like and Lü-like chaotic system respectively, of three-dimensional quadratic autonomous chaotic systems are derived, and their dynamical behaviors are further investigated by employing Lyapunov exponent spectrum, bifurcation diagram, Poincaré mapping and phase portrait, etc. Of particular interest is the fact that the folded factor makes Chen-like and Lü-like chaotic systems exhibit complicated nonlinear dynamical phenomena.

Keywords:

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