On dynamics analysis of a new symmetrical five-term chaotic attractor

In this paper, a new symmetrical five terms chaotic system is discussed. In comparison with those of existing six-term or seven-term chaotic attractors, the new attractor is simpler and fewer terms. Some basic dynamical properties of the new attractor, such as equilibria, Lyapunov exponents, Poincar...

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Bibliographic Details
Main Authors: Xu, Yuhua, Zhou, Wuneng, Fang, Jianan
Format: Conference Proceeding
Language:English
Subjects:
Bifurcation
Chaotic communication
Compound Structure
Control systems
Eigenvalues and eigenfunctions
Five-term Chaotic Attractor
Limit-cycles
Lyapunov Exponents
Mathematical model
Poincare Map
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Summary:In this paper, a new symmetrical five terms chaotic system is discussed. In comparison with those of existing six-term or seven-term chaotic attractors, the new attractor is simpler and fewer terms. Some basic dynamical properties of the new attractor, such as equilibria, Lyapunov exponents, Poincare map, fractal dimension, bifurcation diagram and continuous spectrum are studied, and the forming mechanism of its compound structure obtained by merging together two simple attractors after performing one mirror operation is also investigated. One of particular interest is the fact that this new non-generalized Lorenz chaotic system has abundant bifurcation.
ISSN:1934-1768
2161-2927