Intelligent Information Management

Volume 2, Issue 2 (February 2010)

ISSN Print: 2160-5912   ISSN Online: 2160-5920

Google-based Impact Factor: 1.6  Citations  

Theoretic and Numerical Study of a New Chaotic System

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DOI: 10.4236/iim.2010.22013    4,448 Downloads   8,772 Views  Citations
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ABSTRACT

This paper introduced a new three-dimensional continuous quadratic autonomous chaotic system, modified from the Lorenz system, in which each equation contains a single quadratic cross-product term, which is different from the Lorenz system and other existing systems. Basic properties of the new system are analyzed by means of Lyapunov exponent spectrum, Poincaré mapping, fractal dimension, power spectrum and chaotic behaviors. Furthermore, the forming mechanism of its compound structure obtained by merging together two simple attractors after performing one mirror operation has been investigated by detailed nu-merical as well as theoretical analysis. Analysis results show that this system has complex dynamics with some interesting characteristics.

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Zhu, C. , Liu, Y. and Guo, Y. (2010) Theoretic and Numerical Study of a New Chaotic System. Intelligent Information Management, 2, 104-109. doi: 10.4236/iim.2010.22013.

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