Theoretic and Numerical Study of a New Chaotic System
نویسندگان
چکیده
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 numerical as well as theoretical analysis. Analysis results show that this system has complex dynamics with some interesting characteristics.
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عنوان ژورنال:
- Intelligent Information Management
دوره 2 شماره
صفحات -
تاریخ انتشار 2010