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Nonlinear dynamics analysis of a new autonomous chaotic system. (English) Zbl 1128.37023

Summary: A new nonlinear autonomous system introduced by K. Chlouverakis and J. C. Sprott [Physica D 200, No. 1–2, 156–164 (2005; Zbl 1063.37023)] is studied further, to present very rich and complex nonlinear dynamical behaviors. Some basic dynamical properties are studied either analytically or numerically, such as Poincaré map, Lyapunov exponents and Lyapunov dimension. Based on this flow, a new almost-Hamilton chaotic system with very high Lyapunov dimensions is constructed and investigated. Two new nonlinear autonomous systems can be changed into one another by adding or omitting some constant coefficients.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C45 Dimension theory of smooth dynamical systems

Citations:

Zbl 1063.37023
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References:

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