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Qi, Guoyuan; Du, Shengzhi; Chen, Guanrong; Chen, Zengqiang; Yuan, Zhuzhi

On a four-dimensional chaotic system. (English) Zbl 1071.37025

Chaos Solitons Fractals 23, No. 5, 1671-1682 (2005).
Summary: This paper reports a new four-dimensional continuous autonomous chaotic system, in which each equation in the system contains a 3-term cross product. Basic properties of the system are analyzed by means of Lyapunov exponents and bifurcation diagrams.

Cited in 39 Documents

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C28 Complex behavior and chaotic systems of ordinary differential equations

Keywords:

cross-product nonlinearities; complex chaotic attractors; chaotic system; Lyapunov exponents; bifurcation diagrams
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\textit{G. Qi} et al., Chaos Solitons Fractals 23, No. 5, 1671--1682 (2005; Zbl 1071.37025)
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