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**A new chaotic attractor.**
*(English)*
Zbl 1060.37027

Summary: A new chaotic system is discussed. Some basic dynamical properties, such as Lyapunov exponents, Poincaré mapping, fractal dimension, continuous spectrum and chaotic behaviors of this new butterfly attractor are studied. Furthermore, the forming mechanism of its compound structure obtained by merging together two simple attractors after performing one mirror operation is investigated by detailed numerical as well as theoretical analysis.

### MSC:

37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |

34C28 | Complex behavior and chaotic systems of ordinary differential equations |

### Keywords:

chaotic system; Lyapunov exponents; Poincaré mapping; fractal dimension; continuous spectrum; butterfly attractor
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\textit{C. Liu} et al., Chaos Solitons Fractals 22, No. 5, 1031--1038 (2004; Zbl 1060.37027)

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### References:

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[6] | Zhong, G. Q.; Tang, W. K.S., Circuitry implementation and synchronization of Chen’s attractor, Int. J. Bifurcat. Chaos, 12, 6, 1423-1427 (2002) |

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