一种新型分数阶混沌系统的电路实现与分岔

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP) Pub Date : 2015-11-01 DOI:10.1109/ICICIP.2015.7388151

Wendi Huang, Yixiao Ge, F. Min, Enrong Wang

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引用次数: 2

摘要

根据分数阶微积分和频域近似方法，首先给出了α=0.80 ~ 0.99、阶跃为0.01的分数阶1/sα的三种电子单元电路，给出了相应的电阻值和电容值。本文将这些电子单元电路应用于一种新型的四维分数阶混沌系统，研究了该系统的动力学行为。实验结果验证了等效电路的有效性。

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Circuit implementations and bifurcations of a novel fractional-order chaotic system

According to the fractional order calculus and frequency-domain approximation method, three types of electronic unit circuits of the fractional-order 1/sα with α=0.80-0.99 in steps of 0.01 are first given, the corresponding values of resistance and capacitance are presented. These electronic unit circuits are applied to a novel fourth dimensional fractional-order chaotic system where the dynamical behaviors are investigated in this paper. The experimental results verified the effectiveness of the equivalent circuits.

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来源期刊

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)

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