非相称分数阶多涡旋PWL混沌系统的电路合成

2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST) Pub Date : 2017-05-01 DOI:10.1109/MOCAST.2017.7937651

E. Zambrano-Serrano, J. Muñoz-Pacheco, E. Campos-Cantón

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引用次数: 5

摘要

介绍了一种分数阶分段线性(PWL)系统的分析、设计和电路合成。通过选取不相称分数阶的动力系统，观察了多涡旋混沌吸引子。得到的分数阶PWL混沌系统满足分数阶微积分的稳定性定理。李雅普诺夫指数证实了混沌行为。此外，还考虑了电压运算放大器，实现了电路合成。SPICE电路仿真与理论结果一致。

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Circuit synthesis of an incommensurate fractional order multi-scroll PWL chaotic system

The analysis, design and circuit synthesis of a fractional order piecewise linear (PWL) system is presented in this paper. By selecting incommensurate fractional orders for the dynamical system, multi-scroll chaotic attractors are observed. The resulting fractional order PWL chaotic system satisfies the stability theorem of fractional calculus. Lyapunov exponents confirm the chaotic behavior. Moreover, a circuit synthesis is realized by considering voltage operational amplifiers. SPICE circuit simulations agree with the theoretical results.

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2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST)

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