A note on the fractional-order Chua’s system
A note on the fractional-order Chua’s system
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DOI：
10.1016/j.chaos.2006.10.054
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发表时间：
2008-10
影响因子：
7.8
通讯作者：
I. Petráš
中科院分区：
文献类型：
--
作者：
I. Petráš
本文研究分数阶蔡氏系统。它基于著名的蔡氏振子概念，其中蔡氏系统的数学模型由分数阶导数组成。给出了这类分数阶模型的推导方法。提出了一个总阶数小于3的分数阶蔡氏系统，该系统具有混沌和其它非线性行为。数值实验和真实的测量结果验证了理论分析的正确性。
This paper deals with fractional-order Chua’s system. It is based on the well-known concept of the Chua’s oscillator, where mathematical model of the Chua’s system consists the fractional-order derivatives. We present the method to derive such kind of the fractional-order model. The fractional-order Chua’s system with a total order less than three, which exhibits chaos as well as other nonlinear behavior, is presented. Numerical experimental example and real measurement are shown to verify the theoretical results.