Chaos in the fractional order periodically forced complex Duffing's oscillators
Chaos in the fractional order periodically forced complex Duffing's oscillators
复制标题
DOI：
10.1016/j.chaos.2004.09.090
复制
发表时间：
2005-05-01
影响因子：
7.8
通讯作者：
Yu, JB
中科院分区：
文献类型：
--
作者：
Gao, X;Yu, JB
在过去的十年里，分数阶混沌动力学在大量物理性质的真实动力系统中得到了广泛的研究。然而，对于复数域中的分数阶混沌动力系统还没有开展类似的研究。本文数值研究了分数阶对称和非对称周期强迫复Duffing振子的混沌行为。我们发现分数阶周期受迫的复Duffing振子在阶数小于4的情况下存在混沌行为。我们的结果被正的最大Lyapunov指数的存在所验证。(C)2004爱思唯尔有限公司。保留所有权利。
The occurrence of fractional-order chaotic dynamics have been intensively studied over the last ten years in a large number of real dynamical systems of physical nature. However, a similar study has not yet been carried out for fractional-order chaotic dynamical systems in the complex domain. In this paper, we numerically study the chaotic behaviors in the fractional-order symmetric and non-symmetric periodically forced complex Duffing's oscillators. We find that chaotic behaviors exist in the fractional-order periodically forced complex Duffing's oscillators with orders less than 4. Our results are validated by the existence of positive maximal Lyapunov exponent. (C) 2004 Elsevier Ltd. All rights reserved.