Coexisting attractors in a memcapacitor-based chaotic oscillator

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• 作者：Fang Yuan ; Guangyi Wang ; Yiran Shen ; Xiaoyuan Wang
• 关键词：Chaos ; Chaotic oscillation ; Memcapacitor ; Coexisting attractors
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：86
• 期：1
• 页码：37-50
• 全文大小：3,822 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：86

文摘

In this paper, a smooth curve model of memcapacitor and its equivalent circuit are designed. Based on this memcapacitor, a novel memcapacitive chaotic circuit is presented. Dynamical behaviors of the circuit with various parameters are investigated both theoretically and experimentally. The numerical results indicate that the circuit displays complex nonlinear properties including coexisting and symmetrical bifurcations. The main characteristic of this memcapacitive chaotic circuit is the various coexisting attractors. Different kinds of coexisting attractors and their corresponding conditions are given. The equilibrium set, Lyapunov exponent spectrum and the basin of attraction are also analyzed. Besides, experimental results are given to confirm the correction of the numerical simulations.