Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua’s circuit

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• 作者：Mo Chen ; Mengyuan Li ; Qing Yu ; Bocheng Bao ; Quan Xu ; Jiang Wang
• 关键词：Generalized memristor ; based Chua’s circuit ; Coexisting bifurcation mode ; Hidden attractor ; Self ; excited attractor
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：81
• 期：1-2
• 页码：215-226
• 全文大小：3,486 KB
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• 作者单位：Mo Chen (1)
  Mengyuan Li (1)
  Qing Yu (1)
  Bocheng Bao (1)
  Quan Xu (1)
  Jiang Wang (1)
  
  1. School of Information Science and Engineering, Changzhou University, Changzhou, 213164, China
  
• 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

文摘

A novel memristive chaotic circuit is presented, which is derived from the classical Chua’s circuit by substituting Chua’s diode with a first-order memristive diode bridge. The dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. The research results indicate that this circuit has three determined equilibrium points and displays complex nonlinear phenomena including coexisting bifurcation modes and coexisting attractors. Specifically, with another parameter setting, the memristive Chua’s circuit can generate hidden attractors and coexisting hidden attractors in a narrow parameter region. The phenomena of self-excited attractors and hidden attractors are experimentally captured from a physical circuit, which verify the numerical simulations.