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A Chaotic Attractor in Delayed Memristive System

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  • Lidan Wang
  • Shukai Duan

Abstract

Over the last three decades, theoretical design and circuitry implementation of various chaotic generators by simple electronic circuits have been a key subject of nonlinear science. In 2008, the successful development of memristor brings new activity for this research. Memristor is a new nanometre‐scale passive circuit element, which possesses memory and nonlinear characteristics. This makes it have a unique charm to attract many researchers’ interests. In this paper, memristor, for the first time, is introduced in a delayed system to design a signal generator to produce chaotic behaviour. By replacing the nonlinear function with memristors in parallel, the memristor oscillator exhibits a chaotic attractor. The simulated results demonstrate that the performance is well predicted by the mathematical analysis and supports the viability of the design.

Suggested Citation

  • Lidan Wang & Shukai Duan, 2012. "A Chaotic Attractor in Delayed Memristive System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:726927
    DOI: 10.1155/2012/726927
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    References listed on IDEAS

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    1. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2009. "Erratum: The missing memristor found," Nature, Nature, vol. 459(7250), pages 1154-1154, June.
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    Cited by:

    1. Rui Wang & Mingjin Li & Zhaoling Gao & Hui Sun, 2018. "A New Memristor-Based 5D Chaotic System and Circuit Implementation," Complexity, Hindawi, vol. 2018, pages 1-12, December.
    2. Lidan Wang & Xiaoyan Fang & Shukai Duan & Xiaofeng Liao, 2013. "PID Controller Based on Memristive CMAC Network," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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