4.7 Article

Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization

Journal

NONLINEAR DYNAMICS
Volume 94, Issue 4, Pages 2879-2887

Publisher

SPRINGER
DOI: 10.1007/s11071-018-4531-4

Keywords

Autonomous memristor system; Chaotic attractor; Memristor chaotic system

Funding

  1. State Key Program of National Natural Science of China [61632002]
  2. National Key R and D Program of China [2017YFE0103900]
  3. National Natural Science of China [61603348, 61775198, 61603347, 61572446, 61472372]
  4. Science and Technology Innovation Talents Henan Province [174200510012]
  5. Research Program of Henan Province [172102210066, 17A120005, 182102210160]
  6. Youth Talent Lifting Project of Henan Province
  7. Science Foundation of for Doctorate Research of Zhengzhou University of Light Industry [2014BSJJ044]

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Memristor chaotic system has been attracted by many researchers because of the rich dynamical behaviors. However, some existed memristor chaotic systems have finite numbers of chaotic attractors. In this paper, a simple, effective method is given for designing the autonomous memristor chaotic systems of infinite chaotic attractors. Autonomous memristor chaotic systems are proposed from the start of memristor chaotic system counterparts. Three-dimensional, four-dimensional, and five-dimensional memristor chaotic systems are given in standard form with sine functions and tangent functions to prove the effectiveness of this method. Eventually, an analog circuit of three-dimensional memristor chaotic system is designed and implemented to prove its feasibility.

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