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Hyperchaotic Oscillation in the Deformed Rikitake Two-Disc Dynamo System Induced by Memory Effect

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  • Yanling Wang
  • Tengfei Lei
  • Xin Zhang
  • Chunbiao Li
  • Sajad Jafari

Abstract

The fundamental dynamics of the deformed Rikitake two-disc dynamo system is explored in this paper. Memory effect on the dynamical behavior of the generator system is studied by introducing a quadratic flux-controlled memristor. Hyperchaotic oscillation in the deformed Rikitake two-disk coupled generator is therefore firstly found. Lyapunov exponents, bifurcation diagram, and phase portraits prove the abundant dynamic behavior consistently.

Suggested Citation

  • Yanling Wang & Tengfei Lei & Xin Zhang & Chunbiao Li & Sajad Jafari, 2020. "Hyperchaotic Oscillation in the Deformed Rikitake Two-Disc Dynamo System Induced by Memory Effect," Complexity, Hindawi, vol. 2020, pages 1-10, May.
    • Handle: RePEc:hin:complx:8418041
    DOI: 10.1155/2020/8418041
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