Entropy (Jun 2020)

Chaos Control and Synchronization of a Complex Rikitake Dynamo Model

  • Wenkai Pang,
  • Zekang Wu,
  • Yu Xiao,
  • Cuimei Jiang

DOI
https://doi.org/10.3390/e22060671
Journal volume & issue
Vol. 22, no. 6
p. 671

Abstract

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A novel chaotic system called complex Rikitake system is proposed. Dynamical properties, including symmetry, dissipation, stability of equilibria, Lyapunov exponents and bifurcation, are analyzed on the basis of theoretical analysis and numerical simulation. Further, based on feedback control method, the complex Rikitake system can be controlled to any equilibrium points. Additionally, this paper not only proves the existence of two types of synchronization schemes in the complex Rikitake system but also designs adaptive controllers to realize them. The proposed results are verified by numerical simulations.

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