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Complex dynamics from a novel memristive 6D hyperchaotic autonomous system

  • Brice Anicet Mezatio
  • Marceline Motchongom Tingue
  • Romanic KengneEmail author
  • Aurelle Tchagna Kouanou
  • Theophile Fozin Fonzin
  • Robert Tchitnga
Article
  • 38 Downloads

Abstract

A simple 5D hyperchaotic system recently introduced in the literature is modified by using a charge-controlled memristor model and striking behaviors are uncovered. The resulting system is a 6D hyperchaotic system, which generates hidden attractors with the unusual feature of having plan and line equilibrium under different parameter conditions. Its dynamical behaviors are characterized through bifurcation diagrams, Lyapunov exponents, phase portraits, Poincaré sections and time series. Rich nonlinear dynamics such as limit cycles, quasi-periodicity, chaos, hyperchaos, bursting and hidden extreme multistability are found for appropriate sets of parameter values. The high complexity of the system is confirmed by its Kaplan–yorke dimension (greater than five). Additionally, an electronic circuit is designed to implement the novel system and PSpice simulation results are in good accordance with the numerical investigations. To the best of our knowledge, this system is the first with higher order presenting all those phenomena.

Keywords

6D hyperchaotic system Hidden extreme multistability Bursting oscillations Offset boosting 

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Brice Anicet Mezatio
    • 1
    • 2
  • Marceline Motchongom Tingue
    • 3
  • Romanic Kengne
    • 1
    • 2
    Email author
  • Aurelle Tchagna Kouanou
    • 2
  • Theophile Fozin Fonzin
    • 2
  • Robert Tchitnga
    • 1
    • 2
  1. 1.Research Group on Experimental and Applied Physics for Sustainable Development, Department of Physics, Faculty of ScienceUniversity of DschangDschangCameroon
  2. 2.Unité de Recherche de Matière Condensée d’Electronique et de Traitement du Signal (URMACETS), Department of Physics, Faculty of ScienceUniversity of DschangDschangCameroon
  3. 3.Higher Technical Teachers Training CollegeUniversity of BamendaBambiliCameroon

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