Chapter

Advances in Chaos Theory and Intelligent Control

Volume 337 of the series Studies in Fuzziness and Soft Computing pp 35-52

Date:

Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor

  • Viet-Thanh PhamAffiliated withSchool of Electronics and Telecommunications, Hanoi University of Science and Technology Email author 
  • , Sundarapandian VaidyanathanAffiliated withResearch and Development Centre, Vel Tech University
  • , Christos K. VolosAffiliated withPhysics Department, Aristotle University of Thessaloniki
  • , Thang Manh HoangAffiliated withSchool of Electronics and Telecommunications, Hanoi University of Science and Technology
  • , Vu Van YemAffiliated withSchool of Electronics and Telecommunications, Hanoi University of Science and Technology

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Abstract

The realization of memristor in nanoscale size has received considerate attention recently because memristor can be applied in different potential areas such as spiking neural network, high-speed computing, synapses of biological systems, flexible circuits, nonvolatile memory, artificial intelligence, modeling of complex systems or low power devices and sensing. Interestingly, memristor has been used as a nonlinear element to generate chaos in memristive system. In this chapter, a new memristive system is proposed. The fundamental dynamics properties of such memristive system are discovered through equilibria, Lyapunov exponents, and Kaplan–York dimension. Especially, hidden attractor and hyperchaos can be observed in this new system. Moreover, synchronization for such system is studied and simulation results are presented showing the accuracy of the introduced synchronization scheme. An electronic circuit modelling such hyperchaotic memristive system is also reported to verify its feasibility.

Keywords

Chaos Hyperchaos Lyapunov exponents Hidden attractor No-equilibrium Memristor Synchronization Circuit SPICE