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

  • Viet-Thanh PhamEmail author
  • Sundarapandian Vaidyanathan
  • Christos K. Volos
  • Thang Manh Hoang
  • Vu Van Yem
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 337)


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.


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



This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 102.02-2012.27


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Viet-Thanh Pham
    • 1
    Email author
  • Sundarapandian Vaidyanathan
    • 2
  • Christos K. Volos
    • 3
  • Thang Manh Hoang
    • 1
  • Vu Van Yem
    • 1
  1. 1.School of Electronics and TelecommunicationsHanoi University of Science and TechnologyHanoiVietnam
  2. 2.Research and Development CentreVel Tech UniversityTamil NaduIndia
  3. 3.Physics DepartmentAristotle University of ThessalonikiThessalonikiGreece

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