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Advances in Chaos Theory and Intelligent Control pp 35–52Cite as

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

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 337))

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.

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Acknowledgments

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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Authors and Affiliations

  1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam

    Viet-Thanh Pham, Thang Manh Hoang & Vu Van Yem

  2. Research and Development Centre, Vel Tech University, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  3. Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Christos K. Volos

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  1. Viet-Thanh Pham
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  2. Sundarapandian Vaidyanathan
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  3. Christos K. Volos
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  4. Thang Manh Hoang
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  5. Vu Van Yem
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Corresponding author

Correspondence to Viet-Thanh Pham .

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Editors and Affiliations

  1. Benha University, Benha, Egypt

    Ahmad Taher Azar

  2. Chennai, India

    Sundarapandian Vaidyanathan

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Pham, VT., Vaidyanathan, S., Volos, C.K., Hoang, T.M., Van Yem, V. (2016). Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor. In: Azar, A., Vaidyanathan, S. (eds) Advances in Chaos Theory and Intelligent Control. Studies in Fuzziness and Soft Computing, vol 337. Springer, Cham. https://doi.org/10.1007/978-3-319-30340-6_2

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  • DOI: https://doi.org/10.1007/978-3-319-30340-6_2

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