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Hyperchaotic Memcapacitor Oscillator with Infinite Equilibria and Coexisting Attractors

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Abstract

A newly introduced charge-controlled memcapacitor-based hyperchaotic oscillator with coexisting chaotic attractors is investigated. Dynamic analysis of the oscillator shows that it has infinite number of equilibrium points and shows multistability. Its multistability analysis in the parameter space shows the existence of chaotic and hyperchaotic attractors. Fractional-order analysis of the hyperchaotic oscillator shows that the hyperchaos remains in the fractional order too. Field programmable gate arrays are used to realize the proposed oscillator.

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Authors and Affiliations

  1. Department of Electrical and Communication Engineering, Center for Nonlinear Dynamics, The PNG University of Technology, Lae, Papua New Guinea

    Karthikeyan Rajagopal & Anitha Karthikeyan

  2. Center for Nonlinear Dynamics, Defence University, Bishoftu, Ethiopia

    Karthikeyan Rajagopal, Anitha Karthikeyan, Ashokkumar Srinivasan & Biniyam Ayele

  3. Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran

    Sajad Jafari

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  1. Karthikeyan Rajagopal
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Rajagopal, K., Jafari, S., Karthikeyan, A. et al. Hyperchaotic Memcapacitor Oscillator with Infinite Equilibria and Coexisting Attractors. Circuits Syst Signal Process 37, 3702–3724 (2018). https://doi.org/10.1007/s00034-018-0750-7

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