Title: A new biological snap oscillator: its modelling, analysis, simulations and circuit design

Authors: Sundarapandian Vaidyanathan; Moez Feki; Aceng Sambas; Chang-Hua Lien

Addresses: Research and Development Centre, Vel Tech University, Avadi, Chennai 600062, Tamil Nadu, India ' Research Group LAMMDA, ESSTHS, University of Sousse, Sousse, Tunisia; Research Group Digital Security, SUP'Com, University of Carthage, Tunis, Tunisia ' Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaja, Jawa Barat, Indonesia ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 807, Taiwan

Abstract: In this work, we build a new four-dimensional autonomous biological snap oscillator model for enzyme-substrate reactions in a brain waves model. We investigate the process modelling of the new autonomous biological snap oscillator via phase portraits, simulations, dissipativity, symmetry, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation analysis, Poincaré map, etc. In addition, it is interesting that the electronic circuit model of the new biological snap oscillator is also investigated and phase portraits are analysed in MultiSIM.

Keywords: chaos; chaotic systems; circuit design; dissipativity; Lyapunov exponents.

DOI: 10.1504/IJSPM.2018.094734

International Journal of Simulation and Process Modelling, 2018 Vol.13 No.5, pp.419 - 432

Received: 04 Jan 2018
Accepted: 06 Mar 2018
Published online: 14 Sep 2018 *

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