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Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method

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  • Taheri, Alireza Ghomi
  • Setoudeh, Farbod
  • Tavakoli, Mohammad Bagher
  • Feizi, Esmaeil

Abstract

This paper aims to present a new analytical method for behavioral analysis of the memcapacitor-based hyperchaotic oscillator by adaptive multi-step differential transform method (adaptive MsDTM). Comparisons between the MsDTM, adaptive MsDTM and Runge-Kutta 4th order method (RK4M) are made. In this paper, a new technique to calculate Lyapunov exponent (LE) based on adaptive MsDTM is proposed. The effect of different system parameters on system performance is studied analytically. For this purpose, the LEs of the system are analytically calculated according to various system parameters. Finally, the effect of additive noise on system performance is investigated.

Suggested Citation

  • Taheri, Alireza Ghomi & Setoudeh, Farbod & Tavakoli, Mohammad Bagher & Feizi, Esmaeil, 2022. "Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003320
    DOI: 10.1016/j.chaos.2022.112122
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