Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit-Reference-Cited by-同舟云学术

Chaotic and Hyperchaotic Dynamics of a Modified Murali–Lakshmanan–Chua Circuit

Published:2019-02-15 Issue:5 Volume:14 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Manimehan I.¹,Paul Asir M.²,Philominathan P.²

Affiliation:

1. Department of Physics, M. R. Government Arts College, Mannargudi 614001, Tamil Nadu, India e-mail:

2. Department of Physics, A.V.V.M Sri Pushpam College, Poondi, Thanjavur 613503, Tamil Nadu, India e-mail:

Abstract

The present study uncovers the hyperchaotic dynamical behavior of the famous Murali-Lakshmanan-Chua (MLC) circuit, when suitably modified. In the conventional MLC oscillator, an inductor is introduced in parallel between the nonlinear element and the capacitor. Many novel and interesting dynamical behaviors such as reverse period-3 doubling, torus breakdown to chaos and hyperchaos, etc., were observed. Characterization techniques includes spectrum of Lyapunov exponents, one parameter bifurcation diagram, recurrence quantification analysis, correlation dimension, etc., were employed to analyze the different dynamical regimes. Explicit analytical solution of the model is derived and the results are corroborated with the numerical outcomes.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4042692/6112848/cnd_014_05_051001.pdf

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