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

被引：6
|
作者：
Manimehan, I. [1 ]
Asir, M. Paul [2 ]
Philominathan, P. [2 ]
机构：
[1] MR Govt Arts Coll, Dept Phys, Mannargudi 614001, Tamil Nadu, India
[2] AVVM Sri Pushpam Coll, Dept Phys, Thanjavur 613503, Tamil Nadu, India
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2019年 / 14卷 / 05期
关键词：
RECURRENCE PLOTS; SYNCHRONIZATION; SYSTEM;
D O I：
10.1115/1.4042692
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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.
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页数：9
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