Rich Variety of Bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit

Abstract

A very simple nonlinear parallel nonautonomous LCR circuit with Chua's diode as its only nonlinear element, exhibiting a rich variety of dynamical features, is proposed as a variant of the simplest nonlinear nonautonomous circuit introduced by Murali, Lakshmanan and Chua(MLC). By constructing a two-parameter phase diagram in the $(F-\omega )$ plane, corresponding to the forcing amplitude (F) and frequency $(\omega )$, we identify, besides the familiar period-doubling scenario to chaos, intermittent and quasiperiodic routes to chaos as well as period-adding sequences, Farey sequences, and so on. The chaotic dynamics is verified by both experimental as well as computer simulation studies including PSPICE.

arXiv comment4 pages, RevTeX 4, 5 EPS figures

Cited by in corpus (4)

• Nonsmooth Bifurcations, Transient Hyperchaos and Hyperchaotic Beats in a Memristive Murali-Lakshmanan-Chua Circuit
• A Complete Analytical Study on the Dynamics of Simple Chaotic Systems
• Generalized Analytical Solutions and Synchronization Dynamics of Coupled Simple Nonlinear Electronic Circuits
• Numerical and analytical studies on the complete synchronization of the variant of Murali-Lakshmanan-Chua circuits