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

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

2000-12-26

arxiv.org/abs/nlin/0012056v1

Int. J. Bifur. Chaos: Appl. Sci. Engg. 10 (2000) 1781-1785

Nonlinear Sciences

Chaotic Dynamics

4 pages, RevTeX 4, 5 EPS figures

Scientific paper

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.

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