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

Source: [Rich Variety of Bifurcations and Chaos in a Variant of Murali-Lakshmanan-Chua Circuit](<https://www.sota2.com/research/paper/68fa31e11e209131ce882bbe>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:07:32.319Z

Authors: K. Thamilmaran, M. Lakshmanan, K. Murali

Published: 2000-12-26T08:16:58.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/nlin/0012056>)

[PDF](<https://arxiv.org/pdf/nlin/0012056.pdf>)