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RICH VARIETY OF BIFURCATIONS AND CHAOS IN A VARIANT OF MURALI–LAKSHMANAN–CHUA CIRCUIT
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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 - ω) plane, corresponding to the forcing amplitude (F) and frequency (ω), 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.
World Scientific Pub Co Pte Lt
Title: RICH VARIETY OF BIFURCATIONS AND CHAOS IN A VARIANT OF MURALI–LAKSHMANAN–CHUA CIRCUIT
Description:
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 - ω) plane, corresponding to the forcing amplitude (F) and frequency (ω), 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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