Affiliation:
1. Centre for Nonlinear Dynamics, Department of Physics, Bharathidasan University, Tiruchirappalli – 620 024, India
2. Department of Physics, Anna University, Chennai – 600 025, India
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 - 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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
36 articles.
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