Chaotic dynamics with high complexity in a simplified new nonautonomous nonlinear electronic circuit

A. Arulgnanam, K. Thamilmaran and M. Daniel
Authors registered in the RePEc Author Service: Daniel Moise

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2246-2253

Abstract: A two dimensional nonautonomous dissipative forced series LCR circuit with a simple nonlinear element exhibiting an immense variety of dynamical features is proposed for the first time. Unlike the usual cases of nonlinear element, the nonlinear element used here possesses three segment piecewise linear character with one positive and one negative slope. This nonlinearity is verified to be sufficient to produce chaos with high complexity in many established nonautonomous nonlinear circuits, such as MLC, MLCV, driven Chua, etc., thus indicating an universal behavior similar to the familiar Chua’s diode. The dynamics of the proposed circuit is studied experimentally, confirmed numerically, simulated through PSPICE and proved mathematically. An important feature of the circuit is its ability to show dual chaotic behavior.

Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2246-2253

DOI: 10.1016/j.chaos.2009.03.156

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