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

Author

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  • Arulgnanam, A.
  • Thamilmaran, K.
  • Daniel, M.

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.

Suggested Citation

  • Arulgnanam, A. & Thamilmaran, K. & Daniel, M., 2009. "Chaotic dynamics with high complexity in a simplified new nonautonomous nonlinear electronic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2246-2253.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2246-2253
    DOI: 10.1016/j.chaos.2009.03.156
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    Cited by:

    1. Arulgnanam, A. & Prasad, Awadhesh & Thamilmaran, K. & Daniel, M., 2015. "Multilayered bubbling route to SNA in a quasiperiodically forced electronic circuit with experimental and analytical confirmation," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 96-110.
    2. Sivaganesh, G. & Arulgnanam, A. & Seethalakshmi, A.N., 2018. "Generalized analytical solutions and experimental confirmation of complete synchronization in a class of mutually coupled simple nonlinear electronic circuits," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 294-307.

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