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Crisis induced intermittency in a fourth-order autonomous electric circuit

Author

Listed:
  • Stouboulos, I.N.
  • Miliou, A.N.
  • Valaristos, A.P.
  • Kyprianidis, I.M.
  • Anagnostopoulos, A.N.

Abstract

The chaotic dynamics of a fourth-order autonomous nonlinear electric circuit has been studied. The circuit consists of two active elements, one linear negative conductance and one nonlinear resistor exhibiting a symmetrical piecewise-linear v–i characteristic and two capacitances C1 and C2, which serve as the control parameters of the system. Experimental time series and the corresponding phase portraits were used to register the intermittent behaviour of the corresponding dynamical system between two interacting subattractors. The distribution of the times τ, between successive transitions from the one subattractor to the other indicates that a crisis induced intermittency occurs in the studied circuit.

Suggested Citation

  • Stouboulos, I.N. & Miliou, A.N. & Valaristos, A.P. & Kyprianidis, I.M. & Anagnostopoulos, A.N., 2007. "Crisis induced intermittency in a fourth-order autonomous electric circuit," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1256-1262.
  • Handle: RePEc:eee:chsofr:v:33:y:2007:i:4:p:1256-1262
    DOI: 10.1016/j.chaos.2006.01.080
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    Cited by:

    1. Zhou, Qian & Chen, Zeng-qiang & Yuan, Zhu-zhi, 2009. "Blowout bifurcation and chaos–hyperchaos transition in five-dimensional continuous autonomous systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1012-1020.

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