The Bifurcations and Chaotic Oscillations in Electric Circuits with Arc

  • V. Sydorets
Part of the Studies in Computational Intelligence book series (SCI, volume 180)


The autonomous electric circuits with arc governed by three ordinary differential equations were investigated. Under variation of two parameters we observed many kinds of bifurcations, periodic and chaotic behaviors of this system. The bifurcation diagrams were studied in details by means of its construction. Routes to chaos were classified. Three basis patterns of bifurcation diagrams that possess the properties – (i) softness and reversibility; (ii) stiffness and irreversibility; (iii) stiffness and reversibility – were observed.


Hopf Bifurcation Bifurcation Diagram Strange Attractor Bifurcation Parameter Chaotic Oscillation 
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© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • V. Sydorets
    • 1
  1. 1.Paton Welding InstituteKievUkraine

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