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Bifurcation structure of chaotic attractor in switched dynamical systems with spike noise

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  • Matsuo, Akihito
  • Asahara, Hiroyuki
  • Kousaka, Takuji

Abstract

High-frequency ripple (spike noise) effects in the qualitative properties of DC/DC converter circuits. This study investigates the bifurcation structure of a chaotic attractor in a switched dynamical system with spike noise. First, we introduce the system dynamics and derive the associated Poincaré map. Next, we show the bifurcation structure of the chaotic attractor in a system with spike noise. Finally, we investigate the dynamical effect of spike noise in the existence region of the chaotic attractor compare with that of a chaotic attractor in a system with ideal switching. The results suggest that spike noise enlarges an invariant set and generates a new bifurcation structure of the chaotic attractor.

Suggested Citation

  • Matsuo, Akihito & Asahara, Hiroyuki & Kousaka, Takuji, 2012. "Bifurcation structure of chaotic attractor in switched dynamical systems with spike noise," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 795-804.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:6:p:795-804
    DOI: 10.1016/j.chaos.2012.02.011
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