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

Akihito Matsuo, Hiroyuki Asahara and Takuji Kousaka

Chaos, Solitons & Fractals, 2012, vol. 45, issue 6, 795-804

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:6:p:795-804

DOI: 10.1016/j.chaos.2012.02.011

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