Bifurcation structure of chaotic attractor in switched dynamical systems with spike noise |
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| Authors: | Akihito Matsuo Hiroyuki Asahara Takuji Kousaka |
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| Affiliation: | 1. School of Economics, The University of Queensland, Brisbane, Queensland 4072, Australia;2. Department Fundamentos del Análisis Económico, Universidad de Alicante, Spain;3. Department of Mathematics and Statistics, School of Engineering and Mathematical Sciences, La Trobe University, Australia |
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| 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. |
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