Internal crisis in a second-order non-linear non-autonomous electronic oscillator

The internal crisis of a second-order non-linear non-autonomous chaotic electronic circuit is studied. The phase portraits consist of two interacting sub-attractors, a chaotic and a periodic one. Maximal Lyapunov exponents were calculated, for both the periodic and the chaotic waveforms, in order to...

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Published inChaos, solitons and fractals Vol. 36; no. 4; pp. 1055 - 1061
Main Authors Stavrinides, S.G., Deliolanis, N.C., Miliou, A.N., Laopoulos, Th, Anagnostopoulos, A.N.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2008
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Summary:The internal crisis of a second-order non-linear non-autonomous chaotic electronic circuit is studied. The phase portraits consist of two interacting sub-attractors, a chaotic and a periodic one. Maximal Lyapunov exponents were calculated, for both the periodic and the chaotic waveforms, in order to confirm their nature. Transitions between the chaotic and the periodic sub-attractors become more frequent by increasing the circuit driving frequency. The frequency distribution of the corresponding laminar lengths and their average values indicate that an internal crisis takes place in this circuit, manifested in the intermittent behaviour of the corresponding orbits.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2006.07.025