Collapse of lost solution and chaos in a driven piecewise linear Rayleigh oscillator

In this paper, we study the response of lost solution generating circuit to an extremely small periodic perturbation. The lost solution breaks down by this perturbation and chaos is generated. To analyze this phenomena in detail, piecewise linear technique and degenerate technique are applied. If th...

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Published inICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483) Vol. 1; pp. 301 - 304 vol.1
Main Author Hishinuma, I.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2001
Subjects
Bifurcation
Chaos
Circuit analysis
Circuit noise
Equations
Information science
Laboratories
Piecewise linear techniques
Switches
Voltage-controlled oscillators
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Summary:In this paper, we study the response of lost solution generating circuit to an extremely small periodic perturbation. The lost solution breaks down by this perturbation and chaos is generated. To analyze this phenomena in detail, piecewise linear technique and degenerate technique are applied. If these techniques are applied, Poincare map is derived rigorously as a one-dimensional map. The chaos generation is well explained by this map.
ISBN:9780780370579
0780370570
DOI:10.1109/ICECS.2001.957739