DocumentCode
3379544
Title
Andronov-Hopf bifurcation of sinusoidal oscillators under the influence of noise
Author
Mathis, Wolfgang
Author_Institution
Dept. of Electr. Eng., Hannover Univ., Germany
Volume
5
fYear
2004
fDate
23-26 May 2004
Abstract
We consider Andronov Hopf bifurcation in sinusoidal electrical oscillators under noisy disturbance. For this purpose the deterministic description of oscillators must be generalized using the concept of so-called invariant measures. It turns out that in noisy oscillators two inequivalent bifurcation approaches are available. By means of the van der Pol oscillator these noisy Andronov Hopf bifurcation concepts are illustrated.
Keywords
bifurcation; circuit noise; numerical analysis; oscillators; Andronov-Hopf bifurcation; deterministic oscillator description; invariant measures; noisy disturbance; sinusoidal electrical oscillators; van der Pol oscillator; Active noise reduction; Bifurcation; Circuit analysis; Circuit noise; Differential algebraic equations; Differential equations; Limit-cycles; Oscillators; Phase noise; Resistors;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on
Print_ISBN
0-7803-8251-X
Type
conf
DOI
10.1109/ISCAS.2004.1329894
Filename
1329894
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