A novel approach to the van der pol oscillator: Natural frequency and entrainment
作者:
D. Schild,
D. Guicking,
期刊:
Journal of Interdisciplinary Cycle Research
(Taylor Available online 1980)
卷期:
Volume 11,
issue 4
页码: 285-298
ISSN:0022-1945
年代: 1980
DOI:10.1080/09291018009359715
出版商: Taylor & Francis Group
关键词: entrainment;self‐sustained oscillations;van der Pol oscillator
数据来源: Taylor
摘要:
The physics of the van der Pol oscillator as realized by the Meissner circuit is discussed by analogy to the beat phenomenon and by a consequent analysis of current balance. The current balance method leads to a new, very accurate equation for the dependence of the oscillator frequency on the feedback parameter. Several aspects of entrainment (existence, limited frequency range, dependence on parameters, phase shift) can be explained, too. Numerical results are presented which have been obtained by solving the homogeneous and inhomogeneous van der Pol equation with a Runge‐Kutta method.
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