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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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