Entrainment in van der Pol's oscillator in the presence of noise

Manohar, C. S. ; Iyengar, R. N. (1991) Entrainment in van der Pol's oscillator in the presence of noise International Journal of Non-linear Mechanics, 26 (5). pp. 679-686. ISSN 0020-7462

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002074...

Related URL: http://dx.doi.org/10.1016/0020-7462(91)90019-P

Abstract

The response of Van der Pol's oscillator to a combination of harmonic and white noise excitations is considered. The harmonic excitation frequency is taken to be in the neighbourhood of the system limit cycle frequency. The effect of addition of noise on the entrainment behaviour is investigated using a combination of methods of stochastic averaging and equivalent nonlinearization. Results based on the gaussian closure technique are also obtained and the theoretical solutions are compared with digital simulations.

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ID Code:12727
Deposited On:11 Nov 2010 09:05
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