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

Manohar, CS and Iyengar, RN (1991) Entrainment in Van der Pol's oscillator in the presence of noise. In: International Journal of Non-Linear Mechanics, 26 (5). pp. 679-686.

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

Abstract

The response of Van der Pal’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 nonlinearixation. Results based on the gaussian closure technique are also obtained and the theoretical solutions are compared with digital simulations.

Item Type: Journal Article
Publication: International Journal of Non-Linear Mechanics
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 27 Jun 2007
Last Modified: 17 Jan 2012 05:46
URI: http://eprints.iisc.ac.in/id/eprint/11273

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