期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 55, 期 3-4, 页码 645-653出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.08.038
关键词
van der Pol oscillator; Limit cycle; Averaging; Amplitude
类别
资金
- Ministry of Science, Republic of Serbia [III41007]
A generalized van der Pol type oscillator is considered, with power-form nonlinearities in the restoring and damping force. The amplitude of the limit cycle is obtained by applying the generalized Krylov-Bogoliubov method for purely nonlinear oscillators. The influence of the values of the powers of the damping and the restoring force on this amplitude is investigated both analytically and numerically. The limiting values of this amplitude are found and the time for the amplitude to 'nearly' reach the limit cycle is estimated. (C) 2011 Elsevier Ltd. All rights reserved.
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