Open AccessSINGULAR PERTURBATIONS FOR THE FORCED VAN DER POL OSCILLATOR
Author(s) -
Elmetwally M. Elabbasy
Publication year - 1993
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.24.1993.4514
Subject(s) - van der pol oscillator , mathematics , subharmonic , forcing (mathematics) , perturbation (astronomy) , mathematical analysis , nonlinear system , physics , quantum mechanics
This paper deals with the Van der Pol oscillator with large si nusoidal forcing term. By using singular perturbation techniques a.symp totic solutions of such a system are constructed. We considered the case $b$ small and then we find the range of values of $b$ for which the Van der Pol oscillatore may have 3 stable subharmonic solutions for the same values of the parameters. We have integrated the equation numerically; then a comparison of the numerical results obtained with analytical results of this paper is given.