Abstract
A Van der Pol equation with periodic forcing term is investigated for large values of the parameter. A synchronized periodic solution is approximated by singular perturbation methods. It appears that the parameter $\nu $ and the amplitude b of the forcing term have to satisfy certain conditions for finding a matched asymptotic approximation. In the b, $\nu $-plane overlapping regions are constructed in which these conditions are satisfied. In the domain of overlap two periodic solutions with different periods are possible which is in agreement with numerical and analytical results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
