The behaviour of the solutions of the forced Van der Pol equation with small parameters

The forced Van der Pol equation x+ u.(x 2 - l)x + x = p(t), jJ. > 0,1 p(t)1 ~ k where u and k are small parameters, is investigated in the phase plane, It is shown that the solutions of the equation are eventually confined in an annulas as t increases for certain values of u and k

Saved in:
Bibliographic Details
Main Author: Ismail, Mat Rofa
Format: Article
Language:English
English
Published: Universiti Pertanian Malaysia 1988
Online Access:http://psasir.upm.edu.my/id/eprint/2700/1/The_Behaviour_of_the_Solutions_of_the_Forced_Van_der_Pol.pdf
http://psasir.upm.edu.my/id/eprint/2700/
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The forced Van der Pol equation x+ u.(x 2 - l)x + x = p(t), jJ. > 0,1 p(t)1 ~ k where u and k are small parameters, is investigated in the phase plane, It is shown that the solutions of the equation are eventually confined in an annulas as t increases for certain values of u and k