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
| Main Author: | |
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| Format: | Article |
| Language: | English English |
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Universiti Pertanian Malaysia
1988
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| Online Access: | http://psasir.upm.edu.my/id/eprint/2700/ http://psasir.upm.edu.my/id/eprint/2700/1/The_Behaviour_of_the_Solutions_of_the_Forced_Van_der_Pol.pdf |
| _version_ | 1848839320641732608 |
|---|---|
| author | Ismail, Mat Rofa |
| author_facet | Ismail, Mat Rofa |
| author_sort | Ismail, Mat Rofa |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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 |
| first_indexed | 2025-11-15T07:09:35Z |
| format | Article |
| id | upm-2700 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:09:35Z |
| publishDate | 1988 |
| publisher | Universiti Pertanian Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-27002016-02-19T03:55:56Z http://psasir.upm.edu.my/id/eprint/2700/ The behaviour of the solutions of the forced Van der Pol equation with small parameters Ismail, Mat Rofa 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 Universiti Pertanian Malaysia 1988 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/2700/1/The_Behaviour_of_the_Solutions_of_the_Forced_Van_der_Pol.pdf Ismail, Mat Rofa (1988) The behaviour of the solutions of the forced Van der Pol equation with small parameters. Pertanika, 11 (2). pp. 305-309. ISSN 0126-6128 English |
| spellingShingle | Ismail, Mat Rofa The behaviour of the solutions of the forced Van der Pol equation with small parameters |
| title | The behaviour of the solutions of the forced Van der Pol
equation with small parameters |
| title_full | The behaviour of the solutions of the forced Van der Pol
equation with small parameters |
| title_fullStr | The behaviour of the solutions of the forced Van der Pol
equation with small parameters |
| title_full_unstemmed | The behaviour of the solutions of the forced Van der Pol
equation with small parameters |
| title_short | The behaviour of the solutions of the forced Van der Pol
equation with small parameters |
| title_sort | behaviour of the solutions of the forced van der pol
equation with small parameters |
| url | http://psasir.upm.edu.my/id/eprint/2700/ http://psasir.upm.edu.my/id/eprint/2700/1/The_Behaviour_of_the_Solutions_of_the_Forced_Van_der_Pol.pdf |