A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon
This paper deals with the Van der Pol oscillator subjected to complicated excitations. Section 1
 presents the Van der Pol oscillator with a variable friction force . Section 2 is concerned with a
 Van der Pol oscillator under a simultaneous influence of forced and nonlinear parametr...
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| Опубліковано в: : | Нелінійні коливання |
|---|---|
| Дата: | 2001 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2001
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/174756 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon / Nguen Van Dao, Nguyen Van Dinh, Tran Kim Chi // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 500-528. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862647493794201600 |
|---|---|
| author | Nguen Van Dao Nguyen Van Dinh Tran Kim Chi |
| author_facet | Nguen Van Dao Nguyen Van Dinh Tran Kim Chi |
| citation_txt | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon / Nguen Van Dao, Nguyen Van Dinh, Tran Kim Chi // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 500-528. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | This paper deals with the Van der Pol oscillator subjected to complicated excitations. Section 1
presents the Van der Pol oscillator with a variable friction force . Section 2 is concerned with a
Van der Pol oscillator under a simultaneous influence of forced and nonlinear parametric excitations. Section 3 is devoted to the regular oscillation and chaotic phenomenon in a forced,
strongly nonlinear Van der Pol’s oscillator. The stationary oscillations, their stability and transitional regimes and also chaotic phenomenon are of special interest. The asymptotic method
of nonlinear mechanics and the method of harmonic balance, in combination with a computer,
are used.
|
| first_indexed | 2025-12-01T13:35:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174756 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-12-01T13:35:05Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nguen Van Dao Nguyen Van Dinh Tran Kim Chi 2021-01-27T17:51:15Z 2021-01-27T17:51:15Z 2001 A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon / Nguen Van Dao, Nguyen Van Dinh, Tran Kim Chi // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 500-528. — Бібліогр.: 6 назв. — англ. 1562-3076 AMS Subject Classification: 34E10 https://nasplib.isofts.kiev.ua/handle/123456789/174756 This paper deals with the Van der Pol oscillator subjected to complicated excitations. Section 1
 presents the Van der Pol oscillator with a variable friction force . Section 2 is concerned with a
 Van der Pol oscillator under a simultaneous influence of forced and nonlinear parametric excitations. Section 3 is devoted to the regular oscillation and chaotic phenomenon in a forced,
 strongly nonlinear Van der Pol’s oscillator. The stationary oscillations, their stability and transitional regimes and also chaotic phenomenon are of special interest. The asymptotic method
 of nonlinear mechanics and the method of harmonic balance, in combination with a computer,
 are used. This work was supported by the Council for Natural Science of Vietnam en Інститут математики НАН України Нелінійні коливання A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon Осцилятор Ван дер Поля, що піддається хаотичному явищу складних збурень Осциллятор Ван дер Поля, подверженный хаотическому явлению сложных возмущений Article published earlier |
| spellingShingle | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon Nguen Van Dao Nguyen Van Dinh Tran Kim Chi |
| title | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon |
| title_alt | Осцилятор Ван дер Поля, що піддається хаотичному явищу складних збурень Осциллятор Ван дер Поля, подверженный хаотическому явлению сложных возмущений |
| title_full | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon |
| title_fullStr | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon |
| title_full_unstemmed | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon |
| title_short | A Van der Pol oscillator subjected to complicated excitations chaotic phenomenon |
| title_sort | van der pol oscillator subjected to complicated excitations chaotic phenomenon |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174756 |
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