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 parametric excitations....
Збережено в:
| Дата: | 2001 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2001
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/174756 |
| Теги: |
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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| Резюме: | 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. |
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