Автор |
B B Peckham |
Дата выпуска |
1990-05-01 |
dc.description |
By varying the forcing frequency and amplitude of a periodically forced planar oscillator, the author obtains a rich variety of responses. Whenever the resonance regions that are known to exist for small amplitudes of forcing terminate, he shows that a fixed-point Hopf bifurcation must be involved. The main tool, whose properties he discusses in detail, is a self-rotation number for orbits in the plane. He illustrates his theorems with a numerical model. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
The necessity of the Hopf bifurcation for periodically forced oscillators |
Тип |
paper |
DOI |
10.1088/0951-7715/3/2/002 |
Electronic ISSN |
1361-6544 |
Print ISSN |
0951-7715 |
Журнал |
Nonlinearity |
Том |
3 |
Первая страница |
261 |
Последняя страница |
280 |
Аффилиация |
B B Peckham; Dept. of Math., Boston Univ., MA, USA |
Выпуск |
2 |