Автор |
J H J van Opheusden |
Автор |
T P Valkering |
Дата выпуска |
1989-05-01 |
dc.description |
The authors consider a one-dimensional chain of N+2 identical particles with nearest-neighbour Lennard-Jones interaction and uniform friction. The chain is driven by a prescribed periodic motion of one end particle, with frequency v and 'strength' parameter alpha . The other end particle is held fixed. They demonstrate numerically that there is a region in the alpha -v plane where the chain has a stable state in which a density wave runs to and fro between the two ends of the chain, similarly to a ball bouncing between two walls. More importantly, they observe a period-doubling transition to chaos, for fixed v and increasing alpha , while the localised (solitary wave) character of the motion is preserved. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Period-doubling density waves in a chain |
Тип |
paper |
DOI |
10.1088/0951-7715/2/2/010 |
Electronic ISSN |
1361-6544 |
Print ISSN |
0951-7715 |
Журнал |
Nonlinearity |
Том |
2 |
Первая страница |
357 |
Последняя страница |
371 |
Аффилиация |
J H J van Opheusden; Center for Theor. Phys., Twente Univ., Enschede, Netherlands |
Аффилиация |
T P Valkering; Center for Theor. Phys., Twente Univ., Enschede, Netherlands |
Выпуск |
2 |