| Автор | V Afraimovich |
| Автор | Ya Pesin |
| Дата выпуска | 1993-05-01 |
| dc.description | The authors study the stability of motion in the form of travelling waves in lattice models of unbounded multi-dimensional and multi-component media with a nonlinear prime term and small coupling depending on a finite number of space coordinates. Under certain conditions on the nonlinear term we show that the set of travelling waves running with the same sufficiently large velocity forms a finite-dimensional submanifold in infinite-dimensional phase space endowed with a special metric with weights. It is 'almost' stable and contains a finite-dimensional strongly hyperbolic subset invariant under both evolution operator and space translations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Travelling waves in lattice models of multi-dimensional and multi-component media. I. General hyperbolic properties |
| Тип | paper |
| DOI | 10.1088/0951-7715/6/3/006 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 6 |
| Первая страница | 429 |
| Последняя страница | 455 |
| Аффилиация | V Afraimovich; Dept. of Math., Pennsylvania State Univ., University Park, PA, USA |
| Аффилиация | Ya Pesin; Dept. of Math., Pennsylvania State Univ., University Park, PA, USA |
| Выпуск | 3 |
