Автор |
Piotr Zgliczynski |
Дата выпуска |
1997-01-01 |
dc.description |
We introduce horseshoe-type mappings which are geometrically similar to Smale's horseshoes. For such mappings we prove by means of the fixed point index the existence of chaotic dynamics - the semi-conjugacy to the shift on a finite number of symbols. Our theorem does not require any assumptions concerning derivatives, it is a purely topological result. The assumptions of our theorem are then rigorously verified by computer assisted computations for the classical Hénon map and for classical Rössler equations. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Computer assisted proof of chaos in the Rössler equations and in the Hénon map |
Тип |
paper |
DOI |
10.1088/0951-7715/10/1/016 |
Electronic ISSN |
1361-6544 |
Print ISSN |
0951-7715 |
Журнал |
Nonlinearity |
Том |
10 |
Первая страница |
243 |
Последняя страница |
252 |
Аффилиация |
Piotr Zgliczynski; Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland |
Выпуск |
1 |