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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
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