Horseshoes for a Generalized Markus–Yamabe Example

Autor:	Salvador Addas-Zanata, Bernardo Carramão Gomes
Rok vydání:	2011
Předmět:	Pure mathematics Mathematics::Dynamical Systems Planar Applied Mathematics Mathematical analysis Discrete Mathematics and Combinatorics SISTEMAS DINÂMICOS Diffeomorphism Mathematics::Symplectic Geometry Horseshoe (symbol) Mathematics
Zdroj:	Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual) Universidade de São Paulo (USP) instacron:USP
ISSN:	1662-3592 1575-5460
DOI:	10.1007/s12346-011-0043-z
Popis:	In this paper we present an example of a planar diffeomorphism satisfying the generalized Markus–Yamabe conditions, which has a horseshoe. This answers negatively a belief that generically they should be Morse–Smale.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c78f2ed892b5d3b60bbcabb8d8100897 https://doi.org/10.1007/s12346-011-0043-z Zobrazit plný text záznamu Full text from SpringerLink