𝐶²-perturbations of Hopf’s bifurcation points and homoclinic tangencies

Autor:	Leonardo Mora, J. C. Martín
Rok vydání:	1999
Předmět:	Applied Mathematics General Mathematics Mathematical analysis Homoclinic orbit Bifurcation Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 128:1241-1245
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-99-05106-0
Popis:	In this note we show that a diffeomorphism which has a Hopf’s bifurcation point, can be C 2 C^2 perturbed around the bifurcation point in order to get a diffeomorphism which exhibits homoclinic tangencies. In the C 3 C^3 case this is not possible because of the typical unfolding of a Hopf’s bifurcation point.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::142064a0baf973091472caca40cbd90d https://doi.org/10.1090/s0002-9939-99-05106-0 Zobrazit plný text záznamu