Infinitely many coexisting strange attractors

Autor:	Eduardo Colli
Rok vydání:	1998
Předmět:	Pure mathematics Mathematics::Dynamical Systems Dense set Applied Mathematics Mathematical analysis Open set Tangent Nonlinear Sciences::Chaotic Dynamics Attractor Diffeomorphism Homoclinic orbit Mathematics::Symplectic Geometry Mathematical Physics Analysis Mathematics
Zdroj:	Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 15:539-579
ISSN:	1873-1430 0294-1449
DOI:	10.1016/s0294-1449(98)80001-2
Popis:	We prove that C ∞ diffeomorphisms of a two-dimension manifold M with a homoclinic tangency are in the closure of an open set of Diff ∞ ( M ) containing a dense subset of diffeomorphisms exhibiting infinitely many coexisting Henon-like strange attractors (or repellers). A similar statement is posed in terms of one-parameter C ∞ families of diffeomorphisms unfolding a homoclinic tangency. Moreover, we show the existence of infinitely many dynamical phenomena others than strange attractors.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8770772de28a09f7816573240665b928 https://doi.org/10.1016/s0294-1449(98)80001-2 Zobrazit plný text záznamu