A note on Tonelli Lagrangian systems on T2 with positive topological entropy on a high energy level.

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorDamasceno, Josué Geraldo-
Autor(es): dc.creatorMiranda, José Antônio Gonçalves-
Autor(es): dc.creatorAraújo, Luiz Gustavo Perona-
Data de aceite: dc.date.accessioned2025-08-21T15:12:11Z-
Data de disponibilização: dc.date.available2025-08-21T15:12:11Z-
Data de envio: dc.date.issued2023-02-05-
Data de envio: dc.date.issued2023-02-05-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/jspui/handle/123456789/16114-
Fonte completa do material: dc.identifierhttps://doi.org/10.20537/nd200407-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1005633-
Descrição: dc.descriptionIn this work we study the dynamical behavior of Tonelli Lagrangian systems defined on the tangent bundle of the torus T2 = R2/Z2. We prove that the Lagrangian flow restricted to a high energy level E−1 L (c) (i.e., c>c0(L)) has positive topological entropy if the flow satisfies the Kupka-Smale property in E−1 L (c) (i.e., all closed orbits with energy c are hyperbolic or elliptic and all heteroclinic intersections are transverse on E−1 L (c)). The proof requires the use of well-known results from Aubry – Mather theory.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsaberto-
Direitos: dc.rightsThis work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License. Fonte: Russian Journal of Nonlinear Dynamics <http://nd.ics.org.ru/nd200407/>. Acesso em: 19 out. 2022.-
Palavras-chave: dc.subjectAubry – mather theory-
Palavras-chave: dc.subjectStatic classes-
Título: dc.titleA note on Tonelli Lagrangian systems on T2 with positive topological entropy on a high energy level.-
Aparece nas coleções:Repositório Institucional - UFOP

Não existem arquivos associados a este item.