Lyapunov graphs for circle valued functions

Autor: Ketty A. de Rezende, Gioia M. Vago, Guido G. E. Ledesma, Oziride Manzoli-Neto

Publikováno v: Topology and its Applications
Topology and its Applications, Elsevier, 2018, 245, pp.62-91. ⟨10.1016/j.topol.2018.06.008⟩
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

International audience; Conley index theory is used to obtain results for flows associated to circular Lyapunov functions defined on general compact smooth n-manifolds. This is done in terms of their underlying circular Lyapunov digraphs, which are g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6afb1f00c498968cf9b86162696b0961
https://hal.archives-ouvertes.fr/hal-01997460

Integration of a Dirac comb and the Bernoulli polynomials

Autor: Maria Alice Bertolim, Alain Jacquemard, Gioia M. Vago

Publikováno v: Bulletin des Sciences Mathématiques
Bulletin des Sciences Mathématiques, Elsevier, 2016, 140 (2), pp.119-139. 〈10.1016/j.bulsci.2015.11.001〉
Bulletin des Sciences Mathématiques, Elsevier, 2016, 140 (2), pp.119-139. ⟨10.1016/j.bulsci.2015.11.001⟩

For any positive integer n , we consider the ordinary differential equations of the form y ( n ) = 1 − Ш + F where Ш denotes the Dirac comb distribution and F is a piecewise- C ∞ periodic function with null average integral. We prove the existe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9d6fa442642d1d0daed8e94db1c2865
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01413233

Minimal Morse flows on compact manifolds

Autor: Maria Alice Bertolim, K. A. de Rezende, Gioia M. Vago

Publikováno v: Topology and its Applications. 153(18):3450-3466

In this paper we prove, using the Poincare–Hopf inequalities, that a minimal number of non-degenerate singularities can be computed in terms only of abstract homological boundary information. Furthermore, this minimal number can be realized on some

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a9b67be7b09015e9994dfe46a5ada90

Conjugate unstable manifolds and their underlying geometrized Markov partitions

Autor: Gioia M. Vago

Publikováno v: Topology and its Applications. 104:255-291

Conjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are characterized in terms of the combinatorics of their geometrized Markov partitions. As a consequence, the relationship between the local and the global point of vi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7498c457cd8f529c58bf8c5b026b8016
https://doi.org/10.1016/s0166-8641(99)00017-6

Local density of diffeomorphisms with large centralizers

Autor: Sylvain Crovisier, Christian Bonatti, Gioia M. Vago, Amie Wilkinson

Pour toute variete M compacte, de dimension quelconque, nous construisons une partie O C Diff 1 (M) non vide, ouverte dans l'espace Diff 1 (M) des C 1 -diffeomorphismes de M, et un sous-ensemble D C O dense en O, constitue de diffeomorphismes dont le

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2cef9abd2fb8ec055bf1aa9d2a616ae
https://hal.archives-ouvertes.fr/hal-00175146