Centralizers of Anosov diffeomorphisms on tori
J. Palis, J.-C. Yoccoz (1989)
Annales scientifiques de l'École Normale Supérieure
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J. Palis, J.-C. Yoccoz (1989)
Annales scientifiques de l'École Normale Supérieure
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Sheldon E. Newhouse (1979)
Publications Mathématiques de l'IHÉS
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J. Palis (2005)
Annales de l'I.H.P. Analyse non linéaire
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Jacob Palis, Jean-Christophe Yoccoz (2009)
Publications Mathématiques de l'IHÉS
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In the present paper, we advance considerably the current knowledge on the topic of bifurcations of heteroclinic cycles for smooth, meaning C ∞, parametrized families {g t ∣t∈ℝ} of surface diffeomorphisms. We assume that a quadratic tangency q is formed at t=0 between the stable and unstable lines of two periodic points, not belonging to the same orbit, of a (uniformly hyperbolic) horseshoe K (see an example at the Introduction) and that such lines cross each other with positive relative...
Ricardo Mañé (1987)
Publications Mathématiques de l'IHÉS
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C. A Morales (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We use the theory of partially hyperbolic systems [HPS] in order to find singularities of index for vector fields with isolated zeroes in a -ball. Indeed, we prove that such zeroes exists provided the maximal invariant set in the ball is partially hyperbolic, with volume expanding central subbundle, and the strong stable manifolds of the singularities are unknotted in the ball.
Eduardo Colli (1998)
Annales de l'I.H.P. Analyse non linéaire
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