A global perspective for non-conservative dynamics
J. Palis (2005)
Annales de l'I.H.P. Analyse non linéaire
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J. Palis (2005)
Annales de l'I.H.P. Analyse non linéaire
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Pujals, Enrique R., Sambarino, Martín (2000)
Annals of Mathematics. Second Series
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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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Christian Bonatti, Lorenzo J. Díaz (2003)
Publications Mathématiques de l'IHÉS
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Sheldon E. Newhouse (1979)
Publications Mathématiques de l'IHÉS
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Sergio Plaza, Jaime Vera (1997)
Annales de l'I.H.P. Analyse non linéaire
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