Markov structures and decay of correlations for non-uniformly expanding dynamical systems
José F. Alves, Stefano Luzzatto, Vilton Pinheiro (2005)
Annales de l'I.H.P. Analyse non linéaire
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José F. Alves, Stefano Luzzatto, Vilton Pinheiro (2005)
Annales de l'I.H.P. Analyse non linéaire
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Jérôme Droniou, Thierry Gallouët (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We prove the convergence of a finite volume method for a noncoercive linear elliptic problem, with right-hand side in the dual space of the natural energy space of the problem.
Sergei A. Dovbysh (1999)
Collectanea Mathematica
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It is well-known that the existence of transversally intersecting separatrices of hyperbolic periodic solutions leads, in a typical situation, to complicated and irregular dynamics. Therefore, in the case of a two-dimensional mapping or a three-dimensional flow, with this transversality property, there is no non-trivial analytic or meromorphic first integral, i.e., a function constant along each trajectory of the system under consideration. Additional robust conditions are obtained and...
Viviane Baladi, Sébastien Gouëzel (2009)
Annales de l'I.H.P. Analyse non linéaire
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Lee, Keon-Hee (2001)
Journal of Inequalities and Applications [electronic only]
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M. Baldomà, E. Fontich (1998)
Applicationes Mathematicae
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We consider perturbations of n-dimensional maps having homo-heteroclinic connections of compact normally hyperbolic invariant manifolds. We justify the applicability of the Poincaré-Melnikov method by following a geometric approach. Several examples are included.
Olivier Gues, Jeffrey Rauch (2005-2006)
Séminaire Équations aux dérivées partielles
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Semilinear hyperbolic problems with source terms piecewise smooth and discontinuous across characteristic surfaces yield similarly piecewise smooth solutions. If the discontinuous source is replaced with a smooth transition layer, the discontinuity of the solution is replaced by a smooth internal layer. In this paper we describe how the layer structure of the solution can be computed from the layer structure of the source in the limit of thin layers. The key idea is to use a transmission...
Sheldon E. Newhouse (1979)
Publications Mathématiques de l'IHÉS
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