Titlebook: Numerical Modeling of Concrete Cracking; Günter Hofstetter,Günther Meschke Book 2011 CISM Udine 2011 Discrete crack model.embedded discont

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G. Hofstetter,C. Feist,H. Lehar,Y. Theiner,B. Valentini,B. Winklerimilar classical result, the Smale-Birkhoff homoclinic theorem for smooth o.d.eqns, based on the existence of Smale’s horseshoe which is a consequence of a transversal intersection of stable and unstable manifolds of a hyperbolic fixed point of a diffeomorphism. When the smoothness of an o.d.eqn is

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Ignacio Carol,Andrés Idiart,Carlos López,Antonio Caballeroof the Scientific Division of NATO, the European Science Foundation and the CNRS, represents a key event of this ESF network. It brought together participants f978-0-7923-6205-0978-94-011-4106-2Series ISSN 1389-2185

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Alfredo E. Huespe,Javier Oliverhavior of a diffeomorphism near that intersection. The aim of this section is to give an answer on this question by extending the Smale-Birkhoff homoclinic theorem in this direction. We show that a topologically transversal intersection of stable and unstable manifolds guaranties chaotic behavior of the diffeomorphism.

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G. Hofstetter,C. Feist,H. Lehar,Y. Theiner,B. Valentini,B. Winklerhavior of a diffeomorphism near that intersection. The aim of this section is to give an answer on this question by extending the Smale-Birkhoff homoclinic theorem in this direction. We show that a topologically transversal intersection of stable and unstable manifolds guaranties chaotic behavior of the diffeomorphism.

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