caa a22 4500 388108703 CHVBK 20180307125347.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500019314 doi S0308210500019314 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500019314 Buffoni B. Département de mathématiques, Ecole Polytechnique Fédérate de Lausanne, 1015 Lausanne, Switzerland (Boris.Buffoni@epfl.ch) Shooting methods and topological transversality [Elektronische Daten] [B. Buffoni] We show that shooting methods for homoclinic or heteroclinic orbits in dynamical systems may automatically guarantee the topological transversality of the stable and unstable manifolds. The interest of such results is twofold. First, these orbits persist under perturbations which destroy the structure allowing the shooting method and, second, topological transversality is often sufficient when some kind of transversality is required to obtain chaotic dynamics. We shall focus on heteroclinic solutions in the extended Fisher-Kolmogorov equation. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/6(1999), 1137-1155 0308-2105 129:6<1137 1999 129 PRM https://doi.org/10.1017/S0308210500019314 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500019314 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Buffoni B. Département de mathématiques, Ecole Polytechnique Fédérate de Lausanne, 1015 Lausanne, Switzerland (Boris.Buffoni@epfl.ch) NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/6(1999), 1137-1155 0308-2105 129:6<1137 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge