19. A. V. Pokrovskii, S. J. Szybka, J. G. McInerney
Topological Degree in Locating Homoclinic Structures for Discrete Dynamical Systems
Izv. Ross. Akad. Estestv. Nauk Mat., vol. 5, pp. 152-183 (2001).
[abstract] [preprint] [journal]

Abstract:
A method of applying topological degree theory to analysis of chaotic behaviour of dynamical systems is described. The scheme combines one suggested by P. Zgliczynski with the method of topological shadowing. As an illustration a Henon mapping with a homoclinic tangency is considered.