a Fac. Ciências de Lisboa e Centro de Matemática e Aplicações Fundamentais, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal b University of Udine, Department of Mathematics and Computer Science, via delle Scienze 206, 33100 Udine, Italy
Abstract:
We present a simple topological approach for the search of fixed points and the detection of chaotic dynamics for two-dimensional maps satisfying a twist condition on linked annuli. Applications to planar Hamiltonian systems are given.