2026-04-17T00:59:25Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4527412024-06-06T09:48:09Zcom_2072_98col_2072_378195

00925njm 22002777a 4500 dc Delshams, Amadeu author Huguet, Gemma author Centre de Recerca Matemàtica author 2010 In this paper we consider a representative a priori unstable Hamiltonian system with 2+1/2 degrees of freedom, to which we apply the geometric mechanism for diffusion introduced in the paper Delshams et al., Mem.Amer.Math. Soc. 2006, and generalized in Delshams and Huguet, Nonlinearity 2009, and provide explicit, concrete and easily verifiable conditions for the existence of diffusing orbits. The simplification of the hypotheses allows us to perform explicitly the computations along the proof, which contribute to present in an easily understandable way the geometric mechanism of diffusion. In particular, we fully describe the construction of the scattering map and the combination of two types of dynamics on a normally hyperbolic invariant manifold. Hamilton, Sistemes de Difusió A geometric mechanism of diffusion: Rigorous verification in a priori unstable Hamiltonian systems