A Hamiltonian system perturbed by two waves with particular wave numbers can present robust tori, which are barriers created by the vanishing of the perturbed Hamiltonian at some defined positions. When robust tori exist, any trajectory in phase space passing close to them is blocked by emergent invariant curves that prevent the chaotic transport. Our results indicate that the considered particular solution for the two waves Hamiltonian model shows plenty of robust tori blocking radial transport. (C) 2010 Elsevier B.V. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq
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Abstract. The existence of invariant tori in nearly{integrable Hamiltonian systems is investi-gated....
Invariant tori are prominent features of symplectic and volume preserving maps. From the point of vi...
The main principle of this thesis is to employ the geometric representation of Hamiltonian dynamics:...
In general the term "Lagrangian coherent structure" (LCS) is used to make reference about structures...
KAM-tori are well known to be that (finite!) part of phase space in which the motion of a weakly per...
Chaotic transport in a Hamiltonian system perturbed by a weak turbulent wave field is studied. It is...
We study a dynamical system which describes the overlap of resonances in a global integrable context...
AbstractIn general the term “Lagrangian coherent structure” (LCS) is used to make reference about st...
The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase spac...
International audienceWe show that the peculiar topological properties inherent to singular tori pla...
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We generalize to some PDEs a theorem by Eliasson and Nekhoroshev on the persistence of invariant tor...
The existence of invariant tori in nearly integrable Hamiltonian systems is investigated. We focus o...
Critical exponents that describe a transition from integrability to non-integrability in a two-dimen...
Some dynamic properties for a light ray suffering specular reflections inside a periodically corruga...
Abstract. The existence of invariant tori in nearly{integrable Hamiltonian systems is investi-gated....
Invariant tori are prominent features of symplectic and volume preserving maps. From the point of vi...
The main principle of this thesis is to employ the geometric representation of Hamiltonian dynamics:...