Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/127430

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
dc.contributor	Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author	Cabré Vilagut, Xavier
dc.contributor.author	Delshams Valdés, Amadeu
dc.contributor.author	Gidea, Marian
dc.contributor.author	Zeng, Chongchun
dc.date	2018-12-01
dc.identifier.citation	Cabre, X., Delshams, A., Gidea, M., Zeng, C. Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems. "Discrete and continuous dynamical systems. Series A", 1 Desembre 2018, vol. 38, núm. 12, p. 6047-6072.
dc.identifier.citation	1078-0947
dc.identifier.citation	10.3934/dcds.201812i
dc.identifier.uri	http://hdl.handle.net/2117/127430
dc.language.iso	eng
dc.publisher	American Institute of Mathematical Sciences
dc.relation	http://aimsciences.org//article/doi/10.3934/dcds.2018261
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Hamiltonian systems
dc.subject	Differentiable dynamical systems
dc.subject	Arnold diffusion
dc.subject	normally hyperbolic invariant manifolds
dc.subject	scattering maps.
dc.subject	Sistemes hamiltonians
dc.subject	Sistemes dinàmics diferenciables
dc.title	Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.
dc.description.abstract	Peer Reviewed

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