dc.contributor.author | Maró, Stefano | |
dc.contributor.author | Sorrentino, Alfonso | |
dc.date.accessioned | 2024-01-17T16:14:59Z | |
dc.date.available | 2024-01-17T16:14:59Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Communications in Mathematical Physics, 354, p. 775–808 (2017); doi:10.1007/s00220-017-2900-3 | |
dc.identifier.uri | https://hdl.handle.net/10651/70873 | |
dc.description.abstract | In this article we develop an analogue of Aubry–Mather theory for a class of
dissipative systems, namely conformally symplectic systems, and prove the existence of
interesting invariant sets, which, in analogy to the conservative case, will be called the
Aubry and the Mather sets. Besides describing their structure and their dynamical significance,
we shall analyze their attracting/repelling properties, as well as their noteworthy
role in driving the asymptotic dynamics of the system. | spa |
dc.description.sponsorship | We would like to express our gratitude to Alessandra Celletti for her interest in this work
and for many fruitful discussions. SM acknowledges the support of Marie Curie Initial Training Network
Stardust, FP7-PEOPLE-2012-ITN, Grant Agreement 317185. AS has been partially supported by the PRIN-
2012-74FYK7 grant “Variational and perturbative aspects of nonlinear differential problem”. | spa |
dc.format.extent | p. 775 - 808 | spa |
dc.language.iso | eng | spa |
dc.publisher | Springer Nature | spa |
dc.relation.ispartof | Communications in Mathematical Physics, 354(2) | spa |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | © Springer Nature | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Aubry–Mather Theory for Conformally Symplectic Systems | spa |
dc.type | journal article | spa |
dc.identifier.doi | 10.1007/s00220-017-2900-3 | |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/317185/EU | spa |
dc.relation.publisherversion | https://dx.doi.org/10.1007/s00220-017-2900-3 | |
dc.rights.accessRights | open access | spa |
dc.type.hasVersion | AM | spa |