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Mixed dynamics in reversible maps with gure-8 homoclinic connections
dc.contributor.author | Delshams Valdés, Amadeu |
dc.contributor.author | Gonchenko, Sergey |
dc.contributor.author | Lázaro Ochoa, José Tomás |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2015-04-08T09:40:14Z |
dc.date.available | 2015-04-08T09:40:14Z |
dc.date.created | 2014 |
dc.date.issued | 2014 |
dc.identifier.citation | Delshams, A.; Gonchenko, S.; Lazaro, J. Tomás. Mixed dynamics in reversible maps with gure-8 homoclinic connections. A: Hamiltonian Dynamics, Nonautonomous Systems,and Patterns in PDE's. "International Conference-School Hamiltonian dynamics, non-autonomous systems and patterns in PDE's". Nizhni Novgorod: 2014. |
dc.identifier.uri | http://hdl.handle.net/2117/27151 |
dc.description.abstract | We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of rev ersible maps unfolding generally the initial heteroclinic tangency and prove that there are infinitely sequences (cascades) of bifurcations of birth of asymptotically stable and unstable as well as elliptic periodic orbits. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Differentiable dynamical systems |
dc.title | Mixed dynamics in reversible maps with gure-8 homoclinic connections |
dc.type | Conference report |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.contributor.group | Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC |
dc.relation.publisherversion | http://arxiv.org/abs/1201.5357v1 |
dc.rights.access | Open Access |
local.identifier.drac | 15543432 |
dc.description.version | Postprint (published version) |
local.citation.author | Delshams, A.; Gonchenko, S.; Lazaro, J. Tomás |
local.citation.contributor | Hamiltonian Dynamics, Nonautonomous Systems,and Patterns in PDE's |
local.citation.pubplace | Nizhni Novgorod |
local.citation.publicationName | International Conference-School Hamiltonian dynamics, non-autonomous systems and patterns in PDE's |