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On the topological dynamics and phase-locking renormalization of Lorenz-Like maps
dc.contributor.author | Alseda Soler, Lluís |
dc.contributor.author | Falcó, A. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-04-30T09:19:27Z |
dc.date.available | 2007-04-30T09:19:27Z |
dc.date.created | 2000 |
dc.date.issued | 2000 |
dc.identifier.uri | http://hdl.handle.net/2117/811 |
dc.description.abstract | The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz--like maps considered as a map of the circle of degree one with one discontinuity. In a second step we will consider the subclass of the Lorenz-- like maps generated by the class of Lorenz maps in the interval. For this class of maps we give a characterization of the set of renormalizable maps with rotation interval degenerate to a rational number, that is, of phase--locking renormalizable maps. This characterization is given by showing the equivalence between the geometric renormalization procedure and the combinatorial one (which is expressed in terms of an $*$--like product defined in the set of kneading invariants). Finally, we will prove the existence, at a combinatorial level, of periodic points of all periods for the renormalization map. |
dc.format.extent | 18 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Dynamical systems |
dc.subject.lcsh | Topological dynamics |
dc.subject.other | Lorenz maps |
dc.subject.other | circle maps |
dc.subject.other | kneading theory |
dc.title | On the topological dynamics and phase-locking renormalization of Lorenz-Like maps |
dc.type | Article |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37B Topological dynamics |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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