Periodic orbits of linear endomorphisms on the 2-torus and its lattices

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dc.creatorBaake, Michael
dc.creatorRoberts, John A. G.
dc.creatorWeiss, Alfred
dc.date2008-08-26
dc.date.accessioned2026-07-07T10:07:21Z
dc.date.available2026-07-07T10:07:21Z
dc.descriptionCounting periodic orbits of endomorphisms on the 2-torus is considered, with special focus on the relation between global and local aspects and between the dynamical zeta function on the torus and its analogue on finite lattices. The situation on the lattices, up to local conjugacy, is completely determined by the determinant, the trace and a third invariant of the matrix defining the toral endomorphism.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0808.3489
dc.identifierhttp://arxiv.org/abs/0808.3489
dc.identifierNonlinearity 21 (2008) 2427-2446
dc.identifierdoi:10.1088/0951-7715/21/10/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170605
dc.subjectDynamical Systems
dc.subject37E30, 05A15
dc.titlePeriodic orbits of linear endomorphisms on the 2-torus and its lattices
dc.typetext

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