A "No-Go" Theorem for the Existence of an Action Principle for Discrete Invertible Dynamical Systems

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dc.creatorCaterina, Gianluca
dc.creatorBoghosian, Bruce
dc.date2006-11-29
dc.date.accessioned2026-07-07T07:33:38Z
dc.date.available2026-07-07T07:33:38Z
dc.descriptionIn this paper we study the problem of the existence of a least-action principle for invertible, second-order dynamical systems, discrete in time and space. We show that, when the configuration space is finite, a least-action principle does not exist for such systems. We dichotomize discrete dynamical systems with infinite configuration spaces into those of finite type for which this theorem continues to hold, and those not of finite type for which it is possible to construct a least-action principle. We also show how to recover an action by restriction of the phase space of certain second-order discrete dynamical systems. We provide numerous examples to illustrate each of these results.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/nlin/0611058
dc.identifierhttp://arxiv.org/abs/nlin/0611058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119527
dc.subjectCellular Automata and Lattice Gases
dc.titleA "No-Go" Theorem for the Existence of an Action Principle for Discrete Invertible Dynamical Systems
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