A metaphor for adiabatic evolution to symmetry

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dc.creatorHuveneers, R. J. A. G.
dc.creatorVerhulst, F.
dc.date1995-08-11
dc.date.accessioned2026-07-07T09:07:48Z
dc.date.available2026-07-07T09:07:48Z
dc.descriptionIn this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested in the effects on the dynamics when the potential becomes symmetric slowly in time. We focus on a highly simplified non-trivial model problem (a metaphor) to be able to pursue explicit calculations as far as possible. Using the techniques of averaging and adiabatic invariants, we are able to study all bounded solutions, which reveals significant asymmetric dynamics even when the asymmetric contributions to the potential have become negligibly small.
dc.description27 pages, LaTeX 2e, 8 figures included
dc.identifierhttps://arxiv.org/abs/chao-dyn/9508004
dc.identifierhttp://arxiv.org/abs/chao-dyn/9508004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150499
dc.subjectChaotic Dynamics
dc.titleA metaphor for adiabatic evolution to symmetry
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