A metaphor for adiabatic evolution to symmetry

Details A metaphor for adiabatic evolution to symmetry A metaphor for adiabatic evolution to symmetry

1995-08-11

arxiv.org/abs/chao-dyn/9508004v1

Nonlinear Sciences

Chaotic Dynamics

27 pages, LaTeX 2e, 8 figures included

Scientific paper

In 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.

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