# Evolution to symmetry

@inproceedings{Verhulst2021EvolutionTS, title={Evolution to symmetry}, author={Ferdinand Verhulst}, year={2021} }

A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltonian. We choose the case where initially the Hamiltonian derives from a general cubic potential, the linearised system has frequencies 1 and ω > 0. The time-dependence produces slow evolution to discrete (mirror) symmetry in one of the degrees-of-freedom. This changes the dynamics drastically depending on the frequency ratio ω and the timescale of evolution. We analyse the cases ω = 1, 2, 3 where…

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