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- W1143138046 abstract "We numerically explore Slater’s theorem in the context of dynamical systems to study the breakup of invariant curves. Slater’s theorem states that an irrational translation over a circle returns to an arbitrary interval in at most three different recurrence times expressible by the continued fraction expansion of the related irrational number. The hypothesis considered in this paper is that Slater’s theorem can be also verified in the dynamics of invariant curves. Hence, we use Slater’s theorem to develop a qualitative and quantitative numerical approach to determine the breakup of invariant curves in the phase space of area-preserving maps." @default.
- W1143138046 created "2016-06-24" @default.
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- W1143138046 date "2015-07-01" @default.
- W1143138046 modified "2023-09-27" @default.
- W1143138046 title "On Slater’s criterion for the breakup of invariant curves" @default.
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- W1143138046 doi "https://doi.org/10.1016/j.physd.2015.06.005" @default.
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