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On a Very Steep Version of the Standard Map

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ABSTRACT We consider the long-time behavior of the trajectories of the discontinuous analog of the standard Chirikov map. We prove that for some values of parameters all the trajectories remain… Click to show full abstract

ABSTRACT We consider the long-time behavior of the trajectories of the discontinuous analog of the standard Chirikov map. We prove that for some values of parameters all the trajectories remain bounded for all time. For other set of parameters we provide an estimate for the escape rate for the trajectories and present a numerically supported conjecture for the actual escape rate.

Keywords: steep version; standard map; version standard; map

Journal Title: Experimental Mathematics
Year Published: 2018

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