Asymptotic period in dynamical systems in metric spaces

Karol Gryszka

Displaying similar documents to “Asymptotic period in dynamical systems in metric spaces”

Remarks on some generalizations of asymptotic periodicity in dynamical systems on metric spaces

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This paper discusses the asymptotic behavior of solutions of the Liénard equation, especially the global behavior of unbounded solutions, and also gives a class of sufficient and necessary conditions for the orbit of a solution to intersect the vertical isocline.

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2000 Mathematics Subject Classification: 37D40. We explain why the lengths of the closed orbits in a certain class of open billiards are asymptotically equidistributed with respect to the number of their reflections.

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Kuo-Liang Chiou (1974)

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Properties of dynamical systems with the asymptotic average shadowing property

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This article investigates under what conditions nontransitivity can coexist with the asymptotic average shadowing property. We show that there is a large class of maps satisfying both conditions simultaneously and that it is possible to find such examples even among maps on a compact interval. We also study the limit shadowing property and its relation to the asymptotic average shadowing property.