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

Unbounded solutions of positively damped Liénard equations

Changming Ding (1996)

Annales Polonici Mathematici

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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.

Properties of dynamical systems with the asymptotic average shadowing property

Marcin Kulczycki, Piotr Oprocha (2011)

Fundamenta Mathematicae

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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.