On asymptotically periodic-like motions in flows

Karol Gryszka

Abstract


We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, positive asymptotic periodicity and G-asymptotic periodicity. We determine which implications between these notions hold and which do not. We also show how these notions are related to Lyapunov stability.

Keywords


periodicity; asymptotic periodicity; stability

Mathematics Subject Classification (2010)


Primary: 37C25, 34D05; Secondary: 34C99, 37C75.

References


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