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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.

eISSN:
2300-133X
ISSN:
2081-545X
Język:
Angielski
Częstotliwość wydawania:
Volume Open
Dziedziny czasopisma:
Mathematics, General Mathematics