caa a22 4500 445345268 CHVBK 20180317142827.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00233-011-9334-6 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9334-6 Souza Josiney Departamento de Matemática, Universidade Estadual de Maringá, Cx. Postal 331, 87.020-900, Maringá, PR, Brazil aut Recurrence Theorem for Semigroup Actions [Elektronische Daten] [Josiney Souza] In this article the notion of Poincaré recurrence for semigroup actions is introduced. It recovers the well-known concept of recurrence in dynamical systems. The Poincaré recurrence theorem is extended from the setting of flows on metric spaces to the setting of semigroup actions on metric spaces. The results are applied to control systems and semigroups acting on fiber bundles. Springer Science+Business Media, LLC, 2011 Semigroup action nationallicence Poincaré recurrence nationallicence Birkhoff center nationallicence Chain recurrence nationallicence Fiber bundle nationallicence Control systems nationallicence Semigroup Forum Springer-Verlag 83/3(2011-12-01), 351-370 0037-1912 83:3<351 2011 83 233 https://doi.org/10.1007/s00233-011-9334-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9334-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Souza Josiney Departamento de Matemática, Universidade Estadual de Maringá, Cx. Postal 331, 87.020-900, Maringá, PR, Brazil aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/3(2011-12-01), 351-370 0037-1912 83:3<351 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer