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Global attractors of analytic plane flows

Published online by Cambridge University Press:  01 June 2009

VÍCTOR JIMÉNEZ LÓPEZ  and
DANIEL PERALTA-SALAS
VÍCTOR JIMÉNEZ LÓPEZ
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain (email: vjimenez@um.es)
DANIEL PERALTA-SALAS
Affiliation:
Departamento de Matemáticas, Universidad Carlos III, 28911 Leganés, Spain (email: dperalta@math.uc3m.es)
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Abstract

In this paper the global attractors of analytic and polynomial plane flows are characterized up to homeomorphisms. Following on from previous results for continuous and differentiable dynamical systems, our theorem completes the characterization of the global attractors of plane flows.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 3 , June 2009 , pp. 967 - 981
Copyright
Copyright © Cambridge University Press 2009

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