Area preserving analytic flows with dense orbits
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URI: http://hdl.handle.net/10317/1194Share
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Matemática AplicadaSponsors
The first author was supported by MERST(Ministery of Higher Education,Scientifc Research and Technology,Tunisia)under the Spanish-Tunisian project,grant A/8322/07.The second one was partially supported by MEC(Ministerio de Educación y Ciencia,Spain)and FEDER(Fondo Europeo de Desarrollo Regional),grant MTM2005- 03868,and Fundación Séneca(Comunidad Autónoma de la Región de Murcia,Spain),grant 00684/PI/04.Publication date
2009-12-14Keywords
Flujos de trabajo analíticoÁrea de conservación de flujo
Órbitas
Densidad de órbita
ω-límite establecido
Analytic flow
Area-preserving flow
Orbit
Dense orbit
ω-limit set
Abstract
The aim of this paper is to give sufficient conditions on area-preserving flows that
guarantee the existence of dense orbits. We also answer a question by M.D. Hirsch
[M.D. Hirsch, Dense recurrence in area-preserving flows on surfaces, Nonlinearity 12 (1999)
1545–1553]. The results of this work are a generalization of the ones in [M.D. Hirsch, Dense
recurrence in area-preserving flows on surfaces, Nonlinearity 12 (1999) 1545–1553] and
[H. Marzougui, Area preserving flows with a dense orbit, Nonlinearity 15 (2002) 1379–
1384].
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