Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-24T19:03:39.578Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Remarks Concerning the Topological Characterization of Limit Sets for Surface Flows

Published online by Cambridge University Press:  20 November 2018

Habib Marzougui
Habib Marzougui*
Affiliation:
University of 7th November at Carthage, Faculty of Science of Bizerte, Department of Mathematics, 7021 Zarzouna, Tunisiae-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give some extension to theorems of Jiménez López and Soler López concerning the topological characterization for limit sets of continuous flows on closed orientable surfaces.

Keywords

37B2037E35flows on surfacesorbitsclass of an orbitsingularitiesminimal setlimit setregular cylinder
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 2 , 01 June 2011 , pp. 311 - 315
Copyright
Copyright © Canadian Mathematical Society 2011

References

[1] Aranson, S. Kh., Belitsky, G. R. and Zhuzhoma, E. V., Introduction to the qualitative theory of dynamical systems on surfaces. Trans. Math. Monographs 153, Amer. Math. Soc., 1996.Google Scholar
[2] Athanassoupolos, K., The flow near non-trivial minimal sets on 2-manifolds. Math. Proc. Phil. Soc. 108(1990), 569–573.Google Scholar
[3] Godbillon, C., Dynamical systems on surfaces. Springer-Verlag, 1983.Google Scholar
[4] Haefliger, A., Variétés feuilletées. Ann. Scuola Norm. Sup. Pisa 16(1962), 367–397.Google Scholar
[5] López, V. Jiménez and López, G. Soler, Transitive flows on manifolds. Rev. Mat. Iberoamericana 20(2004), 107–130.Google Scholar
[6] López, V. Jiménez and López, G. Soler, Accumulation points of nonrecurrent orbits of surface flows. Topology Appl. 137(2003), 187–194. doi:10.1016/S0166-8641(03)00208-6Google Scholar
[7] López, V. Jiménez and López, G. Soler, Empty interior recurrence for continuous flows on surfaces. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 20(2010), 2897–2913. doi:10.1142/S0218127410027441Google Scholar
[8] Marzougui, H., Structure des feuilles sur les surfaces ouvertes. C. R. Acad. Sci. Paris Sér. I 323(1996), 185–188.Google Scholar
[9] Marzougui, H., Structure of foliations on 2-manifolds. Illinois J. Math. 42(1998), 398–405.Google Scholar