Si dà una descrizione topologica esplicita degli insiemi ω-limite dei flussi continui in superfici compatte senza frontiera. Alcuni risultati si possono estendere a varietà di dimensione maggiore.
Referenze Bibliografiche
[1]
D. V. ANOSOV,
Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane,
J. Dynam. Control Systems,
1 (
1995), 125-138. |
Zbl 0995.37014[2] F. BALIBREA - V. JIMÉNEZ LÓPEZ, A characterization of the ω-limit sets of planar continuous dynamical sistems, J. Differential Equations, 145 (1996), 469-488.
[3]
V. JIMÉNEZ LÓPEZ -
G. SOLER LÓPEZ,
A topological characterization of ω-limit sets for continuous flows on the projective plane,
Discrete Contin. Dynam. Systems, Added Volume (
2001), 254-258. |
Zbl 1301.37028[4]
V. JIMÉNEZ LÓPEZ -
G. SOLER LÓPEZ,
A characterization of ω-limit sets of nonrecurrent orbits in $\mathbb{S}^n$,
Internat. J. Bifur. Chaos Appl. Sci. Engrg.,
13 (
2003), 1727-1732. |
Zbl 1056.37007[5] V. JIMÉNEZ LÓPEZ - G. SOLER LÓPEZ, Accumulation points of nonrecurrent orbits of surface flows, Topology Appl., 137 (2004), 187-194.
[6]
V. JIMÉNEZ LÓPEZ -
G. SOLER LÓPEZ,
Transitive flows on manifolds,
Rev. Mat. Iberoamericana,
20 (
2004), 107-130. |
fulltext EuDML[7]
R. A. SMITH -
S. THOMAS,
Some examples of transitive smooth flows on differentiable manifolds,
J. London Math. Soc.,
37 (
1988), 552-568. |
Zbl 0634.58025[8]
R. A. SMITH -
S. THOMAS,
Transitive flows on two-dimensional manifolds,
J. London Math. Soc.,
37 (
1988), 569-576. |
Zbl 0634.58026[9] G. SOLER LÓPEZ, Accumulation points of flows on the Klein bottle, Discrete Contin. Dynam. Systems, 9 (2003), 497-503.
[10]
G. SOLER LÓPEZ,
ω-limit sets from nonrecurrent points of flows on manifold,
Topology Appl.,
153 (
2005), 963-974. |
Zbl 1085.37013[11] G. SOLER LÓPEZ, Caracterización topólogica de conjuntos ω-límite sobre variedades, PhD. Thesis, Universidad de Murcia, 2005.
[12] R. E. VINOGRAD, On the limiting behavior of an unbounded integral curve, Moskov. Gos. Univ. Uč. Zap., 155, Mat. 5 (1952), 94-136 (in Russian).
Con il contributo del Ministero per i Beni e le Attività Culturali