Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Plachta, Leonid
Banach Center Publications, Tome 43 (1998), p. 255-273 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208811
@article{bwmeta1.element.bwnjournal-article-bcpv42i1p255bwm,
     author = {Plachta, Leonid},
     title = {Chord diagrams in the classification of Morse-Smale flows on 2-manifolds},
     journal = {Banach Center Publications},
     volume = {43},
     year = {1998},
     pages = {255-273},
     zbl = {1005.37503},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv42i1p255bwm}
}
Plachta, Leonid. Chord diagrams in the classification of Morse-Smale flows on 2-manifolds. Banach Center Publications, Tome 43 (1998) pp. 255-273. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv42i1p255bwm/

[000] [1] S. H. Aranson and V. Z. Grines, Flows on two-dimensional manifolds, in: Dynamical Systems-I, B. V. Anosov (ed.), Contemporary Problems of Mathematics, Vol. 1, VINITI, Moscow, 1985, 229-237.

[001] [2] N. N. Bautin and E. A. Leontovich, Methods and Ways of the Qualitative Analysis of Dynamical Systems in a Plane, sec. ed., Nauka, Moscow, 1990. | Zbl 0785.34004

[002] [3] J. S. Birman and X.-S. Lin, Knot polynomials and Vassilev's invariants, Invent. Math. 111 (1993), 225-270. | Zbl 0812.57011

[003] [4] D. B. A. Epstein, Curves on 2-manifolds and isotopies, Acta Math. 115 (1966), 83-107. | Zbl 0136.44605

[004] [5] H. A. Girik, Vector fields on two-dimensional manifolds, Ph.D. thesis, Institute of Mathematics, Kiev, 1994. | Zbl 0830.57017

[005] [6] K. R. Meyer, Energy functions for Morse-Smale systems, Amer. J. Math. 90 (1968), 1031-1040. | Zbl 0219.58004

[006] [7] J. Pallis and W. de Melo, Geometric Theory of Dynamical Systems. An Introduction, Springer, New York, 1982.

[007] [8] M. Peixoto, On the classification of flows on two manifolds, in: Dynamical Systems, M. Peixoto (ed.), Academic Press, 1973, 389-419.

[008] [9] M. Polyak and O. Viro, Gauss diagram formulas for Vassiliev invariants, Internat. Math. Res. Notes, 1994, N11, 445-453. | Zbl 0851.57010

[009] [10] C. P. Rourke and B. J. Sanderson, Introduction to the Piecewise-Linear Topology, Springer, Berlin, 1972. | Zbl 0254.57010

[010] [11] V. V. Sharko, Topological aspects of dynamical systems, Ukr. Math. Zh. 44 (1992), 134-142. | Zbl 0755.58032

[011] [12] H. Zieschang, E. Vogt and H.-D. Coldewey, Surfaces and planar discontinuous groups, Springer, Berlin, 1980. | Zbl 0438.57001