Chord diagrams in the classification of Morse-Smale flows on 2-manifolds

Leonid Plachta

Banach Center Publications (1998)

  • Volume: 42, Issue: 1, page 255-273
  • ISSN: 0137-6934

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Plachta, Leonid. "Chord diagrams in the classification of Morse-Smale flows on 2-manifolds." Banach Center Publications 42.1 (1998): 255-273. <http://eudml.org/doc/208811>.

@article{Plachta1998,
author = {Plachta, Leonid},
journal = {Banach Center Publications},
keywords = {surface Morse-Smale flows; chord diagrams; Peixoto graphs},
language = {eng},
number = {1},
pages = {255-273},
title = {Chord diagrams in the classification of Morse-Smale flows on 2-manifolds},
url = {http://eudml.org/doc/208811},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Plachta, Leonid
TI - Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
JO - Banach Center Publications
PY - 1998
VL - 42
IS - 1
SP - 255
EP - 273
LA - eng
KW - surface Morse-Smale flows; chord diagrams; Peixoto graphs
UR - http://eudml.org/doc/208811
ER -

References

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  1. [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. 
  2. [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. Zbl0785.34004
  3. [3] J. S. Birman and X.-S. Lin, Knot polynomials and Vassilev's invariants, Invent. Math. 111 (1993), 225-270. Zbl0812.57011
  4. [4] D. B. A. Epstein, Curves on 2-manifolds and isotopies, Acta Math. 115 (1966), 83-107. Zbl0136.44605
  5. [5] H. A. Girik, Vector fields on two-dimensional manifolds, Ph.D. thesis, Institute of Mathematics, Kiev, 1994. Zbl0830.57017
  6. [6] K. R. Meyer, Energy functions for Morse-Smale systems, Amer. J. Math. 90 (1968), 1031-1040. Zbl0219.58004
  7. [7] J. Pallis and W. de Melo, Geometric Theory of Dynamical Systems. An Introduction, Springer, New York, 1982. 
  8. [8] M. Peixoto, On the classification of flows on two manifolds, in: Dynamical Systems, M. Peixoto (ed.), Academic Press, 1973, 389-419. 
  9. [9] M. Polyak and O. Viro, Gauss diagram formulas for Vassiliev invariants, Internat. Math. Res. Notes, 1994, N11, 445-453. Zbl0851.57010
  10. [10] C. P. Rourke and B. J. Sanderson, Introduction to the Piecewise-Linear Topology, Springer, Berlin, 1972. Zbl0254.57010
  11. [11] V. V. Sharko, Topological aspects of dynamical systems, Ukr. Math. Zh. 44 (1992), 134-142. Zbl0755.58032
  12. [12] H. Zieschang, E. Vogt and H.-D. Coldewey, Surfaces and planar discontinuous groups, Springer, Berlin, 1980. Zbl0438.57001

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