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

• Autorzy: Leonid Plachta
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 42
• Numer: 1
• Strony: 255-273

Daty

wydano

1998

Twórcy

autor

Leonid Plachta

• Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Naukova 3b, 290053 Lviv, Ukraine

Bibliografia

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