References
V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer-Verlag, New York, 1983.
D. V. Anosov, Geodesic Flows on Closed Riemann Surfaces of Negative Curvature, Trudy Mat. Inst. Steklov,90, 1967.
D. K. Arrowsmith, J. H. E. Cartwright, A. N. Lansbury, and C. M. Place, Internat. J. Bifurcation and Chaos,3, No. 4, 803–842 (1993).
R. I. Bogdanov, Local Orbital Equivalence of Vector Fields on a Plane [in Russian], Izdat. Moskov. Univ., 1993.
Yu. S. Il'yashenko and S. Yu. Yakovenko, Usp. Mat. Nauk,46, No. 1, 3–40 (1991).
Additional information
Supported in part by the International Science Foundation and the Government of Russia under grant M98300 and by the Russian Foundation for Basic Research under grant No. 95-01-00229a.
Moscow State University, Nuclear Physics Institute; e-mail: bogdanov@bogdan.npi.msu.su. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 31, No. 2, pp. 67–70, April–June, 1997.
Translated by A. I. Shtern
Rights and permissions
About this article
Cite this article
Bogdanov, R.I. Factorization of diffeomorphisms over phase portraits of vector fields on the plane. Funct Anal Its Appl 31, 126–128 (1997). https://doi.org/10.1007/BF02466018
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02466018