The Hilbert-Arnold Problem and an Estimate of the Cyclicity of Polycycles on the Plane and in Space

Functional Analysis and its Applications

Volumn 35, Issue 2, 2001, Pages 146-147

  Kaloshin, V Yu ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035596137     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017587401377     Document Type: Article

References (9)

1. D. Anosov and V. Arnold, Dynamical Systems I, Encyclopedia Math. Sci., Vol. 1, Springer-Verlag, Berlin, 1988.
2. V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko, Singularitites of Differentiable Maps, Vol. I, Monographs in Math., Vol. 82, Birkhauser, Boston, 1985.
3. A. Grigoriev and S. Yakovenko, J. Diff. Equations, 150, No. 2, 349-362 (1998).
4. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, Appl. Math. Sci., Vol. 42, Springer-Verlag, New York-Berlin, 1983.
5. Yu. Ilyashenko and S. Yakovenko, Usp. Mat. Nauk, 46, No. 1 (277), 3-39 (1991).
6. Yu. Ilyashenko and S. Yakovenko, In: Amer. Math. Soc. Transl. Ser. 2, Vol. 165, Amer. Math. Soc., Providence, RI, 1995, pp. 1-20, 21-95.
7. Yu. Ilyashenko and V. Kaloshin, In: Proceedings of the Arnoldfest, Fields Inst. Comm., Vol. 24, Amer. Math. Soc, 1999, pp. 241-271.
8. A. Khovasnkii, Fewnomials, Transl. Math. Monographs, Vol. 8, Amer. Math. Soc., Providence, RI, 1991.
9. L. Shilnikov, Dokl. Acad. Nauk USSR, 160, 558-561 (1965).