Topological classification of quadratic systems at infinity

Journal of the London Mathematical Society

Volumn 55, Issue 3, 1997, Pages 473-488

  Nikolaev, Igor ^a   Vulpe, Nicolae ^b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b Mathematical Institute   (Moldova)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031156397     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610796004735     Document Type: Article

References (8)

1. A. A. ANDRONOV, E. A. LEONTOVICH, I. I. GORDON and A. L. MAYER, Qualitative theory of second-order dynamical systems (John Wiley, New York, 1973).
2. V. A. BALTAG and N. I. VULPE, 'Affine-invariant conditions for determining the number and multiplicity of singular points of quadratic differential systems', Izv. Akad. Nauk Moldav. SSR Mat. 1 (1993) 39-48.
3. B. COLL, 'Estudi qualitatiu d'algunes classes de camps vectorials al pla', Tesi Doctoral, Umversidad Autonoma de Barcelona, 1987.
4. I. V. NIKOLAEV, 'Comitants and singular points of quadratic systems', Ph.D. Thesis, Odessa University, 1989.
5. J. W. REYN, 'A bibliography of qualitative theory of quadratic systems of differential equations in the plane', third edition, Report 94-02, Faculty of Technical Mathematics and Informatics, Delft University of Technology (1994).
6. J. W. REYN and R. E. KOOIJ, 'Infinite singular points of quadratic systems in the plane', Nonlinear Analysis, Theory Methods and Applications 24 (1995) 895-927.
7. K. S. SIBIRSKY, Introduction to the algebraic theory of invariants of differential equations, Manchester University, 1988.
8. A. P. VOROBIEV, 'The behaviour of integral curves in the vicinity of the infinite point', Vestsi Akad. Navuk Belorus SSR Ser. Fiz.-Tech. Navuk 2 (1961) 20-30.