Quadratic and cubic systems with degenerate infinity

Journal of Mathematical Analysis and Applications

Volumn 198, Issue 1, 1996, Pages 25-34

  Gasull, A ^a   Prohens, R ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584355     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0065     Document Type: Article

References (10)

1. 1. M. Carbonell and J. Llibre, Limit cycles of polynomial systems with homogeneous non-linearities, J. Math. Anal. Appl. 142, No. 2 (1989), 573-590.
2. 2. G.-Q. Chen and Z.-J. Liang, Affine classification for the quadratic vector fields without the critical points at infinity, J. Math. Anal. Appl. 172 (1993), 62-72.
3. 3. C. J. Christopher, Invariant algebraic curves and conditions for a centre, Proc. Roy. Soc. Edinburgh A 124 (1994), 1209-1229.
4. 4. B. Coll, A. Gasull, and R. Prohens, Differential equations defined by the sum of two quasihomogeneous vector fields, Canad. J. Math., to appear.
5. 5. A. Cima, A. Gasull, V. Mañosa, and F. Mañosas, Algebraic properties of the Liapunov and period constants, Rocky Mountain J. Math., to appear.
6. 6. N. G. Lloyd, A note on the number of limit cycles in certain two-dimensional systems, J. London Math. Soc. 20 (1979), 277-286.
7. 7. J. C. Nuño, M. A. Andrade, F. Moran, and F. Montera, Study of a catalytic networks formed by error-prone self-replicative species, in "Mathematics Applied to Biology and Medicine (1993)," pp. 321-326 (J. Demongeot and V. Capasso, Eds.), Mathematical Biology, Wuerz, Winnipeg, 1993.
8. 8. V. A. Pliss, "Non-local Problems of the Theory of Oscillations," Academic Press, New York, 1966.
9. 9. J. Sotomayor, "Curvas definidas por equaçóes diferenciais no plano," IMPA, Rio de Janeiro., 1981.
10. 10. N. Yasmin, "Closed Orbits for Certain Two-Dimensional Cubic Systems," Ph.D. thesis, University College of Wales, Aberystwyth, 1989.