Compactification and desingularization of spaces of polynomial Liénard equations

Journal of Differential Equations

Volumn 224, Issue 2, 2006, Pages 296-313

  Dumortier, Freddy ^a  

^a HASSELT UNIVERSITY   (Belgium)

Author keywords

Compactification; Desingularization; Hamiltonian perturbation; Hilbert's 16th problem; Li nard equation; Limit cycle; Singular perturbation

Indexed keywords

EID: 33646111687     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2005.08.011     Document Type: Article

References (6)

1. Dumortier F., and Herssens C. Polynomial Liénard equations near infinity. J. Differential Equations 153 (1999) 1-29
2. F. Dumortier, J. Llibre, J.C. Artès, Qualitative Theory of Planar Differential Systems, Universitext, Springer-Verlag, to appear.
3. Dumortier F., Roussarie R., and Rousseau C. Hilbert's 16th problem for quadratic vector fields. J. Differential Equations 110 (1994) 86-133
4. Roussarie R. A note on finite cyclicity property and Hilbert's 16th problem. In: Bamon R., Labarca R., and Palis J. (Eds). Dynamical System Valparaiso, Lecture Notes in Mathematics vol. 1331 (1986), Springer, Berlin
5. R. Roussarie, Putting a boundary to the space of Liénard equations, preprint.
6. S. Smale, Mathematical Problems for the Next Century, vol. 20(2), Springer, New York, 1998, pp. 7-15.