Integrability of Centers Perturbed by Quasi-Homogeneous Polynomials

✍ Scribed by J. Chavarriga; I. Garcı́a; J. Giné

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 163 KB
• Volume: 210
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5402

✦ Synopsis

The objective of this work is to give sufficient and necessary conditions for integrability of differential equation systems in the plane of the form x s yy 2 py1 Ž . 2qy1 Ž . Ž . Ž . Ž . qX x, y , y sx qY x, y , where X x, y and Y x, y are p y q quasi-2 2 2 2

homogeneous polynomials of degree 2 pq y q q 1 and 2 pq y p q 1, respectively.

ᮊ 1997 Academic Press k k degree k y q q 2 pq y 1 and k y p q 2 pq y 1, respectively, with m ) n,