Centers of quasi-homogeneous polynomial differential equations of degree three
β Scribed by Aziz, W.; Llibre, J.; Pantazi, C.
- Book ID
- 122133824
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 438 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0001-8708
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π SIMILAR VOLUMES
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 Ε½ . 2qy1 Ε½ . Ε½ . Ε½ . Ε½ . 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
In this paper, we deal with the problem of global stabilizability at the origin of a homogeneous vector field of degree three. We give a sufficient condition which turns out to be also necessary in a large class of systems. (~) 2004 Elsevier Ltd. All rights reserved. Keywords--Homogeneous polynomia