Bifurcation and Isochronicity at Infinity in a Class of Cubic Polynomial Vector Fields
โ Scribed by Qin-long Wang; Yi-rong Liu
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2007
- Tongue
- English
- Weight
- 211 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0168-9673
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study the appearance of limit cycles from the equator in a class of cubic polynomial vector fields with no singular points at infinity and the stability of the equator of the systems. We start by deducing the recursion formula for quantities at infinity in these systems, then speci
In this paper we construct, for any integers m and n, and 2 g m -1, infinitely many function fields K of degree m over F(T ) such that the prime at infinity splits into exactly g primes in K and the ideal class group of K contains a subgroup isomorphic to (Z/nZ) m-g . This extends previous results o