On simultaneous Abel equations
β Scribed by M. C. Zdun
- Book ID
- 105325323
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 569 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
because of their close relation to planar vector fields. In this paper three new Ε½ . results on Abel equations are presented: 1 An asymptotic expansion of the Ε½ . Ε½ . Ε½ . solutions of Abel equations in terms of the coefficient functions a ΠΈ and b ΠΈ . 2 A Ε½ . simple recurrence relation for Bautin qua
We investigate cubic systems which can be transformed to an equation of Abel form. The conditions for the origin to be a centre and, in particular, an isochronous centre are obtained. The maximum number of limit cycles which can bifurcate from a fine focus is determined and some information is obtai