✦ LIBER ✦

Cubic Systems and Abel Equations

✍ Scribed by J. Devlin; N.G. Lloyd; J.M. Pearson

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 352 KB
Volume: 147
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.1998.3420

No coin nor oath required. For personal study only.

✦ Synopsis

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 obtained about the global phase portrait.

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