A class of reversible cubic systems with an isochronous center

Authors
Cairo, L Chavarriga, J Gine, J Llibre, J
Citation
L. Cairo et al., A class of reversible cubic systems with an isochronous center, COMPUT MATH, 38(11-12), 1999, pp. 39-53
Citations number
21
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
11-12
Year of publication
1999
Pages
39 - 53
Database
ISI
SICI code
0898-1221(199912)38:11-12<39:ACORCS>2.0.ZU;2-P
Abstract
We study cubic polynomial differential systems having an isochronous center and an inverse integrating factor formed by two different parallel invaria nt straight lines. Such systems are time-reversible. We find nine subclasse s of such cubic systems, see Theorem 8. We also prove that time-reversible polynomial differential systems with a nondegenerate center have half of th e isochronous constants equal to zero, see Theorem 3. We present two open p roblems. (C) 1999 Elsevier Science Ltd. All rights reserved.