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A class of reversible cubic systems with an isochronous center

✍ Scribed by L. Cairó; J. Chavarriga; J. Giné; J. Llibre

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
828 KB
Volume
38
Category
Article
ISSN
0898-1221

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✦ Synopsis

We study cubic polynomial differential systems having an isochronous center and an inverse integrating factor formed by two different parallel invariant straight lines. Such systems are time-reversible. We find nine subclasses of such cubic systems, see Theorem 8. We also prove that time-reversible polynomial differential systems with a nondegenerate center have half of the isochronous constants equal to zero, see Theorem 3. We present two open problems. (~) 1999 Elsevier Science Ltd. All rights reserved.

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