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Generalized liouville equation, entropy, and dynamic systems containing limit cycles

โœ Scribed by Willi-Hans Steeb

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
587 KB
Volume
95
Category
Article
ISSN
0378-4371

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The number of limit cycles in planar sys
The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity
โœ Antoni Guillamon; Marco Sabatini ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 557 KB

We extend some previous results on the maximum number of isolated periodic solutions of generalized Abel equation and rigid systems. The key hypothesis is a monotonicity assumption on any stability operator (for instance, the divergence) along the solutions of a suitable transversal system. In such