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Orbits Connecting Critical Points of Differential Equations Depending on a Parameter

โœ Scribed by Yu Shu-Xiang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
76 KB
Volume
261
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

A sufficient and necessary condition for a planar critical point to be isolated as an invariant set is given. Using the concept of an isolated invariant set, some existence criteria of orbits connecting two critical points bifurcating from a single critical point for planar differential equations depending on a parameter are given.

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