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Global structure for a class of dynamical systems

โœ Scribed by Suochun Zhang; Zuo-Huan Zheng

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
115 KB
Volume
11
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

In this paper, we shall consider the global structure of positive bounded systems on the plane which have m singular points, but not any closed orbits and singular closed orbits. We shall prove that these systems have at least m ร€ 1 connecting orbits; and all the connecting orbits, homoclinic orbits and singular points constitute a compact simply connected set. Each of other orbits tends to a singular point as t 3 I, and approaches to the inยฎnity as t 3 ร€IX

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