Author： Ding Changming
Publisher： Springer Publishing Company
ISSN： 0011-4642
Source： Czechoslovak Mathematical Journal, Vol.55, Iss.1, 2005-03, pp. : 125-132
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Abstract
This paper concerns the global structure of planar systems. It is shown that if a positively bounded system with two singular points has no closed orbits, the set of all bounded solutions is compact and simply connected. Also it is shown that for such a system the existence of connecting orbits is tightly related to the behavior of homoclinic orbits. A necessary and sufficient condition for the existence of connecting orbits is given. The number of connecting orbits is also discussed.
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