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BOUNDED ORBITS OF POSITIVELY BOUNDED SYSTEMS

Published online by Cambridge University Press:  15 January 2004

CHANGMING DING
CHANGMING DING
Affiliation:
Department of Mathematics, Guangxi Normal University, Guilin, 541004, P.R.China e-mail: [email protected]
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Abstract

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In this paper, we discuss the structure of the global attractor of a positively bounded system. In particular, we are concerned with the existence of connecting orbits and the relation between maximal elliptic sectors and connecting orbits. For the systems with two singular points a necessary and sufficient condition for the existence of connecting orbits is given.

Keywords

37C2937B25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 37 - 45
Copyright
2004 Glasgow Mathematical Journal Trust