1. Orbits connecting singular points in the plane
- Creator:
- Ding, Changming
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- connecting orbit, homoclinic orbit, and positively bounded system
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public