Orbits connecting singular points in the plane
Czechoslovak Mathematical Journal (2005)
- Volume: 55, Issue: 1, page 125-132
- ISSN: 0011-4642
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topDing, Changming. "Orbits connecting singular points in the plane." Czechoslovak Mathematical Journal 55.1 (2005): 125-132. <http://eudml.org/doc/30931>.
@article{Ding2005,
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.},
author = {Ding, Changming},
journal = {Czechoslovak Mathematical Journal},
keywords = {connecting orbit; homoclinic orbit; positively bounded system; connecting orbit; homoclinic orbit; positively bounded system},
language = {eng},
number = {1},
pages = {125-132},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Orbits connecting singular points in the plane},
url = {http://eudml.org/doc/30931},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Ding, Changming
TI - Orbits connecting singular points in the plane
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 1
SP - 125
EP - 132
AB - 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.
LA - eng
KW - connecting orbit; homoclinic orbit; positively bounded system; connecting orbit; homoclinic orbit; positively bounded system
UR - http://eudml.org/doc/30931
ER -
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