On the existence of heteroclinic connections
Assume that W : R m → R is a nonnegative potential that vanishes only on a finite set A with at least two elements. By direct minimization of the action functional on a suitable set of maps we give a new elementary proof of the existence of a heteroclinic orbit that connects any given a - ∈ A to som...
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| Veröffentlicht in: | São Paulo Journal of Mathematical Sciences 2018-06, Vol.12 (1), p.68-81 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Assume that
W
:
R
m
→
R
is a nonnegative potential that vanishes only on a finite set
A
with at least two elements. By direct minimization of the action functional on a suitable set of maps we give a new elementary proof of the existence of a heteroclinic orbit that connects any given
a
-
∈
A
to some
a
+
∈
A
\
{
a
-
}
. |
|---|---|
| ISSN: | 1982-6907 2316-9028 2306-9028 |
| DOI: | 10.1007/s40863-017-0080-x |