Abstract
It is shown, contrary to what was claimed in a recent paper, that the Van der Pol equation does not possess the Painlevé property. It has solutions with movable branch points in the complex time plane, and is therefore, most likely, a non-integrable dynamical system.
| Original language | English |
|---|---|
| Pages (from-to) | 85-86 |
| Number of pages | 2 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 97 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Aug 15 1983 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
A note on "painleve property of anharmonic systems with an external periodic field". / Bountis, Tassos C.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 97, No. 3, 15.08.1983, p. 85-86.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A note on "painleve property of anharmonic systems with an external periodic field"
AU - Bountis, Tassos C.
PY - 1983/8/15
Y1 - 1983/8/15
N2 - It is shown, contrary to what was claimed in a recent paper, that the Van der Pol equation does not possess the Painlevé property. It has solutions with movable branch points in the complex time plane, and is therefore, most likely, a non-integrable dynamical system.
AB - It is shown, contrary to what was claimed in a recent paper, that the Van der Pol equation does not possess the Painlevé property. It has solutions with movable branch points in the complex time plane, and is therefore, most likely, a non-integrable dynamical system.
UR - http://www.scopus.com/inward/record.url?scp=0042154768&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042154768&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(83)90516-9
DO - 10.1016/0375-9601(83)90516-9
M3 - Article
AN - SCOPUS:0042154768
VL - 97
SP - 85
EP - 86
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 3
ER -