Abstract
A highly degenerate nilpotent singularity is determined in the equations governing the dynamics of the current in an electrical circuit that contains an SNDC semiconductor element. Experimentally relevant features of the resulting unfolding theory are outlined and supplemented with numerical simulations. The interplay between stable and unstable current oscillations can produce complicated bifurcation sequences which have not been described so far. These include hysteric transitions to bi- and tristability, the coalescence of a stable and an unstable oscillation and homoclinic connections.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 46-50 |
| Number of pages | 5 |
| Journal | Physics Letters A |
| Volume | 138 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jun 12 1989 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Circuit induced oscillations of SNDC semiconductors. / Armbruster, Hans; Dangelmayr, Gerhard.
In: Physics Letters A, Vol. 138, No. 1-2, 12.06.1989, p. 46-50.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Circuit induced oscillations of SNDC semiconductors
AU - Armbruster, Hans
AU - Dangelmayr, Gerhard
PY - 1989/6/12
Y1 - 1989/6/12
N2 - A highly degenerate nilpotent singularity is determined in the equations governing the dynamics of the current in an electrical circuit that contains an SNDC semiconductor element. Experimentally relevant features of the resulting unfolding theory are outlined and supplemented with numerical simulations. The interplay between stable and unstable current oscillations can produce complicated bifurcation sequences which have not been described so far. These include hysteric transitions to bi- and tristability, the coalescence of a stable and an unstable oscillation and homoclinic connections.
AB - A highly degenerate nilpotent singularity is determined in the equations governing the dynamics of the current in an electrical circuit that contains an SNDC semiconductor element. Experimentally relevant features of the resulting unfolding theory are outlined and supplemented with numerical simulations. The interplay between stable and unstable current oscillations can produce complicated bifurcation sequences which have not been described so far. These include hysteric transitions to bi- and tristability, the coalescence of a stable and an unstable oscillation and homoclinic connections.
UR - http://www.scopus.com/inward/record.url?scp=45149146342&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=45149146342&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(89)90801-3
DO - 10.1016/0375-9601(89)90801-3
M3 - Article
AN - SCOPUS:45149146342
VL - 138
SP - 46
EP - 50
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 - 1-2
ER -