| Title:
|
A simple model of thermoelectric oscillations (English) |
| Author:
|
Cimatti, Giovanni |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
147-158 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation). (English) |
| Keyword:
|
thermistor |
| Keyword:
|
time-periodic solution |
| Keyword:
|
Hopf bifurcation |
| MSC:
|
34C15 |
| MSC:
|
34C25 |
| MSC:
|
78A97 |
| idZBL:
|
Zbl 0833.34033 |
| idMR:
|
MR1314484 |
| DOI:
|
10.21136/AM.1995.134285 |
| . |
| Date available:
|
2009-09-22T17:47:15Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134285 |
| . |
| Reference:
|
[1] J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields.Springer-Verlag, New York Inc., 1983. MR 0709768 |
| Reference:
|
[2] F.J. Hyde: Thermistors.Iliffe Book, London, 1971. |
| Reference:
|
[3] J.J. Marsden, M. McCracken: The Hopf Bifurcation and its Application.Springer-Verlag, New York Inc., 1976. MR 0494309 |
| Reference:
|
[4] Ambrosetti, G. Prodi: A Primer in Nonlinear Analysis.Academic Press. |
| Reference:
|
[5] R.W.A. Scarr, R.A. Setterington: Thermistors, their theory, manufacture and application.The Institution of Electrical Engineers 3176 M, Jan., 1960. |
| . |
