Geodesic
A simple model of thermoelectric oscillations
Applications of Mathematics, Tome 40 (1995) no. 2, pp. 147-158

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

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).
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).
DOI : 10.21136/AM.1995.134285
Classification : 34C15, 34C25, 78A97
Keywords: thermistor; time-periodic solution; Hopf bifurcation 
Cimatti, Giovanni; Feireisl, Eduard. A simple model of thermoelectric oscillations. Applications of Mathematics, Tome 40 (1995) no. 2, pp. 147-158. doi: 10.21136/AM.1995.134285
@article{10_21136_AM_1995_134285,
     author = {Cimatti, Giovanni and Feireisl, Eduard},
     title = {A simple model of thermoelectric oscillations},
     journal = {Applications of Mathematics},
     pages = {147--158},
     year = {1995},
     volume = {40},
     number = {2},
     doi = {10.21136/AM.1995.134285},
     mrnumber = {1314484},
     zbl = {0833.34033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134285/}
}
TY  - JOUR
AU  - Cimatti, Giovanni
AU  - Feireisl, Eduard
TI  - A simple model of thermoelectric oscillations
JO  - Applications of Mathematics
PY  - 1995
SP  - 147
EP  - 158
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134285/
DO  - 10.21136/AM.1995.134285
LA  - en
ID  - 10_21136_AM_1995_134285
ER  - 
%0 Journal Article
%A Cimatti, Giovanni
%A Feireisl, Eduard
%T A simple model of thermoelectric oscillations
%J Applications of Mathematics
%D 1995
%P 147-158
%V 40
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134285/
%R 10.21136/AM.1995.134285
%G en
%F 10_21136_AM_1995_134285

[1] J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields. Springer-Verlag, New York Inc., 1983. | MR

[2] F.J. Hyde: Thermistors. Iliffe Book, London, 1971.

[3] J.J. Marsden, M. McCracken: The Hopf Bifurcation and its Application. Springer-Verlag, New York Inc., 1976. | MR

[4] Ambrosetti, G. Prodi: A Primer in Nonlinear Analysis. Academic Press.

[5] R.W.A. Scarr, R.A. Setterington: Thermistors, their theory, manufacture and application. The Institution of Electrical Engineers 3176 M, Jan., 1960.

Cité par Sources :