# A simple model of thermoelectric oscillations

Giovanni Cimatti; Eduard Feireisl

Applications of Mathematics (1995)

- Volume: 40, Issue: 2, page 147-158
- ISSN: 0862-7940

## Access Full Article

top## Abstract

top## How to cite

topCimatti, Giovanni, and Feireisl, Eduard. "A simple model of thermoelectric oscillations." Applications of Mathematics 40.2 (1995): 147-158. <http://eudml.org/doc/32910>.

@article{Cimatti1995,

abstract = {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).},

author = {Cimatti, Giovanni, Feireisl, Eduard},

journal = {Applications of Mathematics},

keywords = {thermistor; time-periodic solution; Hopf bifurcation; thermistor; electric circuit; local stability; periodic solutions},

language = {eng},

number = {2},

pages = {147-158},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A simple model of thermoelectric oscillations},

url = {http://eudml.org/doc/32910},

volume = {40},

year = {1995},

}

TY - JOUR

AU - Cimatti, Giovanni

AU - Feireisl, Eduard

TI - A simple model of thermoelectric oscillations

JO - Applications of Mathematics

PY - 1995

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 40

IS - 2

SP - 147

EP - 158

AB - 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).

LA - eng

KW - thermistor; time-periodic solution; Hopf bifurcation; thermistor; electric circuit; local stability; periodic solutions

UR - http://eudml.org/doc/32910

ER -

## References

top- Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer-Verlag, New York Inc., 1983. (1983) MR0709768
- Thermistors, Iliffe Book, London, 1971. (1971)
- The Hopf Bifurcation and its Application, Springer-Verlag, New York Inc., 1976. (1976) MR0494309
- A Primer in Nonlinear Analysis, Academic Press.
- Thermistors, their theory, manufacture and application, The Institution of Electrical Engineers 3176 M, Jan., 1960. (1960)

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.