A simple model of thermoelectric oscillations
Giovanni Cimatti; Eduard Feireisl
Applications of Mathematics (1995)
- Volume: 40, Issue: 2, page 147-158
- ISSN: 0862-7940
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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)
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