Uniqueness of limit cycles bounded by two invariant parabolas
Applications of Mathematics (2012)
- Volume: 57, Issue: 5, page 521-529
- ISSN: 0862-7940
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topSáez, Eduardo, and Szántó, Iván. "Uniqueness of limit cycles bounded by two invariant parabolas." Applications of Mathematics 57.5 (2012): 521-529. <http://eudml.org/doc/246724>.
@article{Sáez2012,
abstract = {In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.},
author = {Sáez, Eduardo, Szántó, Iván},
journal = {Applications of Mathematics},
keywords = {stability; limit cycles; center; bifurcation; Matlab; stability; bifurcations},
language = {eng},
number = {5},
pages = {521-529},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniqueness of limit cycles bounded by two invariant parabolas},
url = {http://eudml.org/doc/246724},
volume = {57},
year = {2012},
}
TY - JOUR
AU - Sáez, Eduardo
AU - Szántó, Iván
TI - Uniqueness of limit cycles bounded by two invariant parabolas
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 5
SP - 521
EP - 529
AB - In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
LA - eng
KW - stability; limit cycles; center; bifurcation; Matlab; stability; bifurcations
UR - http://eudml.org/doc/246724
ER -
References
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