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@article{1645579,
author = {Kadeřábek, Zdeněk},
article_location = {Brno},
article_number = {1},
doi = {http://dx.doi.org/10.5817/AM2016-1-49},
keywords = {Van der Pol-Mathieu equation; periodic solutions; autonomous system; generalized Hopf bifurcation; Bautin bifurcation; averaging method; limit cycles},
language = {eng},
issn = {1212-5059},
journal = {Archivum Mathematicum},
title = {BAUTIN BIFURGATION OF A MODIFIED GENERALIZED VAN DER POL-MATHIEU EQUATION},
url = {https://eudml.org/doc/276748},
volume = {52},
year = {2016}
}
TY - JOUR
ID - 1645579
AU - Kadeřábek, Zdeněk
PY - 2016
TI - BAUTIN BIFURGATION OF A MODIFIED GENERALIZED VAN DER POL-MATHIEU EQUATION
JF - Archivum Mathematicum
VL - 52
IS - 1
SP - 49-70
EP - 49-70
PB - Masarykova univerzita
SN - 12125059
KW - Van der Pol-Mathieu equation
KW - periodic solutions
KW - autonomous system
KW - generalized Hopf bifurcation
KW - Bautin bifurcation
KW - averaging method
KW - limit cycles
UR - https://eudml.org/doc/276748
L2 - https://eudml.org/doc/276748
N2 - The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kaderabek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation are computed.
ER -
KADEŘÁBEK, Zdeněk. BAUTIN BIFURGATION OF A MODIFIED GENERALIZED VAN DER POL-MATHIEU EQUATION. \textit{Archivum Mathematicum}. Brno: Masarykova univerzita, 2016, roč.~52, č.~1, s.~49-70. ISSN~1212-5059. Dostupné z: https://dx.doi.org/10.5817/AM2016-1-49.
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