Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation

DOI10.5817/AM2016-1-49zbMath1374.34134OpenAlexW2294549453MaRDI QIDQ2798084

Z. Kadeřábek

Publication date: 1 April 2016

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2016-1-49

zbMATH Keywords

periodic solutionsaveraging methodautonomous systemBautin bifurcationgeneralized Hopf bifurcationLyapunov quantitymodified generalized Van der Pol-Mathieu equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Asymptotic properties of solutions to ordinary differential equations (34D05)

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