On the Fourier analysis approach to the Hopf bifurcation theorem

DOI10.1007/978-4-431-53930-8_3zbMath1341.34045OpenAlexW165514443MaRDI QIDQ3178353

Toru Maruyama

Publication date: 12 July 2016

Published in: Advances in Mathematical Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-53930-8_3

zbMATH Keywords

Hopf bifurcationFourier seriesperiodic solution for ordinary differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• Classification and unfoldings of degenerate Hopf bifurcations
• Bifurcations and nondegenerated conditions of higher degree and a new simple proof of the Hopf-Neimark-Sacker bifurcation theorem
• On convergence and growth of partial sums of Fourier series

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