GENERALIZED HOPF BIFURCATION IN A FREQUENCY DOMAIN FORMULATION

DOI10.1142/S0218127412501970zbMath1258.34084OpenAlexW2041347858MaRDI QIDQ4907025

Jorge L. Moiola, P. A. Bonfili, A. Torresi, G. Calandrini

Publication date: 1 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412501970

zbMATH Keywords

frequency domainlimit cyclesHopf bifurcationharmonic balance methodsingularity theory

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (3)

Exact period-four solutions of a family of n-dimensional quadratic maps via harmonic balance and Gröbner bases ⋮ Bifurcations in Delay Differential Equations: An Algorithmic Approach in Frequency Domain ⋮ Inhibition-based relaxation oscillations emerge in resonator networks

Uses Software

• XPPAUT
• LOCBIF

Cites Work

• Unnamed Item
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• The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS

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