A double Hopf bifurcation phenomenon

DOI10.1007/BF01556692zbMath0604.70046OpenAlexW2082027692MaRDI QIDQ1083239

A. S. Atadan, Koncay Huseyin

Publication date: 1986

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01556692

zbMATH Keywords

limit cyclesHopf bifurcationcritical pointautonomous systemsexistence conditionasymptotic equationsbifurcating pathsdegenerate dynamic bifurcationexistence of bifurcating familyfrequency-amplitude relationshipsHopf's transversality condition

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• A note on “a uniformly valid asymptotic solution for d2y/dt2 + y = a + εy2”
• Existence of small periodic solutions of ordinary differential equations in \(\mathbb{R}^2\)

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