On bifurcation into nonresonant quasi-periodic motions

DOI10.1016/0307-904X(88)90011-XzbMath0663.34044MaRDI QIDQ1114065

Pei Yu, Koncay Huseyin

Publication date: 1988

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesbifurcationelectrical networkapplicationautonomous systemcoincident critical point

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Dynamical systems and ergodic theory (37-XX)

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Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A Hopf's bifurcation theorem for nonsimple eigenvalues
• On the analysis of Hopf bifurcations
• Hopf bifurcation at multiple eigenvalues
• Singularities of vector fields
• Static and dynamic bifurcations associated with a double-zero eigenvalue
• A perturbation analysis of interactive static and dynamic bifurcations
• Bifurcations Associated with a Double Zero and a Pair of Pure Imaginary Eigenvalues

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