Invariant tori arising at a general critical point of codimension three

DOI10.1016/0307-904X(89)90061-9zbMath0704.34051MaRDI QIDQ916853

Koncay Huseyin, Pei Yu

Publication date: 1989

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

zbMATH Keywords

quasi-periodic motionsHopf bifurcationinvariant toridynamic bifurcationsnonlinear autonomous systemmultiple-scale harmonic balancingsecondary bifurcations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (2)

Computation of the normal forms for general M-DOF systems using multiple time scales. I: Autonomous systems ⋮ Computation of the coefficients associated with the normal form of a resonant five-dimensional system.

Cites Work

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• Bifurcations associated with a three-fold 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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