On the dynamics and stability of a codimension-3 autonomous system

DOI10.1016/0020-7225(89)90009-8zbMath0682.34041OpenAlexW2049892176MaRDI QIDQ1824090

Pei Yu, Koncay Huseyin

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90009-8

zbMATH Keywords

Hopf bifurcationsexampleBifurcationunification techniqueharmonic balancing procedure

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)

Related Items (1)

Nonlinear modal analysis of frames by the incremental harmonic-balance method

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On bifurcation into nonresonant quasi-periodic motions
• On the analysis of Hopf bifurcations
• Periodic and Steady-State Mode Interactions Lead to Tori
• On a codimension three bifurcation
• 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
• Secondary Bifurcation in Nonlinear Diffusion Reaction Equations

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