On generic dynamics related to a 3-fold zero eigenvalue

DOI10.1080/02681119008806089zbMath0724.34046OpenAlexW2043192339MaRDI QIDQ5758505

Pei Yu, Koncay Huseyin

Publication date: 1990

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119008806089

zbMATH Keywords

bifurcationHopf bifurcationsnormal formtoristability behaviourharmonic balancing procedurenonlinear electrical circuittriple zero eigenvalue

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Control of oscillations from the \(k\)-zero bifurcation ⋮ Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Periodic and Steady-State Mode Interactions Lead to Tori
• Static and dynamic bifurcations associated with a double-zero eigenvalue
• 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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