Stability and branching of normal oscillation forms of nonlinear systems

DOI10.1016/0021-8928(81)90061-7zbMath0503.70016OpenAlexW2087000374MaRDI QIDQ1173419

S. Singh

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90061-7

zbMATH Keywords

conservative systemsfour Sturm-Liouville problemsmechanical characteristics of nonlinear chain system with two degrees of freedomnearly homogeneous systemsnormal oscillation orbital stabilityrectilinear trajectoriessingle-frequency modes

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (2)

The joining of local expansions in the theory of nonlinear oscillations ⋮ Conditions for finiteness of the number of instability zones in the problem of normal vibrations of nonlinear systems

Cites Work

• On periodic solutions close to rectilinear normal vibration modes
• On a Restricted Class of Coupled Hill’s Equations and Some Applications
• The Stability of Bifurcating Periodic Solutions in a Two-Degree-of-Freedom Nonlinear System
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