Conditional linearization of the quintic nonlinear beam equation
DOI10.1186/S13662-017-1179-1zbMath1422.34131OpenAlexW2607352692WikidataQ59517761 ScholiaQ59517761MaRDI QIDQ1631023
Nuntawan Sripana, Waraporn Chatanin
Publication date: 5 December 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1179-1
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Geometric methods in ordinary differential equations (34A26) Dynamical systems in solid mechanics (37N15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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Cites Work
- Linearization of third-order ordinary differential equations by point and contact transformations
- The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
- Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation
- Reduction of fourth order ordinary differential equations to second and third order Lie linearizable forms
- Linearization of fourth-order ordinary differential equations by point transformations
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