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The analysis of the degenerate case of oscillations of a mechanical system

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Publication:2830329
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DOI10.1002/mma.3883zbMath1390.70011OpenAlexW2322065866WikidataQ61988702 ScholiaQ61988702MaRDI QIDQ2830329

M. N. Kirsanov

Publication date: 28 October 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3883


zbMATH Keywords

nonlinear modeltwo degrees of freedomoscillationspoints of degeneracy


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Motion of a rigid body in contact with a solid surface (70E18)



Uses Software

  • Maple


Cites Work

  • Stress distribution instability in the plane problem of the theory of elasticity of heterogeneous bodies
  • Bifurcation analysis of delay-induced periodic oscillations
  • Singular points of the creep deformation and buckling of a column
  • Study of a degenerate Bogdanov-Takens bifurcation in a family of mechanical oscillators


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