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On stability of periodic motions in a particular critical case

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Publication:1155390
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DOI10.1016/0021-8928(80)90034-9zbMath0466.70026OpenAlexW2062740405MaRDI QIDQ1155390

S. V. Medvedev

Publication date: 1980

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(80)90034-9

zbMATH Keywords

asymptotic stabilityDeprit-Hori methodparticular critical case


Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20)


Related Items

The stability of a class of reversible systems



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On stability in the presence of several resonances
  • Certain stability questions in the presence of resonances
  • Normal form and stability of periodic systems with internal resonance
  • On stability of autonomous systems with internal resonance
  • On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
  • The stability of periodic motions
  • Canonical transformations depending on a small parameter
  • Explicit recursive algorithms for the construction of equivalent canonical transformations
  • Perturbation method in the theory of nonlinear oscillations
  • A new summation method for divergent series
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