Relative structural stability and instability of different degrees in systems with dissipation

DOI10.1007/S10958-019-04314-WzbMath1416.37031OpenAlexW2940593220MaRDI QIDQ2314304

M. V. Shamolin

Publication date: 22 July 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04314-w

zbMATH Keywords

rigid body dynamicsadmissible deformationsstructural stabilityoscillation theory

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Stability problems in rigid body dynamics (70E50) Perturbation methods for rigid body dynamics (70E20)

Cites Work

• Structural stability on two-dimensional manifolds
• Application of the methods of topographic Poincaré systems and comparison systems to some particular systems of differential equations
• Phase pattern classification for the problem of the motion of a body in a resisting medium in the presence of a linear damping moment
• Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields
• On an approximation theorem of Kupka and Smale
• On structural stability
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Relative structural stability and instability of different degrees in systems with dissipation