Stability of motion for a constrained Birkhoff's system in terms of independent variables

DOI10.1007/BF02457501zbMath0888.70015OpenAlexW408544009MaRDI QIDQ1369406

Feng-Xiang Mei

Publication date: 20 October 1997

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02457501

zbMATH Keywords

perturbationsstability criteriaequations of motionapproximate methodLyapunov direct methodPfaff-Birkhoff-d'Alembert's principle

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems ⋮ Stability for manifolds of equilibrium states of generalized Hamiltonian systems ⋮ Noether symmetries and conserved quantities for Birkhoffian systems with time delay

Cites Work

• Stability of equilibrium for the autonomous Birkhoff system
• The Noether's theory of Birkhoffian systems
• On the stability of the motion of a Birkhoffian system
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