The asymptotic motions of systems with dissipation

DOI10.1016/0021-8928(94)90003-5zbMath0925.70173OpenAlexW2048358986MaRDI QIDQ1369928

Valery V. Kozlov

Publication date: 3 November 1997

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(94)90003-5

zbMATH Keywords

existenceequilibriumlogarithmsanalogue of Kelvin's theoremanalytical properties of asymptotic solutionsdegenerate potential energyeffect of gyroscopic forcesseries in inverse powers of time

Mathematics Subject Classification ID

Hamiltonian and Lagrangian mechanics (70H99)

Related Items (10)

Lyapunov's first method for strongly non-linear systems ⋮ On the instability of steady motion ⋮ On the instability of equilibrium of nonholonomic systems with nonhomogeneous constraints ⋮ On the stability of equilibria of nonholonomic systems with nonlinear constraints ⋮ Unnamed Item ⋮ Lyapunov-Kozlov method for singular cases ⋮ Instability of equilibrium of nonholonomic systems with dissipation and circulatory forces ⋮ On the instability of equilibria of mechanical systems in nonpotential force fields in the case of typical degeneracies ⋮ On the instability of equilibrium position of a mechanical system with singular constraints ⋮ On the Lyapunov instability in Lagrangian dynamics

Cites Work

• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• Asymptotic solutions of equations of classical mechanics
• On the asymptotic solutions of the equations of motion of mechanical systems
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• On the degree of instability
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