Lyapunov's first method for strongly non-linear systems

DOI10.1016/0021-8928(96)00003-2zbMath0885.34044OpenAlexW2073358242MaRDI QIDQ1361936

Valery V. Kozlov, Stanislav D. Furta

Publication date: 27 October 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(96)00003-2

zbMATH Keywords

asymptotic expansionsLyapunov's first method

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Lyapunov first method for nonholonomic systems with circulatory forces, On the instability of equilibrium of nonholonomic systems with nonhomogeneous constraints, On the stability of equilibria of nonholonomic systems with nonlinear constraints, Lyapunov-Kozlov method for singular cases, Instability of equilibrium of nonholonomic systems with dissipation and circulatory forces, Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension, Stabilization of the unstable equilibria of charges by intense magnetic fields

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
• Resonances and asymptotic trajectories in Hamiltonian systems
• The asymptotic motions of systems with dissipation
• Necessary condition for the existence of algebraic first integrals
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