On the Lyapunov instability in Newtonian dynamics

DOI10.1088/1361-6544/ac1a1azbMath1483.37069arXiv1906.11962OpenAlexW3193346749MaRDI QIDQ5010053

Juan Manuel Burgos, Ezequiel Maderna, Miguel Paternain

Publication date: 24 August 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11962

zbMATH Keywords

Lyapunov instabilityNewtonian dynamicsLagrange-Dirichlet converse

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items

Strong degenerate constraining in Lagrangian dynamics ⋮ On the Lyapunov instability in Lagrangian dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inversion of Lagrange-Dirichlet theorem
• Existence of solutions entering at a singular point of an autonomous system having a formal solution
• Asymptotic solutions of equations of classical mechanics
• Asymptotic motions and the inversion of the Lagrange-Dirichlet theorem
• On the instability of equilibrium when the potential has a non-strict local minimum
• On equilibrium instability for conservative and partially dissipative systems
• Instability of equilibria in dimension three
• Stability of equilibrium of conservative systems with two degrees of freedom.
• Instability of an equilibrium in a potential field
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)