The historical development of classical stability concepts: Lagrange, Poisson and Lyapunov stability

DOI10.1007/s11071-009-9530-zzbMath1183.70002OpenAlexW2124889948MaRDI QIDQ2380544

Remco I. Leine

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/17437

zbMATH Keywords

stability theoryhistory of mechanicsLyapunovLagrange-Dirichlet stability theoremTorricelli's axiom

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) History of mathematics in the 18th century (01A50) History of mathematics in the 19th century (01A55) History of mechanics of particles and systems (70-03)

Related Items (10)

Lyapunov stability of a rigid body with two frictional contacts ⋮ Existence and stability of \(L^p\) solutions of the steady state magnetohydrodynamic equations with rough external forces ⋮ Numerical characterization of nonlinear dynamical systems using parallel computing: the role of GPUs approach ⋮ System stability analysis via a perturbation technique ⋮ Lyapunov stability for continuous-time multidimensional nonlinear systems ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Stability of trajectories from Poincaré to Birkhoff: approaching a qualitative definition ⋮ Holly type stability of set of solutions of three dimensional stationary incompressible magnetohydrodynamic equations ⋮ Corner stability in nonlinear autonomous systems ⋮ Un acercamiento histórico a dos sentidos dinámicos de estabilidad

Cites Work

• Joseph Liouville's work on the figures of equilibrium of a rotating mass of fluid
• 6 Stability, Told by Its Developers
• Stodola, Hurwitz and the genesis of the stability criterion
• Mathematical Technique and Physical Conception in Euler's Investigation of the Elastica
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Scanning the issue
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The historical development of classical stability concepts: Lagrange, Poisson and Lyapunov stability