On inversion of the Lagrange–Dirichlet theorem and instability of conservative systems
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Publication:5118057
DOI10.1070/RM9945zbMath1480.70025OpenAlexW3037652396MaRDI QIDQ5118057
Publication date: 4 September 2020
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm9945
equilibriumLyapunov instabilityLagrange-Dirichlet theoremtotal instabilityclassification of unstable critical pointsquasi-homogeneous potential functions
Related Items (3)
Dziobek equilibrium configurations on a sphere ⋮ Instability of equilibria in a solenoidal force field ⋮ On the instability of equilibria of mechanical systems in nonpotential force fields in the case of typical degeneracies
Cites Work
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- On the instability of equilibrium when the potential has a non-strict local minimum
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- Stability for two dimensional analytic potentials
- Instability of equilibria in dimension three
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- Instability of an equilibrium in a potential field
- On the inversion of the Lagrange-Dirichlet stability theorem mechanical and generalized systems
- Equilibrium instability in a potential field, taking account of viscous friction
- Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
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