Linear systems with a quadratic integral and symplectic geometry of artin spaces

DOI10.1016/S0021-8928(04)00047-4zbMath1086.37028OpenAlexW1982605968MaRDI QIDQ3378110

Valery V. Kozlov

Publication date: 30 March 2006

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(04)00047-4

zbMATH Keywords

stabilitylinear systemslinear differential equationssymplectic structuregyroscopic systemLagrangian formHamiltonian formArtinian spacenondegenerate quadratic first integralsystems with gyroscopic forces

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Linear ordinary differential equations and systems (34A30) Stability for problems in linear vibration theory (70J25) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients

Cites Work

• Linear systems with a quadratic integral
• Unnamed Item

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