On a class of three-dimensional quadratic Hamiltonian systems

DOI10.1016/J.AML.2012.02.048zbMath1246.37079arXiv1106.3317OpenAlexW2038183525MaRDI QIDQ450215

Răzvan M. Tudoran

Publication date: 13 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3317

zbMATH Keywords

normal formsHamiltonian dynamicsquadratic Hamiltonian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05)

Related Items (4)

A Riemannian steepest descent approach over the inhomogeneous symplectic group: application to the averaging of linear optical systems ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ The free rigid body dynamics: Generalized versus classic ⋮ Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration

Cites Work

• Classical and quantum dynamics for an extended free rigid body
• Integrable Euler equations on SO(4) and their physical applications
• Euler equations on finite dimensional Lie algebras arising in physical problems
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