×

Linear Hamiltonian systems are integrable with quadratics. (English) Zbl 0507.70015


MSC:

70H05 Hamilton’s equations
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
15A21 Canonical forms, reductions, classification
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70J10 Modal analysis in linear vibration theory
70J30 Free motions in linear vibration theory

Citations:

Zbl 0488.34034
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Markus L., Mem. Amer. Math. Soc. 144 (1974)
[2] DOI: 10.2307/2371497 · Zbl 0024.13301
[3] DOI: 10.2307/2371497 · Zbl 0024.13301
[4] DOI: 10.1016/0021-8693(77)90186-7 · Zbl 0347.20026
[5] DOI: 10.1016/0021-8693(77)90186-7 · Zbl 0347.20026
[6] Cushman R., Symposia Mathematica pp 323– (1974)
[7] DOI: 10.1002/cpa.3160330602 · Zbl 0439.58014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.