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


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


Zbl 0488.34034
Full Text: DOI


[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
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