Dynamical deformations of three-dimensional Lie algebras in Bianchi classification over the harmonic oscillator. (English) Zbl 1187.37085

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37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
17B81 Applications of Lie (super)algebras to physics, etc.
70H05 Hamilton’s equations
Full Text: DOI arXiv


[1] DOI: 10.1017/CBO9780511535024 · Zbl 1045.37033 · doi:10.1017/CBO9780511535024
[2] DOI: 10.2307/1970343 · Zbl 0131.27302 · doi:10.2307/1970343
[3] Landau L., Theoretical Physics (1973)
[4] Course of Theoretical Physics 2 (1980)
[5] DOI: 10.1002/cpa.3160210503 · Zbl 0162.41103 · doi:10.1002/cpa.3160210503
[6] DOI: 10.1007/978-0-387-69200-5 · Zbl 1126.83001 · doi:10.1007/978-0-387-69200-5
[7] DOI: 10.4303/jglta/S070105 · Zbl 1129.18002 · doi:10.4303/jglta/S070105
[8] DOI: 10.1016/S0034-4877(08)80008-0 · Zbl 1162.81385 · doi:10.1016/S0034-4877(08)80008-0
[9] DOI: 10.4303/jglta/S090104 · Zbl 1163.18301 · doi:10.4303/jglta/S090104
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