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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 2, Pages 226–238
DOI: https://doi.org/10.4213/tmf268 (Mi tmf268) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top

C. Morosia, G. Tondob

a Politecnico di Milano
b University of Trieste
Full-text PDF (264 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf268
Abstract: Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the reduction of the vector field and of the Poisson tensors. We show explicitly that after the reduction to each symplectic leaf, the vector field of the Lagrange top is separable in the Hamilton–Jacobi sense.
Keywords: Lagrange top, Hamiltonian formulation, separability.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 2, Pages 1550–1560
DOI: https://doi.org/10.1023/A:1027365903527
Bibliographic databases:
Language: Russian
Citation: C. Morosi, G. Tondo, “Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top”, TMF, 137:2 (2003), 226–238; Theoret. and Math. Phys., 137:2 (2003), 1550–1560
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf268
  • https://www.mathnet.ru/eng/tmf/v137/i2/p226
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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