scholarly journals Rough Liouville Equivalence of Integrable Hamiltonian Systems

2020 ◽  
Vol 15 (2) ◽  
pp. 153-169
Author(s):  
Nandakumar M ◽  
K S Subrahamanian Moosath
Keyword(s):  
Hamiltonian Systems ◽  
Integrable Hamiltonian Systems ◽  
Liouville Equivalence

scholarly journals Topological obstacles to the realizability of integrable Hamiltonian systems by billiards

2019 ◽  
Vol 488 (5) ◽  
pp. 471-475
Author(s):  
V. V. Vedyushkina ◽  
A. T. Fomenko
Keyword(s):  
Magnetic Field ◽  
Hamiltonian Systems ◽  
Degrees Of Freedom ◽  
Integrable Hamiltonian Systems ◽  
Two Degrees Of Freedom ◽  
Degenerate Hamiltonian Systems ◽  
Liouville Equivalence

We introduce the following classes of integrable billiards: elementary billiards, topological, books, with potential, magnetic field, geodesic billiards. These classes are used to test the A.T. Fomenko conjecture about the realizability up to Liouville equivalence by billiards of integrable non-degenerate Hamiltonian systems with two degrees of freedom. In the class of book billiards found topological obstacles to realizability.

scholarly journals Two-Photon Algebra and Integrable Hamiltonian Systems

2001 ◽  
Vol 8 (sup1) ◽  
pp. 18-22 ◽  
Author(s):  
Angel Ballesteros ◽  
Francisco J Herranz
Keyword(s):  
Hamiltonian Systems ◽  
Integrable Hamiltonian Systems ◽  
Two Photon
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