sigma07-048. 250KB Jun 04 2011 12:10:02 AM
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Separation of equations for a rolling axially symmetric sphere is a known fact [13, 2, 6] but detailed analysis of all possible rolling motions of the tippe top, as labeled here
In the case of isospectral Lax equations, such as the Mumford system, this procedure should lead to a Hamiltonian form of equations of motion for the spectral Darboux
As explained in [ 8 ], in the extreme infra-red the effective field theory of a Seiberg–Witten theory is given by the low energy dynamics of an M theory five-brane wrapped on a
Our choice of discrete nonholonomic constraints on E ( n ) × E ( n ) that mimics the condition of the sphere rolling without slipping over a horizontal plane allows us to construct
Classical monodromy which is due to the presence of a focus-focus singularity (pinched torus) manifests itself in the corresponding quantum problem in the most clear and transparent
In the paper we have defined, in a restricted case, a function ψ , and we conjecture that its generalizations are the Baker–Akhiezer functions for the KP-CH integrable reductions..
A GBDT version of the B¨acklund–Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models..
To justify the study of the dynamic of prolongations of flows, we consider the Lie algebra χ ( R n ) of vector fields on R n endowed with the weak topology, which is the topology of
