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be a control affine system on a manifold M, let C be a convex compact subset of
, dim C > 0, let q
0 be a fixed point of M, and let U be a neighbourhood of q
0. We consider three reachable sets from q
0 for our system which...
We consider the problem of extending the integrals of motion of soliton equations to the space of all finite-gap solutions. We consider the critical points of these integrals on the moduli space of Riemann surfaces with marked points and jets of local coordinates. We show that the solutions of...
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