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math.DG2004
Hamiltonian theory of constrained impulsive motion
Jorge Cortes, Alexandre M. Vinogradov
This paper considers systems subject to nonholonomic constraints which are not uniform on the whole configuration manifold. When the constraints change, the system undergoes a tran…
math.DG1999
Jumping oscillator
F. Pugliese, A. Vinogradov
It is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible c…