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Title: Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra?
Authors: Bolsinov, Alexey V.
Kilin, A.A.
Kazakov, A.O.
Keywords: Topological monodromy
Integrable systems
Nonholonomic systems
Poincare map
Bifurcation analysis
Focus focus singularities
Issue Date: 2015
Publisher: © Elsevier
Citation: BOLSINOV, A.V., KILIN, A.A. and KAZAKOV, A.O., 2015. Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra? Journal of Geometry and Physics, 87, pp.61-75
Abstract: The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is developed. The comparative analysis of the topological monodromy is given for the rolling ellipsoid of revolution problem in two cases, namely, on a smooth and on a rough plane. The first of these systems is Hamiltonian, the second is nonholonomic. We show that, from the viewpoint of monodromy, there is no difference between the two systems, and thus disprove the conjecture by Cushman and Duistermaat stating that the topological monodromy gives a topological obstruction for Hamiltonization of the rolling ellipsoid of revolution on a rough plane.
Version: Submitted for publication
DOI: 10.1016/j.geomphys.2014.08.003
URI: https://dspace.lboro.ac.uk/2134/17890
Publisher Link: http://dx.doi.org/10.1016/j.geomphys.2014.08.003
ISSN: 0393-0440
Appears in Collections:Published Articles (Maths)

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