92 citations
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Showing 2012Show all
3 papers · 1 filter
math.LO2012★ 2 cited
The polytopologies of transfinite provability logic
David Fernández-Duque
Provability logics are modal or polymodal systems designed for modeling the behavior of Gödel's provability predicate in arithmetical theories and its natural extensions. If Λis an…
math.DS2012
Invariant manifolds for analytic difference equations
Rafael de la Llave, Hector E. Lomeli
We use a modification of the parameterization method to study invariant manifolds for difference equations. We establish existence, regularity, smooth dependence on parameters and…
nlin.SI2012★ 9 cited
The motion of the 2D hydrodynamic Chaplygin sleigh in the presence of circulation
Yuri N. Fedorov, Luis C. García-Naranjo, Joris Vankerschaver
We consider the motion of a planar rigid body in a potential flow with circulation and subject to a certain nonholonomic constraint. This model is related to the design of underwat…