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International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2542-2556, 25 March 2026.ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta +2 more
wiley +1 more source
From symplectic cohomology to Lagrangian enumerative geometry
, 2019 We build a bridge between Floer theory on open symplectic manifolds and the enumerative geometry of holomorphic disks inside their Fano compactifications, by detecting elements in symplectic cohomology which are mirror to Landau-Ginzburg potentials.
Dmitry Tonkonog, Tonkonog, Dmitry,
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Ellipticity of the symplectic twistor complex [PDF]
, 1997 summary:For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain ...
Branson, Thomas, Krýsl, Svatopluk
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Cohomology of D-complex manifolds
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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, 2004 Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
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The bisymplectomorphism group of a bounded symmetric domain [PDF]
, 2008 In a previous paper with A. Loi we introduced the so called symplectic duality between Hermitian symmetric spaces. Such duality consists in a bysimplectomorphism between an open and dense subset of a compact Hermitian symmetric space and its non-compact ...
A. LOI +7 more
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, 2014 Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics.
Eliashberg, Yakov +2 more
core
Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
, 2009 This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
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Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras
, 2008 We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
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Symplectic Geometry for Engineers, Fundamentals
The mathematical theory underlying Hamiltonian mechanics is called symplectic geometry. So symplectic geometry arose from the roots of mechanics and is seen as one of the most valuable links between physics and mathematics today.
Goessner, Stefan
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