Geodesics on quadrics and a mechanical problem of C. Neumann.
Geodesics on S2 and periodic points of annulus homeomorphisms.
Géodésiques et horocycles sur le revêtement d'homologie d'une surface hyperbolique
Geogebra: la eficiencia de la intuición.
Geography of the cubic connectedness locus : intertwining surgery
Geometric and arithmetic properties of the Hénon map.
Geometric and ergodic properties of the stable foliation
Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
Geometric dynamics of calcium oscillations ODEs systems.
Geometric expansion, Lyapunov exponents and foliations
Geometric integrators for piecewise smooth Hamiltonian systems
In this paper, we consider C1,1 Hamiltonian systems. We prove the existence of a first derivative of the flow with respect to initial values and show that it satisfies the symplecticity condition almost everywhere in the phase-space. In a second step, we present a geometric integrator for such systems (called the SDH method) based on B-splines interpolation and a splitting method introduced by McLachlan and Quispel [Appl. Numer. Math. 45 (2003) 411–418], and we prove it is convergent, and that...
Geometric mechanics on nonholonomic submanifolds
In this survey article, nonholonomic mechanics is presented as a part of geometric mechanics. We follow a geometric setting where the constraint manifold is a submanifold in a jet bundle, and a nonholonomic system is modelled as an exterior differential system on the constraint manifold. The approach admits to apply coordinate independent methods, and is not limited to Lagrangian systems under linear constraints. The new methods apply to general (possibly nonconservative) mechanical systems subject...
Geometric methods in study of the stability of some dynamical systems.
Geometric prequantization of a generalized mechanical system.
Geometric Quantization and Multiplicities of Group Representations.
Geometric quantization and no-go theorems
A geometric quantization of a Kähler manifold, viewed as a symplectic manifold, depends on the complex structure compatible with the symplectic form. The quantizations form a vector bundle over the space of such complex structures. Having a canonical quantization would amount to finding a natural (projectively) flat connection on this vector bundle. We prove that for a broad class of manifolds, including symplectic homogeneous spaces (e.g., the sphere), such connection does not exist. This is a...
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Geometric Quantization on Presymplectic Manifolds.
Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to -shifts
This article is devoted to the study of the translation flow on self-similar tilings associated with a substitution of Pisot type. We construct a geometric representation and give necessary and sufficient conditions for the flow to have pure discrete spectrum. As an application we demonstrate that, for certain beta-shifts, the natural extension is naturally isomorphic to a toral automorphism.
Geometric realizations of bi-Hamiltonian completely integrable systems.