Geodesic Flow on SO(4) and Abelian Surfaces.
Geodesic flows on the Bott-Virasoro group with Dubinskii norm.
Geodesics and Totally Convex Sets on Surfaces.
Geodesics in the compactly supported Hamiltonian diffeomorphism group.
Geodesics on open surfaces containing horns
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.