Generating operator of or Gaudin transfer matrices has quasi-exponential kernel.
Generation of nonlinear ordinary differential equations with given Lie algebra of point symmetries. (Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien.)
Generation theory for semigroups of holomorphic mappings in Banach spaces.
Generic and stability properties of reciprocal and pseudogradient vector fields
Generic bifurcation of reversible vector fields on a 2-bidimensional manifold.
In this paper we deal with reversible vector fields on a 2-dimensional manifold having a codimension one submanifold as its symmetry axis. We classify generically the one parameter families of such vector fields. As a matter of fact, aspects of structural stability and codimension one bifurcation are analysed.
Generic bifurcations of second order ordinary differential equations on differentiable manifolds
Generic bifurcations of vector fields with a singularity of codimension 3
Generic measures for geodesic flows on nonpositively curved manifolds
We study the generic invariant probability measures for the geodesic flow on connected complete nonpositively curved manifolds. Under a mild technical assumption, we prove that ergodicity is a generic property in the set of probability measures defined on the unit tangent bundle of the manifold and supported by trajectories not bounding a flat strip. This is done by showing that Dirac measures on periodic orbits are dense in that set.In the case of a compact surface, we get the following sharp result:...
Generic one-parameter families of vector fields on two-dimensional manifolds
Generic one-parameter flows on the torus and bifurcations of periodic orbits
Generic properties of some boundary value problems for differential equations
Generic Property Of Tonelli's Method For Ordinary Differential Equations.
Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.
Genericità dell'iperbolicità nei sistemi differenziali lineari di dimensione due
Geometric aspects of higher-order eigenvalue problems. I: Structures on spaces of boundary conditions.
Geometric dynamics of calcium oscillations ODEs systems.
Geometric linearization of ordinary differential equations.
Geometry of isotypic Kronecker webs
An isotypic Kronecker web is a family of corank m foliations such that the curve of annihilators t ↦ (T x F t)⊥ ∈ Grm(T x* M) is a rational normal curve in the Grassmannian Grm(T x*M) at any point x ∈ M. For m = 1 we get Veronese webs introduced by I. Gelfand and I. Zakharevich [Gelfand I.M., Zakharevich I., Webs, Veronese curves, and bi-Hamiltonian systems, J. Funct. Anal., 1991, 99(1), 150–178]. In the present paper, we consider the problem of local classification of isotypic Kronecker webs...
Geometry of second-order connections and ordinary differential equations
The geometry of second-order systems of ordinary differential equations represented by -connections on the trivial bundle is studied. The formalism used, being completely utilizable within the framework of more general situations (partial equations), turns out to be of interest in confrontation with a traditional approach (semisprays), moreover, it amounts to certain new ideas and results. The paper is aimed at discussion on the interrelations between all types of connections having to do with...
Geometry of stochastic delay differential equations.