Singularities of vector fields
Some Remarks on the Böhme-Berger Bifurcation Theorem.
Homoclinic Points in Conservative Systems.
Measure and category
The Lusternik-Schnirelman categories of a product space
Derivations of vector fields
Normal forms for certain singularities of vectorfields
normal forms are given for singularities of vectorfields on , which are not flat, and for vectorfields on with , the 1-jet of in the origin is a pure rotation, and some higher order jet of attracting or expanding.
Generic properties of closed geodesics on smooth hypersurfaces.
Generic Properties of Geodesic Flows.
On the Nature of Turbulence
General multifractal analysis of local entropies
We address the problem of the multifractal analysis of local entropies for arbitrary invariant measures. We obtain an upper estimate on the multifractal spectrum of local entropies, which is similar to the estimate for local dimensions. We show that in the case of Gibbs measures the above estimate becomes an exact equality. In this case the multifractal spectrum of local entropies is a smooth concave function. We discuss possible singularities in the multifractal spectrum and their relation to phase...
Examples of Manifolds which are Homogeneous Spaces de Lie Groups of Arbitrarily Large Dimension.
Bifurcations and stability of families of diffeomorphisms
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