Morse Fall Scale panel:Finding:Point in time:^Patient:Ordinal

The paper is devoted to finding conditions to the existence of a self-indexing energy function for Morse-Smale diffeomorphisms on… Expand

This paper describes an efficient combinatorial method for simplification of topological features in a 3D scalar function. The… Expand

For a C 1 -smooth bump function b: R 2 → R we show that the gradient range ⊇b(R 2 ) is the closure of its interior, provided that… Expand

A gradient flow of a Morse function on a compact Riemannian manifold is said to be of Morse-Smale type if the stable and unstable… Expand

A gradient flow of a Morse function on a compact Riemannian manifold is said to be of Morse-Smale type if the stable and unstable… Expand

We provide in this paper a complete set of invariants for differentiable conjugacies of Morse-Smale diffeomorphisms. In the… Expand

The question of how complicated a critical set must be to have a nonnull image is answered by relating its Hausdorff dimension to… Expand

For orientation preserving diffeomorphisms on the torus necessary and sufficient conditions are given for an isotopy class to… Expand

A new procedure for investigating the global observability of classes of nonlinear differential equations is proposed. The method… Expand

We consider here arcs of diffeomorphisms which, being initially structurally stable, go through "brusque" changes (or… Expand