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2008

2008

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

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2006

2006

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

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2005

2005

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

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Highly Cited

1994

Highly Cited

1994

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

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1992

1992

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

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1990

1990

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

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1986

1986

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

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1979

1979

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

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1976

1976

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

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1968