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2010

2010

Conley's index theory provides powerful tools to prove either the existence or the nonexistence of connecting orbits between… Expand

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Highly Cited

2003

Highly Cited

2003

Abstract. We present algorithms for constructing a hierarchy of increasingly coarse Morse—Smale complexes that decompose a… Expand

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Highly Cited

2000

Highly Cited

2000

Abstract We present a new topological method for the study of the dynamics of dissipative PDEs. The method is based on the… Expand

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2000

2000

This paper is devoted to giving the theoretical background for an algorithm for computing homomorphisms induced by maps in… Expand

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Highly Cited

1999

Highly Cited

1999

Disclosed is a communication apparatus in which coding and/or decoding parameters for coding and/or decoding data can be… Expand

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1999

1999

A brief introduction to the Conley index theory is presented. The emphasis is the fundamental ideas of Conley’s approach to… Expand

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1994

1994

We present a scheme for constructing various Conley indices for locally defined maps. In particular, we extend the shape index of… Expand

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1992

1992

Given invariant sets A, B, and C, and connecting orbits A → B and B → C, we state very general conditions under which they… Expand

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Highly Cited

1988

Highly Cited

1988

The Conley index of an isolated invariant set is defined only for flows; we construct an analogue called the ‘shape index’ for… Expand

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1988

1988

The role in the Conley index of mappings between flows is considered. A class of maps is introduced which induce maps on the… Expand

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