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Conley index theory

Known as: Conley, Conley index 
In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms and… Expand
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Papers overview

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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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