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… (More)
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Topic mentions per year

Topic mentions per year

1985-2016
05101519852016

Papers overview

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2016
2016
This is an expository paper about Seiberg-Witten Floer stable homotopy types. We outline their construction, which is based on… (More)
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2012
2012
We present new methods of automating the construction of index pairs, essential ingredients of discrete Conley index theory… (More)
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2010
2010
Geometric Singular Perturbation Theory (GSPT) and Conley Index Theory are two powerful techniques to analyze dynamical systems… (More)
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2007
2007
A brief introduction to the Conley index theory is presented. The emphasis is the fundamental ideas of Conley's approach to… (More)
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2006
2006
In this paper, we use Conley index theory to develop necessary and sufficient conditions for stability of equilibrium and… (More)
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2006
2006
Conley index theory is a very powerful tool in the study of dynamical systems, differential equations and bifurcation theory. In… (More)
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2003
2003
We derive general Novikov-Morse type inequalities in a Conley type framework for flows carrying cocycles, therefore generalizing… (More)
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2000
2000
In this paper we introduce filtration pairs for isolated invariant sets of continuous maps. We prove the existence of filtration… (More)
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1997
1997
The deenitions of isolating block, index pair, and the Conley index, together with the proof of homotopy and additivity… (More)
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1996
1996
We construct a generalization of the Conley index for ows. The new index preserves information which in the classical case is… (More)
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