In dynamical systems theory, Conley index theory, named after Charles Conley, analyzes topological structure of invariant sets of diffeomorphisms andâ€¦Â (More)

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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 onâ€¦Â (More)

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2012

2012

- Rafael M. Frongillo, Rodrigo TreviÃ±o
- SIAM J. Applied Dynamical Systems
- 2012

We present new methods of automating the construction of index pairs, essential ingredients of discrete Conley index theoryâ€¦Â (More)

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2010

2010

- Christian Kuehn
- 2010

Geometric Singular Perturbation Theory (GSPT) and Conley Index Theory are two powerful techniques to analyze dynamical systemsâ€¦Â (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 toâ€¦Â (More)

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2006

2006

- Qing Hui, W. M. Haddad
- Proceedings of the 45th IEEE Conference onâ€¦
- 2006

In this paper, we use Conley index theory to develop necessary and sufficient conditions for stability of equilibrium andâ€¦Â (More)

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2006

2006

- Zhenxin Liu
- 2006

Conley index theory is a very powerful tool in the study of dynamical systems, differential equations and bifurcation theory. Inâ€¦Â (More)

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2003

2003

- Huijun Fan, JÃ¼rgen Jost
- 2003

We derive general Novikov-Morse type inequalities in a Conley type framework for flows carrying cocycles, therefore generalizingâ€¦Â (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 filtrationâ€¦Â (More)

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1997

1997

- Tomasz Kaczynski
- 1997

The deenitions of isolating block, index pair, and the Conley index, together with the proof of homotopy and additivityâ€¦Â (More)

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1996

1996

- Marian Mrozek, James F. Reineck, Roman Srzednickiy
- 1996

We construct a generalization of the Conley index for ows. The new index preserves information which in the classical case isâ€¦Â (More)

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