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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… 
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Related topics

Related topics

2 relations
Bifurcation theoryDynamical systems theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Reeb dynamics of the link of the An singularity
The link of the $A_n$ singularity, $L_{A_n} \subset \mathbb{C}^3$ admits a natural contact structure $\xi_0$ coming from the set… 
2010
2010
Efficient Automation of Index Pairs in Computational Conley Index Theory
We present new methods of automating the construction of index pairs, essential ingredients of discrete Conley index theory… 
2006
2006
The Conley Index for Discrete Semidynamical Systems
We construct a discrete version of the Conley index over a base defined for flow.The index generalizes the homotopy Conley index. 
2006
2006
Stability Analysis of Nonlinear Dynamical Systems using Conley Index Theory
  • Qing HuiW. Haddad
  • Proceedings of the 45th IEEE Conference on…
  • 2006
  • Corpus ID: 42886723
In this paper, we use Conley index theory to develop necessary and sufficient conditions for stability of equilibrium and… 
1999
1999
Conley index for set-valued maps: from theory to computation
Recent results on the Conley index theory for discrete multi-valued dynamical systems with their consequences for the computation… 
1997
1997
From Time Series to Symbolic Dynamics: an Algebraic Topological Approach
A new approach to constructing a dynamical systems model from experimental time series data is presented. Using the the ideas of… 
1996
1996
The generalized Conley index and multiple solutions of semilinear elliptic problems
We establish some framework so that the generalized Conley index can be easily used to study the multiple solution problem of… 
1995
1995
The Conley index and global bifurcations, Part I : Concepts and theory ; Part II : Illustrative applications
The Morse index is deened for a hyperbolic equilibrium point of a vector eld as the dimension of its unstable manifold. This… 
1995
1995
Equivalence of Topological and Singular TransitionMatrices in the Conley Index
1988
1988
Travelling wave solutions to a gradient system
Soit un systeme d'equations de reaction-diffusion ou la non-linearite derive d'un potentiel avec certaines restrictions, on… 
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