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CMA
2011
13 years 7 months ago
Detecting critical regions in multidimensional data sets
We propose a new approach, based on the Conley index theory, for the detection and classification of critical regions in multidimensional data sets. The use of homology groups ma...
Madjid Allili, David Corriveau, Sara Deriviè...
MOC
1998
104views more  MOC 1998»
14 years 3 days ago
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details
Abstract. Details of a new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The technique abstract existence results based...
Konstantin Mischaikow, Marian Mrozek
FOCM
2006
87views more  FOCM 2006»
14 years 14 days ago
Index Pairs Algorithms
We introduce some modifications and extensions of the concept od index pair in the Conley index theory. We then show how these concepts may be used to overcome some difficulties in...
Marian Mrozek