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math.DS2023
Computing the Conley Index: a Cautionary Tale
Konstantin Mischaikow, Charles Weibel
This paper concerns the computation and identification of the (homological) Conley index over the integers, in the context of discrete dynamical systems generated by continuous map…
math.DS2014
Lattice Structures for Attractors II
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
The algebraic structure of the attractors in a dynamical system determine much of its global dynamics. The collection of all attractors has a natural lattice structure, and this st…