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math.DS2013
Lattice Structures for Attractors I
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
We describe the basic lattice structures of attractors and repellers in dynamical systems. The structure of distributive lattices allows for an algebraic treatment of gradient-like…
math.DS2013★ 11 cited
Morse-Conley-Floer Homology
T. O. Rot, R. C. A. M. Vandervorst
For Morse-Smale pairs on a smooth, closed manifold the Morse-Smale-Witten chain complex can be defined. The associated Morse homology is isomorphic to the singular homology of the…