11 citations · 23 across the 15 of their papers we have counts for
11 papers · 1 filter
Priestley duality and representations of recurrent dynamics
William Kalies, Robert Vandervorst
For an arbitrary dynamical system there is a strong relationship between global dynamics and the order structure of an appropriately constructed Priestley space. This connection pr…
Lattice Structures for Attractors III
William D. Kalies, Konstantin Mischaikow, Robert C. A. M. Vandervorst
The theory of bounded, distributive lattices provides the appropriate language for describing directionality and asymptotics in dynamical systems. For bounded, distributive lattice…
Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces
Marek Izydorek, Thomas O. Rot, Maciej Starostka +2
In this paper we introduce a new compactness condition - Property (C) - for flows in (not necessary locally compact) metric spaces. For such flows a Conley type theory can be devel…
Symplectomorphisms and discrete braid invariants
Aleksander Czechowski, Robert Vandervorst
Area and orientation preserving diffeomorphisms of the standard 2-disc, referred to as symplectomorphisms of , allow decompositions in terms of positive twist diffe…
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…
Functoriality and duality in Morse-Conley-Floer homology
T. O. Rot, R. C. A. M. Vandervorst
In~\cite{rotvandervorst} a homology theory --Morse-Conley-Floer homology-- for isolated invariant sets of arbitrary flows on finite dimensional manifolds is developed. In this pape…