11 citations · 23 across the 15 of their papers we have counts for
17 papers
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…
Graded differential groups, Cartan-Eilenberg systems and conjectures in Conley index theory
Kelly Spendlove, Robert Vandervorst
Cartan-Eilenberg systems play an prominent role in the homological algebra of filtered and graded differential groups and (co)chain complexes in particular. We define the concept o…
The algebra of semi-flows: a tale of two topologies
Kelly Spendlove, Robert Vandervorst
To capture the global structure of a dynamical system we reformulate dynamics in terms of appropriately constructed topologies, which we call flow topologies; we call this process…
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…
Rabinowitz Floer homology for tentacular Hamiltonians
Federica Pasquotto, Robert Vandervorst, Jagna Wiśniewska
This paper extends the definition of Rabinowitz Floer homology to non-compact hypersurfaces. We present a general framework for the construction of Rabinowitz Floer homology in the…
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…