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Search results for: Morse%20decomposition
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Index filtrations and Morse decomposition for discrete dynamical systems
PublicationOn a Morse decomposition of an isolated invariant set of a homeomorphism(discrete dynamical system) there are partial orderings defined by the homeomorphism.These are called admissible orderings of the...
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ASCOT – More than a horse race!
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Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition
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Equivariant Morse equation
PublicationThe paper is concerned with the Morse equation for flows in a representation of a compact Lie group. As a consequence of this equation we give a relationship between the equivariant Conley index of an isolated invariant set of the flow given by x˙ = − ∇f(x) and the gradient equivariant degree of ∇f. Some multiplicity results are also presented.
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Morse inequalities via Conley index theory
PublicationThe relation known as the Morse inequalities can be extended to a more general setting of flows on a locally compact metric spaces (Conley index) as well as dynamical systems on Hilbert spaces (LS-index). This paper is a discourse around this extension. Except the part concerning the LS-index the material is self-contained and has a character of a survey.
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Morze możliwości
PublicationZ Karolem Moszykiem, Kierownikiem ds. Rozwoju Operacyjnego/ Lean Six Sigma Black Belt, DCT Gdańsk SA i prelegentem pierwszego Gdańskiego Manager Clubu - o ciągłbym doskonaleniu w głębokowodnym terminalu kontenerowym - rozmawiał Łukasz Rogatka
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Index filtrations and Morse decompositions for discrete dynamical systems
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Morse cohomology in a Hilbert space via the Conley index
PublicationThe main theorem of this paper states that Morse cohomology groups in a Hilbert space are isomorphic to the cohomological Conley index. It is also shown that calculating the cohomological Conley index does not require finite-dimensional approximations of the vector field. Further directions are discussed.
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Eye-mouse for disabled
PublicationW pracy przedstawiono projekt urządzenia umożliwiającego komunikację z komputerem za pomocą ruchów gałki ocznej osobom niepełnosprawnym