Nonautonomous Conley index: theory and applications Jänig, Axel , 1982- (VerfasserIn) Rybakowski, Krzysztof , 1951- (AkademischeR BetreuerIn) Bartsch, Thomas (AkademischeR BetreuerIn) Siegmund, Stefan , 1970- (AkademischeR BetreuerIn) Universität Rostock (Grad-verleihende Institution) Universität Rostock Mathematisch-Naturwissenschaftliche Fakultät (Grad-verleihende Institution) Text theses Text Hochschulschrift 2016 2016 eng electronic resourceremoteComputermedienOnline-Ressource1 Online-Ressource Conley index theory associates isolated invariant sets with an index e.g, a topological space. This theory is generalized to nonautonomous dynamical systems. A corresponding theory of Morse-decompositions is developed. Applications to dynamical systems obtained from ordinary and partial differential equations are discussed.<eng> vorgelegt von Axel Jänig Habilitationsschrift Universität Rostock 2017 510 SK 500 http://purl.uni-rostock.de/rosdok/id00002355 Nonautonomous Conley index--(DE-627)1001939352 urn:nbn:de:gbv:28-diss2018-0182-8 doi: 10.18453/rosdok_id00002355 ppn: (DE-627)104209358X