%0 Book %T Criteria of chaos for discrete dynamical systems and application of them to the anti-control of chaos %A Hui, Ju Hyon %S Preprints aus dem Institut für Mathematik %D 2006 %C Germany; Rostock %G English %F 1986769801 %O Ju Hyon Hui %X In this paper we study criteria of chaos for discrete dynamical Systems governed by noninvertible maps and apply them to the anti-control of chaos. We get some criteria of chaos for discrete dynamical systems governed by noninvertible maps using the subshift in the space of one-side symbolic sequences, and discuss the structural stability of chaotic invariant subsets on a Riemann manifold, and generic chaos. And using these criteria of chaos, we get more generalized conditions to design a controller for the anti-control of chaos. %L 510 %9 Text %R 10.18453/rosdok_id00005833 %U https://purl.uni-rostock.de/rosdok/id00005833 %U https://doi.org/10.18453/rosdok_id00005833