Ju Hyon Hui

Criteria of chaos for discrete dynamical systems and application of them to the anti-control of chaos

University of Rostock, Institute of Mathematics, 2006

https://doi.org/10.18453/rosdok_id00005833

Abstract: 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.

working paper   free access