Title:
Dynamics of Cyclic Feedback Systems

dc.contributor.author Gedeon, Tómaš
dc.contributor.author Mischaikow, Konstantin
dc.contributor.corporatename Georgia Institute of Technology. School of Mathematics
dc.contributor.corporatename Georgia Institute of Technology. Center for Dynamical Systems and Nonlinear Studies
dc.contributor.corporatename Montana State University (Bozeman, Mont.). Dept. of Mathematics
dc.date.accessioned 2009-08-13T14:54:24Z
dc.date.available 2009-08-13T14:54:24Z
dc.date.issued 1994-07-07
dc.description.abstract The dynamics of cyclic feedback systems are described. The emphasis is both in showing the diversity of possible dynamics in these systems and in showing that there is a underlying dynamic structure possessed by all these systems. In particular, for the special class of monotone cyclic feedback systems, the dynamics is fairly simple; the recurrent sets can only consist of fixed points or periodic orbits and in many cases can be shown to be Morse-Smale. This is contrasted with the general cyclic feedback systems for which chaotic dynamics can occur. The general properties which large subclasses of these systems have in common include periodic orbits and a semi-conjugacy onto a simple, non-trivial, model dynamical system. To describe all systems simultaneously, a purely topological description of the invariant sets is introduced. en
dc.description.sponsorship Research for the second author was supported in part by NSF Grant DMS-9101412. en
dc.identifier.uri http://hdl.handle.net/1853/29540
dc.language.iso en_US en
dc.publisher Georgia Institute of Technology en
dc.relation.ispartofseries CDSNS94-190 en
dc.subject Cyclic feedback systems en
dc.subject Monotone cyclic feedback systems en
dc.subject Chaotic dynamics en
dc.title Dynamics of Cyclic Feedback Systems en
dc.type Text
dc.type.genre Pre-print
dspace.entity.type Publication
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Mathematics
relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 84e5d930-8c17-4e24-96cc-63f5ab63da69
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