Feedback control of complex oscillatory systems [Elektronische Ressource] / von Natalia Tukhlina

Institut fu¨r PhysikArbeitsgruppe “Nichtlineare Dynamik”Feedback Control of ComplexOscillatory SystemsDissertationzur Erlangung des akademischen Grades“doctor rerum naturalium”(Dr. rer. nat.)in der Wissenschaftsdisziplin “Theoretische Physik”eingereicht an derMathematisch-Naturwissenschaftlichen Fakult¨atder Universit¨at PotsdamvonNatalia TukhlinaPotsdam, Februar 2008This work is licensed under a Creative Commons License: Attribution - Noncommercial - Share Alike 3.0 Unported To view a copy of this license visit http://creativecommons.org/licenses/by-nc-sa/3.0/ Online published at the Publikationsserver der Universität Potsdam: http://opus.kobv.de/ubp/volltexte/2008/1854/ urn:nbn:de:kobv:517-opus-18546 [http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-18546] ContentsAbstract iiiZusammenfassung v1 Introduction 12 Feedback suppression of neural synchrony by vanishing stimula-tion 72.1 Controlling neural synchrony . . . . . . . . . . . . . . . . . . . . . 82.1.1 Electrical stimulation of brain structures . . . . . . . . . . 82.1.2 Development of model-based stimulation techniques . . . . 92.1.3 Synchrony in neural populations . . . . . . . . . . . . . . . 92.1.4 Suggested approach . . . . . . . . . . . . . . . . . . . . . . 102.2 Stabilization of an active oscillator by a passive one . . . . . . 122.3 Control of synchrony in neural ensembles . . . . . . . . .