Coherence and synchronization of noisy driven oscillators [Elektronische Ressource] / von Denis S. Goldobin

Institut fu¨r PhysikArbeitsgruppe “Statistische Physik/Chaostheorie”Coherence and Synchronizationof Noisy-Driven OscillatorsDissertationzur Erlangung des akademischen Grades“doctor rerum naturalium”(Dr. rer. nat.)in der Wissenschaftsdisziplin “Theoretische Physik”eingereicht an derMathematisch–Naturwissenschaftlichen Fakult¨atder Universit¨at PotsdamvonDenis S. Goldobingeboren am 30. September 1981 in Perm (Rußland)Potsdam, den Mai 2007This work is licensed under the Creative Commons Attribution-Noncommercial-No DerivativeWorks 2.0 Germany License. To view a copy of this license, visithttp://creativecommons.org/licenses/by-nd/2.0/de/ or send a letter to CreativeCommons, 171 Second Street, Suite 300, San Francisco, California, 94105, USA.Elektronisch ver¨offentlicht auf demPublikationsserver der Universit¨at Potsdam:http://opus.kobv.de/ubp/volltexte/2007/1504/urn:nbn:de:kobv:517-opus-15047[http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-15047]AbstractIn the present dissertation paper we study problems related to synchronization phe-nomena in the presence of noise which unavoidably appears in real systems. One part ofthe work is aimed at investigation of utilizing delayed feedback to control properties ofdiverse chaotic dynamic and stochastic systems, with emphasis on the ones determiningpredisposition to synchronization. Other part deals with a constructive role of noise, i.e.its ability to synchronize identical self-sustained oscillators.