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Dynamic Responses of Networks under Perturbations: Solutions, Patterns and Predictions

dc.contributor.advisorTimme, Marc Prof. Dr.
dc.contributor.authorZhang, Xiaozhu
dc.date.accessioned2018-05-31T09:48:05Z
dc.date.available2018-05-31T09:48:05Z
dc.date.issued2018-05-31
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-002E-E409-2
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-6898
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc530de
dc.titleDynamic Responses of Networks under Perturbations: Solutions, Patterns and Predictionsde
dc.typedoctoralThesisde
dc.contributor.refereeTimme, Marc Prof. Dr.
dc.date.examination2018-01-11
dc.subject.gokPhysik (PPN621336750)de
dc.description.abstractengExternal perturbations are omnipresent in the dynamics of oscillator networks across biology, physics and engineering. How such networks dynamically respond to fluctuating perturbation signals fundamentally underlies their function, yet is not well understood. In this thesis we investigate the dynamic responses of diffusively coupled oscillator networks to spatiotemporal perturbations close to a normal operation state. Employing methods such as linear response theory and asymptotic analysis, we discover a way to systematically link the second-order network dynamics to the network topology, thus obtain analytical insights into the patterns rising in the dynamic network responses. We study network response patterns in two timescales: (i) the long-term steady pattern driven by the external signals, and (ii) the short-term transient pattern in the spreading behaviour of a single signal. Based on the findings, we also propose practical schemes to accurately predict network responses in different timescales.de
dc.contributor.coRefereeKree, Reiner Prof. Dr.
dc.contributor.thirdRefereeParlitz, Ulrich Prof. Dr.
dc.subject.engoscillator networksde
dc.subject.engnonlinear dynamicsde
dc.subject.engresponse patternsde
dc.subject.engperturbation spreadingde
dc.subject.engpower gridsde
dc.identifier.urnurn:nbn:de:gbv:7-11858/00-1735-0000-002E-E409-2-4
dc.affiliation.instituteFakultät für Physikde
dc.identifier.ppn1023599392


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