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Synchronization and Waves in Active Media / Jan Frederik Totz

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Theses Recognizing Outstanding Ph.D. Research | Springer Theses, Recognizing Outstanding Ph.D. Research | SpringerLink Bücher | Springer eBook CollectionPublisher: Cham : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XII, 164 Seiten) : Illustrationen, DiagrammeISBN:
  • 9783030110574
Subject(s): Genre/Form: Additional physical formats: 9783030110567 | 9783030110581 | Erscheint auch als: 978-3-030-11056-7 Druck-AusgabeDDC classification:
  • 621
LOC classification:
  • QC174.7-175.36
DOI: DOI: 10.1007/978-3-030-11057-4Online resources: Dissertation note: Dissertation - Technische Universität Berlin Summary: The interplay between synchronization and spatio-temporal pattern formation is central for a broad variety of phenomena in nature, such as the coordinated contraction of heart tissue, associative memory and learning in neural networks, and pathological synchronization during Parkinson disease or epilepsy. In this thesis, three open puzzles of fundametal research in Nonlinear Dynamics are tackled: How does spatial confinement affect the dynamics of three-dimensional vortex rings? What role do permutation symmetries play in the spreading of excitation waves on networks? Does the spiral wave chimera state really exist? All investigations combine a theoretical approach and experimental verification, which exploit an oscillatory chemical reaction. A novel experimental setup is developed that allows for studying networks with N > 1000 neuromorphic relaxation oscillators. It facilitates the free choice of network topology, coupling function as well as its strength, range and time delay, which can even be chosen as time-dependent. These experimental capabilities open the door to a broad range of future experimental inquiries into pattern formation and synchronization on large networks, which were previously out of reachSummary: Introduction -- Confined Scroll Rings -- Target Wave Synchronization on a Network -- Spiral Wave Chimera -- Appendix: Dimensional Reduction of Oscillators and Oscillatory PatternsPPN: PPN: 1048362892Package identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP
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