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On Coexistence Patterns : Hierarchies of Intricate Partially Symmetric Solutions to Stuart-Landau Oscillators with Nonlinear Global Coupling / by Sindre W. Haugland

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Theses, Recognizing Outstanding Ph.D. ResearchPublisher: Cham : Springer, 2023Copyright date: © 2023Description: 1 Online-Ressource (XIX, 325 Seiten) : IllustrationenISBN:
  • 9783031214981
Subject(s): Genre/Form: Additional physical formats: 9783031214974 | 9783031214998 | 9783031215001 | Erscheint auch als: 9783031214974 Druck-Ausgabe | Erscheint auch als: 9783031214998 Druck-Ausgabe | Erscheint auch als: 9783031215001 Druck-AusgabeDDC classification:
  • 530.1 23
DOI: DOI: 10.1007/978-3-031-21498-1Online resources: Dissertation note: Dissertation - Technical University of Munich Summary: Outline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook.Summary: This book is about coexistence patterns in ensembles of globally coupled nonlinear oscillators. Coexistence patterns in this respect are states of a dynamical system in which the dynamics in some parts of the system differ significantly from those in other parts, even though there is no underlying structural difference between the different parts. In other words, these asymmetric patterns emerge in a self-organized manner. As our main model, we use ensembles of various numbers of Stuart-Landau oscillators, all with the same natural frequency and all coupled equally strongly to each other. Employing computer simulations, bifurcation analysis and symmetry considerations, we uncover the mechanism behind a wide range of complex patterns found in these ensembles. Our starting point is the creation of so-called chimeras, which are subsequently treated within a new and broader context of related states.PPN: PPN: 1837692688Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-PHA | ZDB-2-SXP
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