Online-Ressource
Verfasst von:	Haugland, Sindre W. [VerfasserIn]
Titel:	On Coexistence Patterns
Titelzusatz:	Hierarchies of Intricate Partially Symmetric Solutions to Stuart-Landau Oscillators with Nonlinear Global Coupling
Verf.angabe:	by Sindre W. Haugland
Verlagsort:	Cham
Verlag:	Springer
E-Jahr:	2023
Jahr:	2023.
Umfang:	1 Online-Ressource (XIX, 325 Seiten)
Illustrationen:	Illustrationen
Gesamttitel/Reihe:	Springer Theses, Recognizing Outstanding Ph.D. Research
Hochschulschrift:	Dissertation, Technical University of Munich
ISBN:	978-3-031-21498-1
Abstract:	Outline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook.
	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.
DOI:	doi:10.1007/978-3-031-21498-1
URL:	Resolving-System: https://doi.org/10.1007/978-3-031-21498-1
	DOI: https://doi.org/10.1007/978-3-031-21498-1
Schlagwörter:	(s)Oszillator    / (s)Gekoppelte nichtlineare Schwingung    / (s)Muster <Struktur>
Datenträger:	Online-Ressource
Dokumenttyp:	Hochschulschrift
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe
	Erscheint auch als : Druck-Ausgabe
	Erscheint auch als : Druck-Ausgabe
K10plus-PPN:	1837692688
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Lokale URL UB:	Zum Volltext