02747nam 2200517 450 991067434480332120230517122909.09783031214981(electronic bk.)978303121497410.1007/978-3-031-21498-1(MiAaPQ)EBC7203964(Au-PeEL)EBL7203964(CKB)26162109500041(DE-He213)978-3-031-21498-1(PPN)268205981(EXLCZ)992616210950004120230517d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierOn coexistence patterns hierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling /Sindre W. Haugland1st ed. 2023.Cham, Switzerland :Springer,[2023]©20231 online resource (340 pages)Springer thesesPrint version: Haugland, Sindre W. On Coexistence Patterns Cham : Springer International Publishing AG,c2023 9783031214974 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.Springer theses. .Nonlinear oscillationsNonlinear oscillatorsSymmetry (Physics)Nonlinear oscillations.Nonlinear oscillators.Symmetry (Physics)003.857Haugland Sindre W.1338130MiAaPQMiAaPQMiAaPQ9910674344803321On Coexistence Patterns3057938UNINA