LEADER 02747nam 2200517 450 001 9910674344803321 005 20230517122909.0 010 $a9783031214981$b(electronic bk.) 010 $z9783031214974 024 7 $a10.1007/978-3-031-21498-1 035 $a(MiAaPQ)EBC7203964 035 $a(Au-PeEL)EBL7203964 035 $a(CKB)26162109500041 035 $a(DE-He213)978-3-031-21498-1 035 $a(PPN)268205981 035 $a(EXLCZ)9926162109500041 100 $a20230517d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOn coexistence patterns $ehierarchies of intricate partially symmetric solutions to Stuart-Landau oscillators with nonlinear global coupling /$fSindre W. Haugland 205 $a1st ed. 2023. 210 1$aCham, Switzerland :$cSpringer,$d[2023] 210 4$dİ2023 215 $a1 online resource (340 pages) 225 1 $aSpringer theses 311 08$aPrint version: Haugland, Sindre W. On Coexistence Patterns Cham : Springer International Publishing AG,c2023 9783031214974 327 $aOutline -- General Background -- From Two-Cluster State to Chimera -- Coexistence Patterns of Four Oscillators -- A Hierarchy of Solutions for N = 2n -- Conclusion and Outlook. 330 $aThis book is about coexistence patterns in ensembles of globally coupled nonlinear oscillators. Coexistence patterns in this respect are states of a dynamical system in which the dynamics in some parts of the system differ significantly from those in other parts, even though there is no underlying structural difference between the different parts. In other words, these asymmetric patterns emerge in a self-organized manner. As our main model, we use ensembles of various numbers of Stuart-Landau oscillators, all with the same natural frequency and all coupled equally strongly to each other. Employing computer simulations, bifurcation analysis and symmetry considerations, we uncover the mechanism behind a wide range of complex patterns found in these ensembles. Our starting point is the creation of so-called chimeras, which are subsequently treated within a new and broader context of related states. 410 0$aSpringer theses. . 606 $aNonlinear oscillations 606 $aNonlinear oscillators 606 $aSymmetry (Physics) 615 0$aNonlinear oscillations. 615 0$aNonlinear oscillators. 615 0$aSymmetry (Physics) 676 $a003.857 700 $aHaugland$b Sindre W.$01338130 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910674344803321 996 $aOn Coexistence Patterns$93057938 997 $aUNINA