Eylem Seç
Synchronization Unlocked: Spirals, Zetas, Rings, and Glasses
Başlık:
Synchronization Unlocked: Spirals, Zetas, Rings, and Glasses
Yazar:
Ottino-Löffler, Bertrand Julien, author. (orcid)0000-0001-6839-5510
ISBN:
9780438026100
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (113 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Includes supplementary digital materials.
Advisors: Steven H. Strogatz Committee members: Christopher R. Myers; Richard H. Rand.
Özet:
Here, we study networks of coupled oscillators. Specifically, we identify phenomenology at or near a synchronization threshold in four distinct cases. First, we identify a novel spatiotemporal pattern in the two-dimensional Kuramoto lattice with periodic boundary conditions. This pattern appears as a two-armed rotating spiral in the spatial variation of the oscillators' instantaneous frequencies; hence the name "frequency spirals." Second, we look at a large (but finite) number N of globally coupled oscillators in the special case where the natural frequencies are evenly spaced on a given interval. With these conditions, a leading order correction to the locking threshold is derivable, and scales according to N --3/2. Thirdly, we do a case study on how topology can affect synchronization by comparing the locking threshold for a ring and chain of oscillators. Given identical initial phases and random natural frequencies, the ratio of locking thresholds is given upper and lower bounds which depend only on the shape of the coupling function. Finally, we examine a population of oscillators with random coupling strengths distributed across zero. A quarter century ago, a "volcano transition" was identified in such a model, but by using a particular coupling matrix construction, we present the first results analytically characterizing the transition point.
Notlar:
School code: 0058
Tüzel Kişi Ek Girişi:
Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(680245.1) | 680245-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
On Order
Liste seç
Bunu varsayılan liste yap.
Öğeler başarıyla eklendi
Öğeler eklenirken hata oldu. Lütfen tekrar deneyiniz.
:
Select An Item
Data usage warning: You will receive one text message for each title you selected.
Standard text messaging rates apply.