Emergent dynamics of Winfree oscillators on locally coupled networks

Title
Emergent dynamics of Winfree oscillators on locally coupled networks
Author
박진영
Keywords
Oscillator death; Phase model; Phase-locked state; Synchronization; Winfree model
Issue Date
2016-03
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Citation
JOURNAL OF DIFFERENTIAL EQUATIONS, v. 260, NO 5, Page. 4203-4236
Abstract
The Winfree model is the first mathematical model for synchronization of weakly coupled oscillators. Compared to the well-known Kuramoto model, the Winfree model does not conserve the total phase. This leads to rich dynamic features compared to those produced by other phase models. In this paper, we study the emergent dynamics of the Winfree model on a locally coupled static network. A randomly chosen phase configuration undergoes several dynamic phase transitions such as incoherence, partial locking, complete locking, partial oscillator death, and complete oscillator death, as the coupling strength increases. We provide several rigorous analytical results on the emergence of these dynamic features. We also provide several numerical simulations and compare their results to the analytical results. (C) 2015 Elsevier Inc. All rights reserved.
URI
http://www.sciencedirect.com/science/article/pii/S0022039615006142?via%3Dihubhttp://hdl.handle.net/20.500.11754/36271
ISSN
0022-0396; 1090-2732
DOI
10.1016/j.jde.2015.11.008
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE