Stability of Twisted States in the Kuramoto Model on Cayley and Random Graphs

Georgi S. Medvedev, Xuezhi Tang

Type: Article

Publication Date: 2015-04-24

Citations: 31

DOI: https://doi.org/10.1007/s00332-015-9252-y

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Journal of Nonlinear Science - View
arXiv (Cornell University) - View - PDF
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+	On the Landscape of Synchronization Networks: A Perspective from Nonconvex Optimization	2018	Shuyang Ling Ruitu Xu Afonso S. Bandeira
+	The mean field analysis of the Kuramoto model on graphs II. Asymptotic stability of the incoherent state, center manifold reduction, and bifurcations	2017	Hayato Chiba Georgi S. Medvedev
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+	Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion	2022	Itsuki Watanabe Hiroshi Toyoizumi
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Works Cited by This (22)

Action	Title	Year	Authors
+	Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations	1966	Wilhelm Magnus A. Karrass D. Solitar
+	Algebraic Graph Theory	1974	Norman Biggs
+ PDF Chat	On the Spectra of General Random Graphs	2011	Fan Chung Mary Radcliffe
+	Spectral Graph Theory	1996	Fan Chung
+	Pseudo-random Graphs	2006	Michael Krivelevich Benny Sudakov
+	Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators	2002	Yoshiki Kuramoto Dorjsuren Battogtokh
+ PDF Chat	Small-world networks of Kuramoto oscillators	2013	Georgi S. Medvedev
+ PDF Chat	The Nonlinear Heat Equation on W-Random Graphs	2013	Georgi S. Medvedev
+	Quasi-random graphs	1988	Fan Chung Ron Graham R. Wilson
+ PDF Chat	Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators	2012	Florian Dörfler Francesco Bullo