Synchronisation under shocks: the Lévy Kuramoto model

DOI10.1016/j.physd.2017.12.005zbMath1381.34054OpenAlexW2774949428MaRDI QIDQ1699515

Alexander C. Kalloniatis, Dale O. Roberts

Publication date: 23 February 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1885/139174

zbMATH Keywords

networknoiseoscillatorsynchronisationtempered heavy tail

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

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Cites Work

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• On simulation of tempered stable random variates
• Synchronization in complex networks of phase oscillators: a survey
• Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type
• Chemical oscillations, waves, and turbulence
• Tempered stable Lévy motion and transient super-diffusion
• Fixed points and stability in the two-network frustrated Kuramoto model
• Synchronisation of networked Kuramoto oscillators under stable Lévy noise
• Stochastic (in)stability of synchronisation of oscillators on networks
• Transport in the spatially tempered, fractional Fokker–Planck equation
• There is no non-zero stable fixed point for dense networks in the homogeneous Kuramoto model
• The Diffusion Decision Model: Theory and Data for Two-Choice Decision Tasks