Synchronization of phase oscillators on the hierarchical lattice

DOI10.1007/s10955-018-2208-5zbMath1409.60142arXiv1703.02535OpenAlexW3100662839WikidataQ128750280 ScholiaQ128750280MaRDI QIDQ1730963

J. M. Meylahn, Diego Garlaschelli, Benthen Zeegers, W. Th. F. den Hollander

Publication date: 6 March 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02535

zbMATH Keywords

renormalizationhierarchical latticephase oscillatorsuniversality classesblock communitiesnoisy Kuramoto model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Processes in random environments (60K37) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (4)

Two-community noisy Kuramoto model ⋮ A hierarchical mean field model of interacting spins ⋮ Two-community noisy Kuramoto model with general interaction strengths. I ⋮ Two-community noisy Kuramoto model with general interaction strengths. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Synchronization and random long time dynamics for mean-field plane rotators
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• A fast-slow dynamical systems theory for the Kuramoto type phase model
• Chemical oscillations, waves, and turbulence
• Some inequalities for modified Bessel functions
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• McKean-Vlasov limit for interacting random processes in random media.
• Long time dynamics and disorder-induced traveling waves in the stochastic Kuramoto model
• Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping

This page was built for publication: Synchronization of phase oscillators on the hierarchical lattice