Synchronization Properties of Trees in the Kuramoto Model

DOI10.1137/120899728zbMath1281.34048arXiv1210.1273OpenAlexW3105646780MaRDI QIDQ2871343

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Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.1273

zbMATH Keywords

synchronizationKuramoto model

Mathematics Subject Classification ID

Trees (05C05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (10)

Entropy and stability of phase synchronisation of oscillators on networks ⋮ On Equilibria and Consensus of the Lohe Model with Identical Oscillators ⋮ Organisational hierarchy constructions with easy Kuramoto synchronisation ⋮ Counting Equilibria of the Kuramoto Model Using Birationally Invariant Intersection Index ⋮ Sparse network optimization for synchronization ⋮ Optimal network design for synchronization of coupled oscillators ⋮ Unmixing the mixed volume computation ⋮ Synchronization in complex networks of phase oscillators: a survey ⋮ Adversarial decision strategies in multiple network phased oscillators: the Blue-Green-Red Kuramoto-Sakaguchi model ⋮ Rare slips in fluctuating synchronized oscillator networks

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