Entropy and stability of phase synchronisation of oscillators on networks

DOI10.1016/j.aop.2014.05.012zbMath1343.34089OpenAlexW2042412317MaRDI QIDQ305196

Alexander C. Kalloniatis

Publication date: 29 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.aop.2014.05.012

zbMATH Keywords

entropyoscillatorsynchronisationKuramotoPesin theorem

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Synchronisation of networked Kuramoto oscillators under stable Lévy noise ⋮ Semipredictable dynamical systems ⋮ Dynamical phase transitions in generalized Kuramoto model with distributed Sakaguchi phase ⋮ Gaussian noise and the two-network frustrated Kuramoto model

Cites Work

• Chemical oscillations, waves, and turbulence
• Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
• Thermodynamics based on the principle of least abbreviated action: Entropy production in a network of coupled oscillators
• Stochastic (in)stability of synchronisation of oscillators on networks
• Synchronization Properties of Trees in the Kuramoto Model
• Probability Theory
• On the Critical Coupling for Kuramoto Oscillators
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