Complex macroscopic behavior in systems of phase oscillators with adaptive coupling

DOI10.1016/j.physd.2013.01.012zbMath1292.34071arXiv1207.3102OpenAlexW2091005345MaRDI QIDQ2448418

Juan G. Restrepo, P. S. Skardal, Dane Taylor

Publication date: 30 April 2014

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

Full work available at URL: https://arxiv.org/abs/1207.3102

zbMATH Keywords

synchronizationadaptive dynamicsKuramoto

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (9)

Emergent Dynamics of Kuramoto Oscillators with Adaptive Couplings: Conservation Law and Fast Learning ⋮ Stability Diagram, Hysteresis, and Critical Time Delay and Frequency for the Kuramoto Model with Heterogeneous Interaction Delays ⋮ Adaptive dynamical networks ⋮ Symmetry and symmetry breaking in coupled oscillator communities ⋮ Amplification of explosive width in complex networks ⋮ Ott-Antonsen attractiveness for parameter-dependent oscillatory systems ⋮ The Kuramoto model in complex networks ⋮ Average dynamics of a finite set of coupled phase oscillators ⋮ Synchronization transitions caused by time-varying coupling functions

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