A universal order parameter for synchrony in networks of limit cycle oscillators

DOI10.1063/1.4995963zbMath1390.34099arXiv1704.04130OpenAlexW3099684502WikidataQ48056730 ScholiaQ48056730MaRDI QIDQ4644245

Malte Schröder, Marc Timme, Dirk Witthaut

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.04130

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (8)

Stability of multiple attractors in the unidirectionally coupled circular networks of limit cycle oscillators ⋮ Qualitative stability and synchronicity analysis of power network models in port-Hamiltonian form ⋮ Resilience for coupled oscillatory power network via phase difference ⋮ Coherence resonance in neural networks: theory and experiments ⋮ Global and local performance metric with inertia effects ⋮ Effects of synaptic and myelin plasticity on learning in a network of Kuramoto phase oscillators ⋮ Stability and control of power grids with diluted network topology ⋮ Traveling chimera states for coupled pendula

Cites Work

• Synchronization in complex networks of phase oscillators: a survey
• Chemical oscillations, waves, and turbulence
• Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford
• Complex networks: structure and dynamics
• Multistability of phase-locking and topological winding numbers in locally coupled Kuramoto models on single-loop networks
• Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
• Decentral Smart Grid Control
• Synchronization in large directed networks of coupled phase oscillators
• Synchronization in complex oscillator networks and smart grids

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