Resilience for coupled oscillatory power network via phase difference

DOI10.1142/S0217979221502830zbMath1501.34038OpenAlexW3199641792MaRDI QIDQ5070724

Li-xin Yang, Jun Jiang, Xiao-Jun Liu

Publication date: 14 April 2022

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979221502830

zbMATH Keywords

phase differenceoscillatory power networkrelisience

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Cascade failure analysis of power grid using new load distribution law and node removal rule
• Natural synchronization in power-grids with anti-correlated units
• Synchronous patterns of oscillatory power network with general coupling matrix
• Multiscale dynamics in communities of phase oscillators
• Bistability of patterns of synchrony in Kuramoto oscillators with inertia
• A universal order parameter for synchrony in networks of limit cycle oscillators
• Cycle flows and multistability in oscillatory networks
• Synchronization in complex oscillator networks and smart grids

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