Synchronization of Heterogeneous Oscillators Under Network Modifications: Perturbation and Optimization of the Synchrony Alignment Function

DOI10.1137/16M1075181zbMath1353.34061arXiv1605.04009OpenAlexW2382222266WikidataQ42365926 ScholiaQ42365926MaRDI QIDQ2827058

Jie Sun, Dane Taylor, P. S. Skardal

Publication date: 12 October 2016

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

Full work available at URL: https://arxiv.org/abs/1605.04009

zbMATH Keywords

optimizationcoupled oscillatorssynchronizationcomplex networksKuramoto modelsynchrony alignment function

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (15)

Performance measures after perturbations in the presence of inertia ⋮ An oscillator with two discontinuous lines and Van der Pol damping ⋮ Network-Ensemble Comparisons with Stochastic Rewiring and Von Neumann Entropy ⋮ The Kuramoto Model on Oriented and Signed Graphs ⋮ Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks ⋮ Synchronizability of directed networks: The power of non-existent ties ⋮ Optimal phase synchronization in networks of phase-coherent chaotic oscillators ⋮ Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators ⋮ Linearization error in synchronization of Kuramoto oscillators ⋮ Effects of dynamical and structural modifications on synchronization ⋮ Synchronization of Network-Coupled Oscillators with Uncertain Dynamics ⋮ Synchronization of Heterogeneous Oscillators Under Network Modifications: Perturbation and Optimization of the Synchrony Alignment Function ⋮ Volume Bounds for the Phase-Locking Region in the Kuramoto Model with Asymmetric Coupling ⋮ From approximate synchronization to identical synchronization in coupled systems ⋮ Geometric unfolding of synchronization dynamics on networks

Uses Software

• Temporal_Eigenvector_Centrality

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