Reconstructing phase dynamics of oscillator networks

DOI10.1063/1.3597647zbMath1317.34057arXiv1102.3064OpenAlexW2030288606WikidataQ45723873 ScholiaQ45723873MaRDI QIDQ5264545

Björn Kralemann, Michael G. Rosenblum, Arkadij S. Pikovskij

Publication date: 27 July 2015

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

Full work available at URL: https://arxiv.org/abs/1102.3064

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Inverse problems involving ordinary differential equations (34A55)

Related Items (15)

Networks beyond pairwise interactions: structure and dynamics ⋮ Class-oriented techniques for reconstruction of dynamics from time series ⋮ Non-pairwise Interaction in Oscillatory Ensembles: from Theory to Data Analysis ⋮ From Symmetric Networks to Heteroclinic Dynamics and Chaos in Coupled Phase Oscillators with Higher-Order Interactions ⋮ Efficient determination of synchronization domains from observations of asynchronous dynamics ⋮ Can spurious indications for phase synchronization due to superimposed signals be avoided? ⋮ What Are Higher-Order Networks? ⋮ Reconstruction of a random phase dynamics network from observations ⋮ Chaos in generically coupled phase oscillator networks with nonpairwise interactions ⋮ Detecting connectivity of small, dense oscillator networks from dynamical measurements based on a phase modeling approach ⋮ Coupling functions in networks of oscillators ⋮ Reconstruction of ensembles of nonlinear neurooscillators with sigmoid coupling function ⋮ Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia ⋮ Recovering sparse networks: basis adaptation and stability under extensions ⋮ Phase-dynamic causalities within dynamical effects framework

Cites Work

• Phase Coupling Estimation from Multivariate Phase Statistics
• Revealing direction of coupling between neuronal oscillators from time series: Phase dynamics modeling versus partial directed coherence

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