Reconstruction of ensembles of generalized van der Pol oscillators from vector time series

DOI10.1016/j.physd.2018.07.004zbMath1415.34072OpenAlexW2886111229WikidataQ129423756 ScholiaQ129423756MaRDI QIDQ2000713

Ilya V. Sysoev

Publication date: 28 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.physd.2018.07.004

zbMATH Keywords

dynamical systemstime series analysisvan der Pol oscillatorcoupling detectionreconstruction from time series

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Time series analysis of dynamical systems (37M10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Class-oriented techniques for reconstruction of dynamics from time series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discovering governing equations from data by sparse identification of nonlinear dynamical systems
• Choosing the optimal model parameters for Granger causality in application to time series with main timescale
• Data based identification and prediction of nonlinear and complex dynamical systems
• On the motion of a generalized van der Pol oscillator
• Extracting knowledge from time series. An introduction to nonlinear empirical modeling
• Coupled van der Pol oscillators. A model of excitatory and inhibitory neural interactions
• A Bonhoeffer-van der Pol oscillator model of locked and non-locked behaviors of living pacemaker neurons
• Global reconstruction in the presence of \textit{a priori} information
• Partial directed coherence: a new concept in neural structure determination
• Analyzing multiple nonlinear time series with extended Granger causality
• Investigation of a generalized van der pol oscillator differential equation
• Revealing networks from dynamics: an introduction
• Inferring network topology from complex dynamics
• Investigating Causal Relations by Econometric Models and Cross-spectral Methods

This page was built for publication: Reconstruction of ensembles of generalized van der Pol oscillators from vector time series