Noise robust approach to reconstruction of van der Pol-like oscillators and its application to Granger causality

DOI10.1063/5.0056901zbMATH Open1546.34076MaRDI QIDQ6556923

Boris P. Bezruchko, Ilya V. Sysoev

Publication date: 17 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Time series analysis of dynamical systems (37M10) Simulation of dynamical systems (37M05)

Cites Work

• Unnamed Item
• Discovering governing equations from data by sparse identification of nonlinear dynamical systems
• Revealing network topology and dynamical parameters in delay-coupled complex network subjected to random noise
• Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems
• Choosing the optimal model parameters for Granger causality in application to time series with main timescale
• 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
• Estimating the dimension of a model
• A Bonhoeffer-van der Pol oscillator model of locked and non-locked behaviors of living pacemaker neurons
• Applied nonlinear systems. Special issue dedicated to Professor John Brindley on the occasion of his 65th birthday
• Partial directed coherence: a new concept in neural structure determination
• State space reconstruction parameters in the analysis of chaotic time series - the role of the time window length
• Reconstruction of ensembles of generalized van der Pol oscillators from vector time series
• Reconstruction of coupling architecture of neural field networks from vector time series
• Reconstruction of ensembles of nonlinear neurooscillators with sigmoid coupling function
• Detecting changes in coupling with Granger causality method from time series with fast transient processes
• Analyzing multiple nonlinear time series with extended Granger causality
• Identification of chaotic systems with hidden variables (modified Bock's algorithm)
• Investigating Causal Relations by Econometric Models and Cross-spectral Methods

Related Items (1)

Introduction to focus issue: in memory of Vadim S. Anishchenko: statistical physics and nonlinear dynamics of complex systems

This page was built for publication: Noise robust approach to reconstruction of van der Pol-like oscillators and its application to Granger causality