• An efficient algorithm for inferring functional connectivity between the drive and the noisy response chaotic oscillators with significant frequency mismatch

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/094/0124

• # Keywords

Chaotic oscillators; functional connectivity; causality; unidirectional coupling.

• # Abstract

In this study, we present a new method for assessing the functional connectivity between the drive and the noisy response chaotic oscillators with significant frequency mismatch. This method is based on the footprint of the drive oscillator on the response oscillator. Specifically, we calculate the magnitude squared coherence between the intrinsic frequency of the drive oscillator and the oscillation frequency of the dynamics of the spectral energy of the response oscillator. The spectral energy of the response oscillator is estimated using a modified S-transform algorithm with a short sliding window. We apply the proposed approach to master–slave Rössler systems and coupled Van der Pol oscillators with a frequency ratio of ~1:4 and show that when the slave signal is contaminated with white Gaussian noise at different signal-to-noise ratios (SNR), the new algorithm is well suited to assess the presence of coupling with $a priori$ known direction in noisy, unidirectionally coupled chaotic oscillators, especially in the case of weak and moderate coupling.

• # Author Affiliations

1. Department of Applied Biology and Rehabilitation, Lithuanian Sports University, Sporto 6, 44221 Kaunas, Lithuania

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019