Estimation of the time delay of coupling between oscillators from time realizations of oscillation phases for different properties of phase dynamics

Sidak, E. V.; Смирнов, Д. А.; Безручко, Б. П.

doi:10.1134/s1064226917030196

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…where ω 1,2 are the angular frequencies of oscillations, G 1,2 are 2πperiodic in both argument functions, Δ is the time shift between the time series of φ 1 (t) and φ 2 (t), and ξ 1,2 (t) are Gaussian white noises with zero mean (Smirnov et al, 2011;Sidak et al, 2017). Increments of phases during some fixed time interval τ can be estimated from experimental time series as follows:…”

Section: Indices Of Directional Couplingmentioning

confidence: 99%

Directional couplings between the respiration and parasympathetic control of the heart rate during sleep and wakefulness in healthy subjects at different ages

Боровкова

Прохоров

Kiselev

et al. 2022

Front. Netw. Physiol.

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Cardiorespiratory interactions are important, both for understanding the fundamental processes of functioning of the human body and for development of methods for diagnostics of various pathologies. The properties of cardiorespiratory interaction are determined by the processes of autonomic control of blood circulation, which are modulated by the higher nervous activity. We study the directional couplings between the respiration and the process of parasympathetic control of the heart rate in the awake state and different stages of sleep in 96 healthy subjects from different age groups. The detection of directional couplings is carried out using the method of phase dynamics modeling applied to experimental RR-intervals and the signal of respiration. We reveal the presence of bidirectional couplings between the studied processes in all age groups. Our results show that the coupling from respiration to the process of parasympathetic control of the heart rate is stronger than the coupling in the opposite direction. The difference in the strength of bidirectional couplings between the considered processes is most pronounced in deep sleep.

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Section: Indices Of Directional Couplingmentioning

confidence: 99%

Directional couplings between the respiration and parasympathetic control of the heart rate during sleep and wakefulness in healthy subjects at different ages

Боровкова

Прохоров

Kiselev

et al. 2022

Front. Netw. Physiol.

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Class-oriented techniques for reconstruction of dynamics from time series

Безручко

Ponomarenko

Смирнов

et al. 2021

Chaos, Solitons & Fractals

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Phase-dynamic causalities within dynamical effects framework

Смирнов

2021

Chaos: An Interdisciplinary Journal of Nonlinear Science

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This work investigates numerics of several widely known phase-dynamic quantifiers of directional (causal) couplings between oscillatory systems: transfer entropy (TE), differential quantifier, and squared-coefficients quantifier based on an evolution map. The study is performed on the system of two stochastic Kuramoto oscillators within the framework of dynamical causal effects. The quantifiers are related to each other and to an asymptotic effect of the coupling on phase diffusion. Several novel findings are listed as follows: (i) for a non-synchronous regime and high enough noise levels, the TE rate multiplied by a certain characteristic time (called here reduced TE) equals twice an asymptotic effect of a directional coupling on phase diffusion; (ii) “information flow” expressed by the TE rate unboundedly rises with the coupling coefficient even in the domain of effective synchronization; (iii) in any effective synchronization regime, the reduced TE is equal to 1/8 n.u. in each direction for equal coupling coefficients and equal noise intensities, and it is in general a simple function of the ratio of noise intensities and the ratio of coupling coefficients.

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Estimation of the time delay of coupling between oscillators from time realizations of oscillation phases for different properties of phase dynamics

Cited by 3 publications

References 18 publications

Directional couplings between the respiration and parasympathetic control of the heart rate during sleep and wakefulness in healthy subjects at different ages

Directional couplings between the respiration and parasympathetic control of the heart rate during sleep and wakefulness in healthy subjects at different ages

Class-oriented techniques for reconstruction of dynamics from time series

Phase-dynamic causalities within dynamical effects framework

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