Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis

The statistical analysis of random quantities derived from the dynamics of interaction of a pair of neuron-type oscillators are presented. It is shown that computation of some statistical characteristics of the process allows, with enough precision, to distinguish two types of orbits, while their ph...

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Main Authors: S. D. Glyzin, E. A. Marushkina
Format: Article
Language:English
Published: Yaroslavl State University 2012-01-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:http://mais-journal.ru/jour/article/view/30
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author S. D. Glyzin
E. A. Marushkina
author_facet S. D. Glyzin
E. A. Marushkina
author_sort S. D. Glyzin
collection DOAJ
description The statistical analysis of random quantities derived from the dynamics of interaction of a pair of neuron-type oscillators are presented. It is shown that computation of some statistical characteristics of the process allows, with enough precision, to distinguish two types of orbits, while their phase portraits, Lyapunov dimension and time plots are slightly different.
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spelling doaj.art-46225c6753c14238b9816a8c020cd6d52023-01-02T23:24:05ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172012-01-01193829624Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical AnalysisS. D. Glyzin0E. A. Marushkina1Ярославский государственный университет им. П.Г. ДемидоваЯрославский государственный университет им. П.Г. ДемидоваThe statistical analysis of random quantities derived from the dynamics of interaction of a pair of neuron-type oscillators are presented. It is shown that computation of some statistical characteristics of the process allows, with enough precision, to distinguish two types of orbits, while their phase portraits, Lyapunov dimension and time plots are slightly different.http://mais-journal.ru/jour/article/view/30динамические системыосцилляторыэнтропиякорреляционный интеграл
spellingShingle S. D. Glyzin
E. A. Marushkina
Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
Моделирование и анализ информационных систем
динамические системы
осцилляторы
энтропия
корреляционный интеграл
title Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
title_full Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
title_fullStr Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
title_full_unstemmed Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
title_short Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis
title_sort bursting behavior in the system of coupled oscillators with delay and its statistical analysis
topic динамические системы
осцилляторы
энтропия
корреляционный интеграл
url http://mais-journal.ru/jour/article/view/30
work_keys_str_mv AT sdglyzin burstingbehaviorinthesystemofcoupledoscillatorswithdelayanditsstatisticalanalysis
AT eamarushkina burstingbehaviorinthesystemofcoupledoscillatorswithdelayanditsstatisticalanalysis