Synchronization transitions caused by time-varying coupling functions.
Philos Trans A Math Phys Eng Sci
; 377(2160): 20190275, 2019 Dec 16.
Article
em En
| MEDLINE
| ID: mdl-31656137
ABSTRACT
Interacting dynamical systems are widespread in nature. The influence that one such system exerts on another is described by a coupling function; and the coupling functions extracted from the time-series of interacting dynamical systems are often found to be time-varying. Although much effort has been devoted to the analysis of coupling functions, the influence of time-variability on the associated dynamics remains largely unexplored. Motivated especially by coupling functions in biology, including the cardiorespiratory and neural delta-alpha coupling functions, this paper offers a contribution to the understanding of effects due to time-varying interactions. Through both numerics and mathematically rigorous theoretical consideration, we show that for time-variable coupling functions with time-independent net coupling strength, transitions into and out of phase- synchronization can occur, even though the frozen coupling functions determine phase-synchronization solely by virtue of their net coupling strength. Thus the information about interactions provided by the shape of coupling functions plays a greater role in determining behaviour when these coupling functions are time-variable. This article is part of the theme issue 'Coupling functions dynamical interaction mechanisms in the physical, biological and social sciences'.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Modelos Teóricos
Tipo de estudo:
Prognostic_studies
Limite:
Humans
Idioma:
En
Revista:
Philos Trans A Math Phys Eng Sci
Ano de publicação:
2019
Tipo de documento:
Article