Synchronisation of chaos and its applications

D Eroglu, JSW Lamb, T Pereira - Contemporary Physics, 2017 - Taylor & Francis
Dynamical networks are important models for the behaviour of complex systems, modelling
physical, biological and societal systems, including the brain, food webs, epidemic disease …

Inferring functional neural connectivity with phase synchronization analysis: a review of methodology

J Sun, Z Li, S Tong - Computational and mathematical methods …, 2012 - Wiley Online Library
Functional neural connectivity is drawing increasing attention in neuroscience research. To
infer functional connectivity from observed neural signals, various methods have been …

Phase and antiphase synchronization of two identical hyperchaotic complex nonlinear systems

GM Mahmoud, EE Mahmoud - Nonlinear Dynamics, 2010 - Springer
A scheme is designed to achieve phase synchronization (PS) and antiphase
synchronization (APS) for an n-dimensional hyperchaotic complex nonlinear system. For this …

Phase synchronization of bursting neurons in clustered small-world networks

CAS Batista, EL Lameu, AM Batista, SR Lopes… - Physical Review E …, 2012 - APS
We investigate the collective dynamics of bursting neurons on clustered networks. The
clustered network model is composed of subnetworks, each of them presenting the so-called …

Phase-based causality analysis with partial mutual information from mixed embedding

I Vlachos, D Kugiumtzis, M Paluš - Chaos: An Interdisciplinary Journal …, 2022 - pubs.aip.org
Instantaneous phases extracted from multivariate time series can retain information about
the relationships between the underlying mechanisms that generate the series. Although …

Basin stability for burst synchronization in small-world networks of chaotic slow-fast oscillators

OV Maslennikov, VI Nekorkin, J Kurths - Physical Review E, 2015 - APS
The impact of connectivity and individual dynamics on the basin stability of the burst
synchronization regime in small-world networks consisting of chaotic slow-fast oscillators is …

Revealing dynamics, communities, and criticality from data

D Eroglu, M Tanzi, S van Strien, T Pereira - Physical Review X, 2020 - APS
Complex systems such as ecological communities and neuron networks are essential parts
of our everyday lives. These systems are composed of units which interact through intricate …

Unified framework for detecting phase synchronization in coupled time series

J Sun, M Small - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Phase synchronization (PS) has drawn increasing attention in recent years for its extensive
applications in analyzing time series observed from coupled systems. In this paper, we …

Chaotic, informational and synchronous behaviour of multiplex networks

MS Baptista, RM Szmoski, RF Pereira, SES Pinto - Scientific Reports, 2016 - nature.com
The understanding of the relationship between topology and behaviour in interconnected
networks would allow to charac-terise and predict behaviour in many real complex networks …

Transmission of information in active networks

MS Baptista, J Kurths - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
Shannon's capacity theorem is the main concept behind the theory of communication. It says
that if the amount of information contained in a signal is smaller than the channel capacity of …