Synchronization and desynchronization in epilepsy: controversies and hypotheses

P Jiruska, M De Curtis, JGR Jefferys… - The Journal of …, 2013 - Wiley Online Library
Epilepsy has been historically seen as a functional brain disorder associated with excessive
synchronization of large neuronal populations leading to a hypersynchronous state. Recent …

Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

Causal inference from cross-sectional earth system data with geographical convergent cross mapping

B Gao, J Yang, Z Chen, G Sugihara, M Li… - nature …, 2023 - nature.com
Causal inference in complex systems has been largely promoted by the proposal of some
advanced temporal causation models. However, temporal models have serious limitations …

Global droughts connected by linkages between drought hubs

S Mondal, A K. Mishra, R Leung, B Cook - Nature communications, 2023 - nature.com
Quantifying the spatial and interconnected structure of regional to continental scale droughts
is one of the unsolved global hydrology problems, which is important for understanding the …

Detecting causality in complex ecosystems

G Sugihara, R May, H Ye, C Hsieh, E Deyle, M Fogarty… - science, 2012 - science.org
Identifying causal networks is important for effective policy and management
recommendations on climate, epidemiology, financial regulation, and much else. We …

Distinguishing time-delayed causal interactions using convergent cross mapping

H Ye, ER Deyle, LJ Gilarranz, G Sugihara - Scientific reports, 2015 - nature.com
An important problem across many scientific fields is the identification of causal effects from
observational data alone. Recent methods (convergent cross mapping, CCM) have made …

Wiener–Granger causality: a well established methodology

SL Bressler, AK Seth - Neuroimage, 2011 - Elsevier
For decades, the main ways to study the effect of one part of the nervous system upon
another have been either to stimulate or lesion the first part and investigate the outcome in …

The organization of physiological brain networks

CJ Stam, ECW Van Straaten - Clinical neurophysiology, 2012 - Elsevier
One of the central questions in neuroscience is how communication in the brain is organized
under normal conditions and how this architecture breaks down in neurological disease. It …

The synchronization of chaotic systems

S Boccaletti, J Kurths, G Osipov, DL Valladares… - Physics reports, 2002 - Elsevier
Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

Nonlinear dynamical analysis of EEG and MEG: review of an emerging field

CJ Stam - Clinical neurophysiology, 2005 - Elsevier
Many complex and interesting phenomena in nature are due to nonlinear phenomena. The
theory of nonlinear dynamical systems, also called 'chaos theory', has now progressed to a …