Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization

S Boccaletti, JA Almendral, S Guan, I Leyva, Z Liu… - Physics Reports, 2016 - Elsevier
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

Modeling positive Granger causality and negative phase lag between cortical areas

FS Matias, LL Gollo, PV Carelli, SL Bressler, M Copelli… - NeuroImage, 2014 - Elsevier
Different measures of directional influence have been employed to infer effective
connectivity in the brain. When the connectivity between two regions is such that one of them …

Anticipated synchronization in a biologically plausible model of neuronal motifs

FS Matias, PV Carelli, CR Mirasso, M Copelli - Physical Review E—Statistical …, 2011 - APS
Two identical autonomous dynamical systems coupled in a master-slave configuration can
exhibit anticipated synchronization (AS) if the slave also receives a delayed negative self …

Phase bistability between anticipated and delayed synchronization in neuronal populations

JN Machado, FS Matias - Physical Review E, 2020 - APS
Two dynamical systems unidirectionally coupled in a sender-receiver configuration can
synchronize with a nonzero phase lag. In particular, the system can exhibit anticipated …

Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control

AN Njah, UE Vincent - Chaos, Solitons & Fractals, 2008 - Elsevier
This paper presents chaos synchronization between single and double wells Duffing–Van
der Pol (DVP) oscillators with Φ4 potential based on the active control technique. The …

Exploring the phase-locking mechanisms yielding delayed and anticipated synchronization in neuronal circuits

L Dalla Porta, FS Matias, AJ Dos Santos… - Frontiers in systems …, 2019 - frontiersin.org
Synchronization is one of the brain mechanisms allowing the coordination of neuronal
activity required in many cognitive tasks. Anticipated Synchronization (AS) is a specific type …

Effect of time delay on feedback control of a flashing ratchet

EM Craig, BR Long, JMR Parrondo… - Europhysics Letters, 2007 - iopscience.iop.org
It was recently shown that the use of feedback control can improve the performance of a
flashing ratchet. We investigate the effect of a time delay in the implementation of feedback …

Signal prediction by anticipatory relaxation dynamics

HU Voss - Physical Review E, 2016 - APS
Real-time prediction of signals is a task often encountered in control problems as well as by
living systems. Here, a parsimonious prediction approach based on the coupling of a linear …

Synchronization of chaos in non-identical parametrically excited systems

BA Idowu, UE Vincent, AN Njah - Chaos, Solitons & Fractals, 2009 - Elsevier
In this paper, we investigate the synchronization of chaotic systems consisting of non-
identical parametrically excited oscillators. The active control technique is employed to …

Controlling chaos and deterministic directed transport in inertia ratchets using backstep** control

UE Vincent, AN Njah, JA Laoye - Physica D: Nonlinear Phenomena, 2007 - Elsevier
We address the problem of controlling chaotic motion and deterministic directed transport in
inertia ratchets. We employ a recursive backstep** nonlinear control technique to control …