Nonlinear multivariate analysis of neurophysiological signals
Multivariate time series analysis is extensively used in neurophysiology with the aim of
studying the relationship between simultaneously recorded signals. Recently, advances on …
studying the relationship between simultaneously recorded signals. Recently, advances on …
Handbook of Chaos Control
E Schöll, HG Schuster - 2008 - Wiley Online Library
The chapters of the book are state-of-the-art review articles and should be of interest to
graduate students and researchers; theoretical and experimental physicists, applied …
graduate students and researchers; theoretical and experimental physicists, applied …
Dynamics of globally coupled oscillators: Progress and perspectives
In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …
oscillators. Without an ambition to present a comprehensive review, we outline most …
Advances in closed-loop deep brain stimulation devices
Background Millions of patients around the world are affected by neurological and
psychiatric disorders. Deep brain stimulation (DBS) is a device-based therapy that could …
psychiatric disorders. Deep brain stimulation (DBS) is a device-based therapy that could …
Map-based models in neuronal dynamics
B Ibarz, JM Casado, MAF Sanjuán - Physics reports, 2011 - Elsevier
Ever since the pioneering work of Hodgkin and Huxley, biological neuron models have
consisted of ODEs representing the evolution of the transmembrane voltage and the …
consisted of ODEs representing the evolution of the transmembrane voltage and the …
Delayed feedback control of chaos
K Pyragas - … Transactions of the Royal Society A …, 2006 - royalsocietypublishing.org
Time-delayed feedback control is well known as a practical method for stabilizing unstable
periodic orbits embedded in chaotic attractors. The method is based on applying feedback …
periodic orbits embedded in chaotic attractors. The method is based on applying feedback …
Restoration of rhythmicity in diffusively coupled dynamical networks
Oscillatory behaviour is essential for proper functioning of various physical and biological
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …
Refuting the odd-number limitation of time-delayed feedback control
We refute an often invoked theorem which claims that a periodic orbit with an odd number of
real Floquet multipliers greater than unity can never be stabilized by time-delayed feedback …
real Floquet multipliers greater than unity can never be stabilized by time-delayed feedback …
Bayesian adaptive dual control of deep brain stimulation in a computational model of Parkinson's disease
In this paper, we present a novel Bayesian adaptive dual controller (ADC) for autonomously
programming deep brain stimulation devices. We evaluated the Bayesian ADC's …
programming deep brain stimulation devices. We evaluated the Bayesian ADC's …
Phasic burst stimulation: a closed-loop approach to tuning deep brain stimulation parameters for Parkinson's disease
We propose a novel, closed-loop approach to tuning deep brain stimulation (DBS) for
Parkinson's disease (PD). The approach, termed Phasic Burst Stimulation (PhaBS), applies …
Parkinson's disease (PD). The approach, termed Phasic Burst Stimulation (PhaBS), applies …