Nonlinear multivariate analysis of neurophysiological signals

E Pereda, RQ Quiroga, J Bhattacharya - Progress in neurobiology, 2005 - Elsevier
Multivariate time series analysis is extensively used in neurophysiology with the aim of
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 …

Dynamics of globally coupled oscillators: Progress and perspectives

A Pikovsky, M Rosenblum - Chaos: An Interdisciplinary Journal of …, 2015 - pubs.aip.org
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 …

Advances in closed-loop deep brain stimulation devices

M Parastarfeizabadi, AZ Kouzani - Journal of neuroengineering and …, 2017 - Springer
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 …

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 …

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 …

Restoration of rhythmicity in diffusively coupled dynamical networks

W Zou, DV Senthilkumar, R Nagao, IZ Kiss… - Nature …, 2015 - nature.com
Oscillatory behaviour is essential for proper functioning of various physical and biological
processes. However, diffusive coupling is capable of suppressing intrinsic oscillations due to …

Refuting the odd-number limitation of time-delayed feedback control

B Fiedler, V Flunkert, M Georgi, P Hövel, E Schöll - Physical Review Letters, 2007 - APS
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 …

Bayesian adaptive dual control of deep brain stimulation in a computational model of Parkinson's disease

LL Grado, MD Johnson, TI Netoff - PLoS computational biology, 2018 - journals.plos.org
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 …

Phasic burst stimulation: a closed-loop approach to tuning deep brain stimulation parameters for Parkinson's disease

AB Holt, D Wilson, M Shinn, J Moehlis… - PLoS computational …, 2016 - journals.plos.org
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 …