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 …

Central pattern generators for locomotion control in animals and robots: a review

AJ Ijspeert - Neural networks, 2008 - Elsevier
The problem of controlling locomotion is an area in which neuroscience and robotics can
fruitfully interact. In this article, I will review research carried out on locomotor central pattern …

[PDF][PDF] Theta and alpha oscillations are traveling waves in the human neocortex

H Zhang, AJ Watrous, A Patel, J Jacobs - Neuron, 2018 - cell.com
Human cognition requires the coordination of neural activity across widespread brain
networks. Here, we describe a new mechanism for large-scale coordination in the human …

[图书][B] Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

J Guckenheimer, P Holmes - 2013 - books.google.com
From the reviews:" This book is concerned with the application of methods from dynamical
systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a …

[图书][B] Mathematical biology: II: spatial models and biomedical applications

JD Murray, JD Murray - 2003 - Springer
It has been over a decade since the release first edition of the now classic original edition of
Murray's Mathematical Biology. Since then mathematical biology and medicine has grown at …

[图书][B] A dynamic systems approach to the development of cognition and action

E Thelen, LB Smith - 1994 - books.google.com
A Dynamic Systems Approach to the Development of Cognition and Action presents a
comprehensive and detailed theory of early human development based on the principles of …

[图书][B] Dynamical systems in neuroscience

EM Izhikevich - 2007 - books.google.com
In order to model neuronal behavior or to interpret the results of modeling studies,
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …

A theoretical model of phase transitions in human hand movements

H Haken, JAS Kelso, H Bunz - Biological cybernetics, 1985 - Springer
Earlier experimental studies by one of us (Kelso, 1981a, 1984) have shown that abrupt
phase transitions occur in human hand movements under the influence of scalar changes in …

[图书][B] Dexterity and its development

NA Bernstein - 2014 - books.google.com
This is a very unusual book. It brings to the English speaking reader a masterpiece written
some 50 years ago by one of the greatest minds of the 20th century--Nicholai …

Synchronization of pulse-coupled biological oscillators

RE Mirollo, SH Strogatz - SIAM Journal on Applied Mathematics, 1990 - SIAM
A simple model for synchronous firing of biological oscillators based on Peskin's model of
the cardiac pacemaker [Mathematical aspects of heart physiology, Courant Institute of …