The study of networks pervades all of science, from neurobiology to statistical physics. The
most basic issues are structural: how does one characterize the wiring diagram of a food …

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 …

What happens in our brain when we make a decision? What triggers a neuron to send out a
signal? What is the neural code? This textbook for advanced undergraduate and beginning …

The alpha rhythm is the longest-studied brain oscillation and has been theorized to play a
key role in cognition. Still, its physiology is poorly understood. In this study, we used …

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 …

The emergence of synchronization in a network of coupled oscillators is a fascinating
subject of multidisciplinary research. This survey reviews the vast literature on the theory …

This paper provides a theoretical framework for analysis of consensus algorithms for multi-
agent networked systems with an emphasis on the role of directed information flow …

Neurons in the brain communicate by short electrical pulses, the so-called action potentials
or spikes. How can we understand the process of spike generation? How can we …

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 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 …