Neural oscillations are ubiquitously observed in the mammalian brain, but it has proven
difficult to tie oscillatory patterns to specific cognitive operations. Notably, the coupling …

Synchronous rhythms represent a core mechanism for sculpting temporal coordination of
neural activity in the brain-wide network. This review focuses on oscillations in the cerebral …

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 …

This book applies methods from nonlinear dynamics to problems in neuroscience. It uses
modern mathematical approaches to understand patterns of neuronal activity seen in …

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 …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

Recent physiological studies using behaving monkeys revealed that, in a two-alternative
forced-choice visual motion discrimination task, reaction time was correlated with ramping of …

When the local field potential of a cortical network displays coherent fast oscillations (∼ 40-
Hz gamma or∼ 200-Hz sharp-wave ripples), the spike trains of constituent neurons are …

This study examines the ability of neurons to track temporally varying inputs, namely by
investigating how the instantaneous firing rate of a neuron is modulated by a noisy input with …

Adaptation occurs in a variety of forms in all sensory systems, motivating the question: what
is its purpose? A productive approach has been to hypothesize that adaptation helps neural …