Abstract Models of neural networks are developed from a biological point of view. Small
networks are analysed using techniques from dynamical systems. The behaviour of spatially …

We study pulse-coupled neural networks that satisfy only two assumptions: each isolated
neuron fires periodically, and the neurons are weakly connected. Each such network can be …

This is a book on mathematical neuroscience, in which the unifying theme is wavelike
phenomena at multiple spatial and temporal scales. There are already several excellent …

Research on the synchronization of delay-coupled oscillator networks is reviewed. A
number of key research approaches using different models and methods are described, and …

An analysis of mode-locked solutions that may arise in periodically forced integrate-and-fire
(IF) neural oscillators is introduced based upon a firing map formulation of the dynamics. A …

In this paper, we study the effect of two distinct discrete delays on the dynamics of a Wilson–
Cowan neural network. This activity-based model describes the dynamics of synaptically …

While a number of theories have been advanced to account for why musical consonance is
related to simple frequency ratios, as yet there is no completely satisfying explanation. Here …

In this chapter, neural field theory is used to model binocular rivalry waves. During binocular
rivalry, visual perception switches back and forth between different images presented to the …

Синхронизация автоколебаний ì фундаментальное явление, которое наблюдается в
системах самой различной природы в физике, технике, биологии и других областях …

We investigate the collective dynamics of a network of heterogeneous Izhikevich neurons
with global constant-delay coupling using a mean-field approximation, valid in the …