The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …

Using the concepts of chaotic dynamical systems, we present an interpretation of dynamic
neural activity found in cortical and subcortical areas. The discovery of chaotic itinerancy in …

Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

We study the long-term thermal stability of radiation-dominated disks in which the vertical
structure is determined self-consistently by the balance of heating due to the dissipation of …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

We give an intrinsic definition of a heteroclinic network as a flow-invariant set that is
indecomposable but not recurrent. Our definition covers many previously discussed …

Heteroclinic networks are a mathematical concept in dynamic systems theory that is suited to
describe metastable states and switching events in brain dynamics. The framework is …

The well-known game of Rock–Paper–Scissors can be used as a simple model of
competition between three species. When modelled in continuous time using differential …

Recently, we looked more closely into the Rabinovich–Fabrikant system, after a decade of
study [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos …

In this paper I shall review recent progress in our theoretical understanding of the solar
tachocline. This layer of strong radial and latitudinal differential rotation at the base of the …