Models of cardiac tissue electrophysiology are an important component of the Cardiac
Physiome Project, which is an international effort to build biophysically based multi-scale …

Nonequilibrium spatially distributed chemically reacting systems are usually described in
terms of reaction-diffusion equations. In this article, a hierarchy of discrete models is studied …

Networks of nonlocally coupled phase oscillators can support chimera states in which
identical oscillators evolve into distinct groups that exhibit coexisting synchronous and …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

A Network of chaotic elements is investigated with the use of globally coupled maps. A
simple coding of many attractors with clustering is shown. Through the coding, the attractors …

We demonstrate by means of several examples that an easily calculable measure of
algorithmic complexity c which has been introduced by Lempel and Ziv [IEEE Trans. Inf …

The phenomenon of chimera states in the systems of coupled, identical oscillators has
attracted a great deal of recent theoretical and experimental interest. In such a state, different …

A class of coupled map lattices is investigated as a model for the spatiotemporal chaos. As
the parameters are changed, phase transitions among the patterns are observed. Pattern …

Can physics be an appropriate framework for the understanding of ecological science? Most
ecologists would probably agree that there is little relation between the complexity of natural …

Chaos in science has always been a fascinating realm since it challenges the usual
scientific approach of reductionism. While carefully distinguishing between complexity …