Most networks and databases that humans have to deal with contain large, albeit finite
number of units. Their structure, for maintaining functional consistency of the components, is …

We study coupled maps on a Cayley tree, with local (nearest-neighbor) interactions, and
with a variety of boundary conditions. The homogeneous state (where every lattice site has …

The transition to turbulence via spatiotemporal intermittency is investigated in the context of
coupled maps defined on small-world networks. The local dynamics is given by the Chaté …

Networks having the geometry and the connectivity of trees are considered as the spatial
support of spatiotemporal dynamical processes. A tree is characterized by two parameters …

The phase ordering dynamics of coupled chaotic maps on fractal networks is investigated.
The statistical properties of the systems are characterized by means of the persistence …

This chapter presents an overview of the literature which deals with applications of models
framed as coupled map lattices (CML's), and some recent results on the spectral properties …

The phenomenon of turbulence is investigated in the context of globally coupled maps. The
local dynamics is given by the Chaté-Manneville minimal map previously used in studies of …

General hierarchical lattices of coupled maps are considered as dynamical systems. These
models may describe many processes occurring in heterogeneous media with tree-like …

We study the transition to spatio-temporal intermittency in random network of coupled Chaté–
Manneville maps. The relevant parameters are the network connectivity, coupling strength …

Normal chaotic activity and anomalous chaotic activity have been observed in a uniform
coupled map lattice (CML). The former is stable providing a space-time complexity by …