Identification of coupled map lattice models of complex spatio-temporal patterns

The Identification of Complex Spatiotemporal Patterns Using Coupled Map Lattice Models

Many complex and interesting spatiotemporal patterns have been observed in a wide range of scientific areas. In this paper, two kinds of spatiotemporal patterns including spot replication and Turing systems are investigated and new identification methods are proposed to obtain Coupled Map Lattice (CML) models for this class of systems. Initially, a new correlation analysis method is introduced ...

The Identification of Coupled Map Lattice Models for Autonomous Cellular Neural Network Patterns

Predictability of spatio-temporal patterns in a lattice of coupled FitzHugh-Nagumo oscillators.

In many biological systems, variability of the components can be expected to outrank statistical fluctuations in the shaping of self-organized patterns. In pioneering work in the late 1990s, it was hypothesized that a drift of cellular parameters (along a 'developmental path'), together with differences in cell properties ('desynchronization' of cells on the developmental path) can establish se...

Mining Complex Spatio-Temporal Sequence Patterns

Mining sequential movement patterns describing group behaviour in potentially streaming spatio-temporal data sets is a challenging problem. Movements are typically noisy and often overlap each other. This makes a set of simple patterns difficult to interpret and sequences difficult to mine. Furthermore, group behaviour is complex. Objects in a group may behave similarly for a period of time (an...

Spatio-temporal Chaos. 3. Natural Spatio-temporal Measures for Coupled Circle Map Lattices

In a series of three papers, we study the geometrical and statistical structure of a class of coupled map lattices with natural couplings. These are innnite-dimensional analogues of Axiom A systems. Our main result is the existence of a natural spatio-temporal measure which is the spatio-temporal analogue of the SRB measure. In the rst paper we develop a stable manifold theory for such systems ...