Pinning control of spatio temporal chaos in nonlinear optics

Pinning Control of Spatiotemporal Chaos

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a coupled map lattice as an example. The optimal arrangement of the control sites is shown to depend on the symmetry properties of the system, while their minimal density depends on the strength of noise in the system. The method is shown to work in any regio...

Filtering Nonlinear Spatio-Temporal Chaos with Autoregressive Linear Stochastic Model

Fundamental barriers in practical filtering of nonlinear spatio-temporal chaotic systems are model errors attributed to the stiffness in resolving multiscale features. Recently, reduced stochastic filters based on linear stochastic models have been introduced to overcome such stiffness; one of them is the Mean Stochastic Model (MSM) based on a diagonal Ornstein-Uhlenbeck process in Fourier spac...

Spatio-temporal chaos in a chemotaxis model

In this paper we explore the dynamics of a one-dimensional Keller–Segel type model for chemotaxis incorporating a logistic cell growth term. We demonstrate the capacity of the model to self-organise into multiple cellular aggregations which, according to position in parameter space, either form a stationary pattern or undergo a sustained spatio-temporal sequence of merging (two aggregations coa...

Nonlinear Spatio - Temporal Processing

Figure 1. The CNN scheme: (a) the spatial grid showing local connections; (b) the circuit of each cell; (c) the classical output nonlinear function for each cell.

Spatio-temporal Chaos. Errors and Correction