# 2017

## Avenues for the use of cellular automata in image segmentation

AbstractThe majority of Cellular Automata (CA) described in the literature are binary or three-state. While several abstractions are possible to…

## Interval-state cellular automata and their applications to image segmentation

AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…

## Accurate Chebyshev collocation solutions for the biharmonic eigenproblem on a rectangle

AbstractWe are concerned with accurate Chebyshev collocation (ChC) solutions to fourth order eigenvalue problems. We consider the 1D case as…

## Invariant sets and attractors for Hanusse-type chemical systems with diffusions

AbstractWe are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂R^{N} found for the…

## Stable spectral collocation solutions to Cauchy problems for nonlinear dispersive wave equations

AbstractIn this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging nonlinear…

## Evidence for quasiperiodicity in orbital period modulation of WW Cygni

AbstractThe Algol type binary system WW Cygni is known to display an intricate orbital period variability phenomenon which consists in…

## Multiscale structure of time series revealed by the monotony spectrum

AbstractObservation of complex systems produces time series with specific dynamics at different time scales. The majority of the existing numerical…