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…
2017
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…
An application of the Picard operator technique to functional integral equations
Abstract In this paper we consider a functional integral equation of the form \[ x(t)=g(t,x(t),x(h(t)))+\int_{a}^{t} f(s,x(h(s)))ds+\int_{a}^{b} K(s,x(h(s)))ds, \ \ t…
Analysis of a rate-and-state friction problem with viscoelastic materials
AbstractWe consider a mathematical model which describes the frictional contact between a viscoelastic body and a foundation. The contact is…
All roots spectral methods: Constraints, floating point arithmetic and root exclusion
Abstract The nonlinear two-point boundary value problem (TPBVP for short) \[u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,\] offers several insights into spectral methods. First, it…
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…