A discrete-time model of reacting evolving fields, transported by a bidimensional chaotic fluid flow, is studied. Our approach is based on the use of a Lagrangian scheme where fluid particles are advected by a two-dimensional symplectic map possibly yielding Lagrangian chaos. Each fluid particle carries concentrations of active substances which evolve according to its own reaction dynamics. Thi...

Complex patterns generated by the time evolution of a one-dimensional digitalized coupled map lattice are quantitatively analyzed. A method for discerning complexity among the different patterns is implemented. The quantitative results indicate two zones in parameter space where the dynamics shows the most complex patterns. These zones are located on the two edges of an absorbent region where t...

The phase transition with respect to the intensity of a d-correlated noise source has been studied in a coupled map lattice that simulates the excitability of field-type neural tissues [7]. The entropy of lattice states versus this control parameter undergoes a qualitative change at the phase transition point. Its behavior is linear on one side of this point and it transforms to a cubic-root fo...

In this paper, a kind of two-dimensional coupled chaotic transcendental map (TCCTM) was proposed. Firstly, by using the TCCTM chaotic sequences were generated,then the chaotic sequences were modified to generate chaotic key stream that is more suitable for image encryption. In the process of encryption, an original color image was decomposed into three images of red, green and blue components, ...

Population dynamics in spatially extended systems can be modeled by Coupled Map Lattices (CML). We employ such equations to study the behavior of populations confined to a finite patch surrounded by a completely hostile environment. By means of the Galerkin projection and the normal solution ansatz, we are able to find analytical expressions for the critical patch size and show the existence of...

The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We verify the dual nature of the entropic index for the Henon map, one (qsen < 1) related to its sensitivity to initial conditions properties, and the other, graining-dependent (qrel(W ) > 1), related to its relaxation dy...