Receptor cells with electrically coupled axons can improve both their input sensitivity and dynamical range due to collective non-linear wave properties. This mechanism is illustrated by a network of axons modeled by excitable maps subjected to a Poison signal process with rate r. We find that, in a network of N cells, the amplification factor A (number of cells excited by a single signal event...

Spatio-temporal dynamics of excitable media with discrete three-level active centers (ACs) and absorbing boundaries is studied numerically by means of a deterministic three-level model (see S. D. Makovetskiy and D. N. Makovetskii, http://arxiv.org/abs/cond-mat/0410460 ), which is a generalization of the Zykov-Mikhailov model (see Sov. Phys. – Doklady, 1986, Vol.31, No.1, P.51) for the case of t...

We report our first results on comparing the variations of the solar internal rotation with solar activity, as predicted by non-linear solar dynamo modelling, with helioseismic measurements using the SOHO MDI data.

The goal of this paper is to provide and apply tools for analyzing a specific aspect of transient dynamics not covered by previous theory. The question we address is whether one component of a perturbed solution to a system of differential equations can overtake the corresponding component of a reference solution as both converge to a stable node at the origin, given that the perturbed solution...

Cellular automata for reaction-diiusion systems are eecient enough to make the simulation of large three-dimensional systems feasible. The principal construction mechanisms used here are not much diierent from those for two-dimensional cellular automata. Diiusion is realized through a local av-erageing, and all the nonlinear reaction terms are collected in a table-lookup. The special issue in t...

Different sensation systems are usually independent each other. Our collective open out the potential of blind children, and found through a period training of time, some children by touch or nose or ear can distinguish different colors, even simple figure and numbers. From this and other research, we propose a hypothesis: The neural excitable cell is continuously induced and excited, and then ...

Novel phenomena such as photo& band gaps and possible light localization occur when electromagnetic (EM) waves propagate in dielectric superlattices.1-6 In an approximation where only the scalar nature of the EM wave is taken into account, wave propagation in a periodic or disordered medium resembles the dynamics of an electron in a crystal lattice. As a result, photonic bands and gaps arise in...

2.1 NONLINEAR OPTICAL PHENOMENA Nonlinear optics (NLO) is the study of the interaction of intense electromagnetic field with materials to produce modified fields that are different from the input field in phase, frequency or amplitude. It is a vast area, and undoubtedly one of the most important areas of physics with a diverse range of applications. The field of nonlinear optics is understood t...