Fractal analysis ofXylella fastidiosabiofilm formation

Spontaneous optical fractal pattern formation.

We report, for the first time, spontaneous nonlinear optical spatial fractals. The proposed generic mechanism employs intrinsic nonlinear dynamics both to generate an initial pattern seed and to fill out structure across decades of spatial scale. We demonstrate this in one of the simplest of nonlinear optical systems, composed of a Kerr slice and a single-feedback mirror. In this case, the smal...

Formation dynamics of protein precrystallization fractal clusters

The enzyme lysozyme served as a prototype to study the early stages of protein crystallization or precipitation. The crystallization and precipitation aggregates reactions were initiated by supersaturating the lysozyme solutions through addition of NaCI and (NH4)2S04 respectively and monitored via photon correlation spectroscopy. Laplace inversion of the spectra revealed in general bimodal part...

Self-imaging formation for fractal cosenoidal transmittances

In the present work a computer simulation to obtain the self-imaging position (Talbot effect), of a product of scaled cosenoidal functions, is developed. Also, for such resulting functions is shown that they have a fractal behavior, through the calculation of the fractal dimension. The self-images of each cosenoidal component are obtained as well as the self-images of the product, and it is sho...

Fractal Behaviour Analysis

A fundamental problem of AI is that of how to simulate a particular kind of behaviour – that of intelligence. This paper describes an alternative approach to reproducing action systems by a geometric analysis of behaviour. If the behaviour to be reproduced has a particular character, a character identified by a self-affinity like that of fractal images, it may be possible to infer a program cap...

Evaluation of fractal dimensions for analysis of aggregate stability