Advances in Nonlinear Complexity Analysis for Partial Differential Equations

1 p. -- [Editorial Material]

Application of Entropy and Fractal Dimension Analyses to the Pattern Recognition of Contaminated Fish Responses in Aquaculture

The objective of the work was to develop a non-invasive methodology for image acquisition, processing and nonlinear trajectory analysis of the collective fish response to a stochastic event. Object detection and motion estimation were performed by an optical flow algorithm in order to detect moving fish and simultaneously eliminate background, noise and artifacts. The Entropy and the Fractal Dimension (FD) of the trajectory followed by the centroids of the groups of fish were calculated using Shannon and permutation Entropy and the Katz, Higuchi and Katz-Castiglioni's FD algorithms respectively. The methodology was tested on three case groups of European sea bass (Dicentrarchus labrax), two of which were similar (C1 control and C2 tagged fish) and very different from the third (C3, tagged fish submerged in methylmercury contaminated water). The results indicate that Shannon entropy and Katz-Castiglioni were the most sensitive algorithms and proved to be promising tools for the non-invasive identification and quantification of differences in fish responses. In conclusion, we believe that this methodology has the potential to be embedded in online/real time architecture for contaminant monitoring programs in the aquaculture industry.

Surf oholeko gilen elementu finitu bidezko analisia.

[EU]Lan honetan, surf oholetan erabiltzen diren gila mota desberdinen analisia egin da. Horretarako, merkatuan garrantzi handiena duten bi enpresek euren katalogoetan eskaintzen dituzten modelo batzuk aztertu dira. Ingeniaritza simulazioak ahalbidetzen dituen ansys softwarea erabiliz egin da aukeratutako modeloen diseinu geometrikoa. Hauen analisiari ekin baino lehenago, gila hauetako bat aztertu da, hau osatzen duen materiala ezagutu eta ezaugarriak zehaztu asmoz. Aztertutakoa modelo guztiek erabiltzen duten ohiko materiala izanik, lortutako emaitzak baliogarriak dira gila guztiak aztertzeko. Materialaren propietateak ezagututa eta aipatutako softwareaz baliatuz, analisi estatikoa egin da. Horretarako, surfean aurkitzen diren ohiko egoera batzuk irudikatu dira, hauetan agertzen diren esfortzuak kalkulatuz. Gila bakoitzaren portaera, jasandako tentsio eta deformazioak aztertuz ondorioztatu da. Horrela, kasu bakoitzean komenigarrienak diren ezaugarriak oinarri hartuz, modelo desberdinen arteko konparaketa egin da.

Influences of change strategies to achieve organizational flexibility: a system dynamics approach.

257 p.

Subdiffusion of nonlinear waves in quasiperiodic potentials

19 p.

Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t(i) is an element of [t(0), t(J)] for i = 0, 1, . . . , J of the solution. Two examples are provided.