Search results for "tractor"

Noise-induced behavioral change driven by transient chaos

2022

We study behavioral change in the context of a stochastic, non-linear consumption model with preference adjusting, interdependent agents. Changes in long-run consumption behavior are modelled as noise induced transitions between coexisting attractors. A particular case of multistability is considered: two fixed points, whose immediate basins have smooth boundaries, coexist with a periodic attractor, with a fractal immediate basin boundary. If a trajectory leaves an immediate basin, it enters a set of complexly intertwined basins for which final state uncertainty prevails. The standard approach to predicting transition events rooted in the stochastic sensitivity function technique due to Mil…

IFS attractors and Cantor sets

2006

Abstract We build a metric space which is homeomorphic to a Cantor set but cannot be realized as the attractor of an iterated function system. We give also an example of a Cantor set K in R 3 such that every homeomorphism f of R 3 which preserves K coincides with the identity on K.

Focused microwave-assisted Soxhlet extraction: An expeditive approach for the isolation of lipids from sausage products

2003

A prototype of extractor based on the conventional Soxhlet principles but assisted in the cartridge zone by focused microwaves is proposed for accelerating the extraction of lipids from sausage products. The extraction process has been optimised using a multivariate design involving the main variables influencing the performance of the prototype (namely, irradiation power P, irradiation time T and number of cycles C). Under the optimum working conditions (P=160 W, T=10 s and C=14), the extraction of lipids from different Spanish sausage products is complete in 45 min. The extracts thus obtained have been compared with those provided by conventional Soxhlet extraction for 8 h by development …

Hidden and self-excited attractors in radiophysical and biophysical models

2017

One of the central tasks of investigation of dynamical systems is the problem of analysis of the steady (limiting) behavior of the system after the completion of transient processes, i.e., the problem of localization and analysis of attractors (bounded sets of states of the system to which the system tends after transient processes from close initial states). Transition of the system with initial conditions from the vicinity of stationary state to an attractor corresponds to the case of a self-excited attractor. However, there exist attractors of another type: hidden attractors are attractors with the basin of attraction which does not have intersection with a small neighborhoods of any equ…

A gallery of Chua's Attractors - Part VI

2007

Analytical-numerical methods for finding hidden oscillations in dynamical systems

2012

Approximating hidden chaotic attractors via parameter switching.

2018

In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved. The PS-generated attractor approximates the attractor obtained by averaging the control parameter with the switched values, which represents the hidden chaotic attractor. The hidden chaotic attractors of a generalized Lorenz system and the Rabinovich-Fabrikant system are simulated for illustration. In Refs. 1–3, it is proved that the attractors of a chaotic system, considered as the unique numerical …

Dynamical Models of Interrelation in a Class of Artificial Networks

2020

The system of ordinary differential equations that models a type of artificial networks is considered. The system consists of a sigmoidal function that depends on linear combinations of the arguments minus the linear part. The linear combinations of the arguments are described by the regulatory matrix W. For the three-dimensional cases, several types of matrices W are considered and the behavior of solutions of the system is analyzed. The attractive sets are constructed for most cases. The illustrative examples are provided. The list of references consists of 12 items.

Sur "Israél-Palestine, Le Cancer", un devoir civique d'intelligence de la complexité

2004

Se trata de un dossier coordinado por J. L. Le Moigne sobre la polémica y acciones en torno al texto "Isráel-Palestine, le Cancer", escrito por Morin, Nair y Sallenave en 2002. José Vidal-Beneyto fue uno de los firmantes del llamamiento en apoyo a Edgar Morin del 30 de marzo de 2004. La información completa respecto a este asunto se encuentra en el documento facilitado y en la web http://archive.mcxapc.org/docs/conscienceinextenso/0805cancer.pdf

Language in Complexity. The Emerging Meaning

2017

This contributed volume explores the achievements gained and the remaining puzzling questions by applying dynamical systems theory to the linguistic inquiry. In particular the book is divided into three parts, each one addressing of the following topics: a) Facing complexity in the right way: mathematics and complexity; b) Complexity and theory of language; c) From empirical observation to formal models: investigations of specifici linguistic phenomena, like enunciation, deixis, or the meaning of the metaphorical phrases.