A Generalized 2-D Model for Fully Bounded Chaotic Attractors and Chaotic Seas

A Generalized 2-D Model for Fully Bounded Chaotic Attractors and Chaotic Seas

Zeraoulia Elhadj (Department of Mathematics, University of Tébessa, Tébessa, Algeria)
Copyright: © 2012 |Pages: 4
DOI: 10.4018/jalr.2012040105
OnDemand PDF Download:
$30.00
List Price: $37.50

Abstract

The aim of this paper is to present a fully bounded 2-D model for chaotic attractors or chaotic seas. The relevance of this result is that there are some specific examples of bounded chaotic attractors or chaotic seas. There is no rigorous proof of this property for a general form of mappings.
Article Preview

A Fully Bounded 2-D Model For Chaotic Attractors Or Chaotic Seas

In this paper, we propose the following 2-D map as a model for a fully bounded map:

(1) where is the bifurcation parameter. The map (1) is characterized by three nonlinearities and These functions must satisfy the conditions:

with for all and some values of . Assume also that the values of the functions ) and are finite for all . The map (1) is dissipative when for allotherwise the map is conservative.

Complete Article List

Search this Journal:
Reset
Open Access Articles: Forthcoming
Volume 9: 2 Issues (2019): Forthcoming, Available for Pre-Order
Volume 8: 2 Issues (2018): Forthcoming, Available for Pre-Order
Volume 7: 2 Issues (2017)
Volume 6: 2 Issues (2016)
Volume 5: 1 Issue (2015)
Volume 4: 1 Issue (2014)
Volume 3: 4 Issues (2012)
Volume 2: 4 Issues (2011)
Volume 1: 4 Issues (2010)
View Complete Journal Contents Listing