Title

Simple Geometric Techniques To Delineate The Location, Extent, And Approximate Shapes Of Attractors In Chaotic Systems

Keywords

Chaotic systems; Competitive modes conjectures; Extents geometrically; Mapping attractor locations

Abstract

In this paper we examine the chaotic regimes of a variety of recently discovered hyperchaotic systems using a completely novel geometrical interpretation of the Competitive Modes analysis as simple criteria to map out the spatial location and extent, as well as the rough general shape, of the system attractor for any parameter sets corresponding to chaos. The accuracy of this mapping adds further evidence to the growing body of recent work on the correctness and usefulness of these Competitive Modes conjectures. Indeed, this may be taken as an 'a posteriori' validation of the Competitive Modes conjectures.

Publication Date

1-1-2013

Publication Title

Journal of Applied Nonlinear Dynamics

Volume

2

Issue

2

Number of Pages

127-139

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.5890/JAND.2013.04.002

Socpus ID

85041310518 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85041310518

This document is currently not available here.

Share

COinS