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
Copyright Status
Unknown
Socpus ID
85041310518 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85041310518
STARS Citation
Choudhury, S. Roy, "Simple Geometric Techniques To Delineate The Location, Extent, And Approximate Shapes Of Attractors In Chaotic Systems" (2013). Scopus Export 2010-2014. 7203.
https://stars.library.ucf.edu/scopus2010/7203