Title
Topology Of Windows In The High-Dimensional Parameter Space Of Chaotic Maps
Abstract
Periodicity is ubiquitous in nature. In this work, we analyze the dynamical reasons for which periodic windows, that appear in parameter space diagrams, have different shapes and structures. For that, we make use of a dynamical quantity, called spine - the skeleton of the window, in order to explain a conjecture that describes the presence of periodic windows in the parameter space of high-dimensional chaotic systems.
Year
DOI
Venue
2003
10.1142/S0218127403008181
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
chaotic maps, spine, nilpotent loci
Journal
13
Issue
ISSN
Citations 
9
0218-1274
4
PageRank 
References 
Authors
0.92
0
3
Name
Order
Citations
PageRank
Murilo S. Baptista1316.91
Celso Grebogi212734.41
Ernest Barreto39613.44