Topology of windows in the high-dimensional parameter space of chaotic maps

Murilo S. Baptista*, Celso Grebogi, Ernest Barreto

*Corresponding author for this work

Research output: Contribution to journalArticle

15 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2681-2688
Number of pages8
JournalInternational Journal of Bifurcation and Chaos
Volume13
Issue number9
DOIs
Publication statusPublished - Sep 2003

Fingerprint

Chaotic Map
Chaotic systems
Parameter Space
High-dimensional
Topology
Spine
Skeleton
Chaotic System
Periodicity
Diagram

Keywords

  • Chaotic maps
  • Nilpotent loci
  • Spine

ASJC Scopus subject areas

  • General
  • Applied Mathematics

Cite this

Topology of windows in the high-dimensional parameter space of chaotic maps. / Baptista, Murilo S.; Grebogi, Celso; Barreto, Ernest.

In: International Journal of Bifurcation and Chaos, Vol. 13, No. 9, 09.2003, p. 2681-2688.

Research output: Contribution to journalArticle

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