Topology of Windows in High-dimensional Parameter Space Chaotic Maps

Celso Grebogi, M. S. Baptista, E. Barreto

Research output: Contribution to journalArticlepeer-review


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 pages7
JournalInternational Journal of Bifurcation and Chaos
Publication statusPublished - 2003


  • chaotic maps
  • spine
  • nilpotent loci


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