Universality of the window structure and the density of aperiodic solutions in dissipative dynamical systems

Jukka A. Ketoja, Juhani Kurkijarvi

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

The structure of periodic windows in one-dimensional maps is shown to become quantitatively universal approaching a period-doubling accumulation point from the opposite side. This implies, among other things, that the relative density of aperiodic solutions tends to a universal number =0.892.... This universality of the window structure applies to the same class of maps as the period-doubling universality, and we have strong numerical evidence for it to apply to any dissipative multidimensional dynamics which goes through a complete period-doubling sequence.

Original languageEnglish
Pages (from-to)2846-2849
Number of pages4
JournalPhysical Review A
Volume33
Issue number4
DOIs
Publication statusPublished - 1 Jan 1986
MoE publication typeNot Eligible

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