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

Fingerprint Dive into the research topics of 'Universality of the window structure and the density of aperiodic solutions in dissipative dynamical systems'. Together they form a unique fingerprint.

Cite this