Windows in one-dimensional maps

Thijs Post and Hans W. Capel

Physica A: Statistical Mechanics and its Applications, 1991, vol. 178, issue 1, 62-100

Abstract: The window structure in the chaotic part of the parameter space of one-dimensional maps is described in detail. Explicit expressions are derived for both the internal structure and the width of the periodic windows, by considering a universal local submap. Both features are found to depend only on the order of the extremum of this submap. Moreover, the windows can be ordered in trees. The various branches of these trees define (accumulating) families of windows, for which exact scaling relations can be derived. Finally, we discuss an extension of our description of window phenomena into two dimensions.

Date: 1991
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719190075N
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:178:y:1991:i:1:p:62-100

DOI: 10.1016/0378-4371(91)90075-N

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().