THE TRIPTYCH FRACTAL - A NEW FEATURE OF THE LOGISTIC MAP

Citation
R. Richter et al., THE TRIPTYCH FRACTAL - A NEW FEATURE OF THE LOGISTIC MAP, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 49(9), 1994, pp. 871-873
Citations number
7
Categorie Soggetti
Chemistry Physical",Physics
ISSN journal
09320784
Volume
49
Issue
9
Year of publication
1994
Pages
871 - 873
Database
ISI
SICI code
0932-0784(1994)49:9<871:TTF-AN>2.0.ZU;2-B
Abstract
The recently introduced path length method for nondissipative systems is generalized to dissipative systems, specifically, the logistic map. A new prototype fractal is found to underlie the resulting nowhere-di fferentiable structure (''triptych principle'').