Transition of fractal dimension in a latticed dynamical system Page: 2 of 11
This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided to Digital Library by the UNT Libraries Government Documents Department.
The following text was automatically extracted from the image on this page using optical character recognition software:
TRANSITION OF FRACTAL DIMENSION IN A LATTICED DYNAMICAL SYSTEM*
University of California
Lawrence Livermore National Laboratory
Livermore, CA 94550
We study a recursion relation that manifests two distinct routes to turbulence,
both of which reproduce commonly observed phenomena: the Feigenbaum route,
with period-doubling frequencies; and a much more general route with
noncornmensurate frequencies and frequency entrainment, and locking.
Intermittency and large-scale aperiodic spatial patterns are reproduced in this new
route. In the oscillatory instability regime the fractal dimension saturates at DF =
2.6 with imbedding dimensions while in the turbulent regime DF saturates at 6.0.
*Poster Session, Los Alamos Conference on "Spatio-Temporal Coherence and Chaos
in Physical Systems," January 21-24, 1986.
DISTRIBUTION OF TillS O0CUMEAJT 13 UNLTIMTED
Here’s what’s next.
This article can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Article.
Duong-van, M. Transition of fractal dimension in a latticed dynamical system, article, March 1, 1986; [Livermore,] California. (digital.library.unt.edu/ark:/67531/metadc1108583/m1/2/: accessed February 17, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.