STRUCTURE OF GENERATING PARTITIONS FOR 2-DIMENSIONAL MAPS

Authors
Citation
L. Jaeger et H. Kantz, STRUCTURE OF GENERATING PARTITIONS FOR 2-DIMENSIONAL MAPS, Journal of physics. A, mathematical and general, 30(16), 1997, pp. 567-576
Citations number
15
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
30
Issue
16
Year of publication
1997
Pages
567 - 576
Database
ISI
SICI code
0305-4470(1997)30:16<567:SOGPF2>2.0.ZU;2-U
Abstract
We discuss the non-uniqueness of the generating partitions of two-dime nsional maps, and we give new explanations for ambiguities that are to be expected in the construction of generating partitions if a paramet er is varied. Both points are discussed with the help of the connectin g lines of homoclinic tangencies in the entire phase space, i.e. also outside the attractor, that can be calculated very easily with a new a lgorithm introduced recently.