Structure of generating partitions for two-dimensional maps
- 21 August 1997
- journal article
- letter
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 30 (16) , L567-L576
- https://doi.org/10.1088/0305-4470/30/16/003
Abstract
We discuss the non-uniqueness of the generating partitions of two-dimensional maps, and we give new explanations for ambiguities that are to be expected in the construction of generating partitions if a parameter is varied. Both points are discussed with the help of the connecting lines of homoclinic tangencies in the entire phase space, i.e. also outside the attractor, that can be calculated very easily with a new algorithm introduced recently.Keywords
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