Real dynamics of a family of plane birational maps: trapping regions and entropy zero

Details Real dynamics of a family of plane birational maps: trapping regions and entropy zero Real dynamics of a family of plane birational maps: trapping regions and entropy zero

2006-09-04

arxiv.org/abs/math/0609113v2

Mathematics

Dynamical Systems

20 pages, 8 figures. A version with higher resolution graphics is available at http://www.nd.edu/~jdiller/research.html

Scientific paper

Continuing work begun in a previous paper, we study the real dynamics of a
family of plane birational maps. This time we consider a parameter range where
the real and complex dynamics are different. We show in particular that for one
parameter value, the real dynamics are transient even though the map is not
integrable.

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