Real dynamics of a family of plane birational maps: trapping regions and entropy zero
Abstract
Description
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.
20 pages, 8 figures. A version with higher resolution graphics is available at http://www.nd.edu/~jdiller/research.html
20 pages, 8 figures. A version with higher resolution graphics is available at http://www.nd.edu/~jdiller/research.html