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

2006/09/04 by Eric Bedford, Bedford, Eric, Jeffrey Diller +1
Mathematics · Physics and Astronomy · #32H50 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.math/0609113

openalex publication_date 2006/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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