Dynamically Incoherent Surface Endomorphisms

Layne Hall, Andy Hammerlindl

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)


We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of T2 in the homotopy class of any linear expanding map with integer eigenvalues. These examples exhibit branching of centre curves along countably many circles, and thus exhibit a form of coherence that has not been observed for invertible systems.

Original languageEnglish
Pages (from-to)3651-3663
Number of pages13
JournalJournal of Dynamics and Differential Equations
Issue number4
Publication statusPublished - Dec 2023


  • Dynamical coherence
  • Non-invertible dynamics
  • Partial hyperbolicity

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