TY - JOUR
T1 - Dynamically Incoherent Surface Endomorphisms
AU - Hall, Layne
AU - Hammerlindl, Andy
N1 - Funding Information:
This work was partially funded by the Australian Research Council.
Publisher Copyright:
© 2022, The Author(s).
PY - 2023/12
Y1 - 2023/12
N2 - 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.
AB - 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.
KW - Dynamical coherence
KW - Non-invertible dynamics
KW - Partial hyperbolicity
UR - http://www.scopus.com/inward/record.url?scp=85126023426&partnerID=8YFLogxK
U2 - 10.1007/s10884-022-10128-3
DO - 10.1007/s10884-022-10128-3
M3 - Article
AN - SCOPUS:85126023426
SN - 1040-7294
VL - 35
SP - 3651
EP - 3663
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
IS - 4
ER -