ON BIFURCATION OF STATISTICAL PROPERTIES OF PARTIALLY HYPERBOLIC ENDOMORPHISMS

Masato Tsujii (1) , Zhiyuan Zhang (2)

1 Kyushu University
2 LAGA - Laboratoire Analyse, Géométrie et Applications

We give an example of a path-wise connected open set of C ∞ partially hyperbolic endomorphisms on the 2-torus, on which the SRB measure exists for each system and varies smoothly depending on the system, while the sign of its central Lyapunov exponent does change.

Domaines: Systèmes dynamiques [math.DS]

Masato Tsujii, Zhiyuan Zhang. ON BIFURCATION OF STATISTICAL PROPERTIES OF PARTIALLY HYPERBOLIC ENDOMORPHISMS. 2022. ⟨hal-03857575⟩