English

On bifurcation of statistical properties of partially hyperbolic endomorphisms

Dynamical Systems 2022-03-30 v1

Abstract

We give an example of a path-wise connected open set of CC^\infty partially hyperbolic endomorphisms on the 22-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.

Keywords

Cite

@article{arxiv.2203.15240,
  title  = {On bifurcation of statistical properties of partially hyperbolic endomorphisms},
  author = {Masato Tsujii and Zhiyuan Zhang},
  journal= {arXiv preprint arXiv:2203.15240},
  year   = {2022}
}

Comments

10 pages, 3 figures