arXiv:2203.15240 Abstract | arXiv Analytics

arXiv:2203.15240 [math.DS]Abstract References Reviews Resources

On bifurcation of statistical properties of partially hyperbolic endomorphisms

Published 2022-03-29Version 1

We give an example of a path-wise connected open set of $C^\infty$ 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.

Comments: 10 pages, 3 figures

Categories: math.DS

Subjects: 37C30, 37C40, 37D30

Keywords: partially hyperbolic endomorphisms, statistical properties, bifurcation, central lyapunov exponent, path-wise connected open set

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