Non-existence of Lyapunov exponents in the Newhouse domain

Shin Kiriki, Xiaolong Li, Yushi Nakano +1

We show that within the Newhouse domain of $C^r$ surface diffeomorphisms ($r\in [2,\infty )$), there exists a dense subset $\mathcal{D}$ such that for any $f\in \mathcal{D}$, Lyapu…