Xiaolong Li

collaborators

2 papers

math.DS2026

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 $D$ such that for any $f \in D$ , Lyapu…

math.DS2026

Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies

Dongchen Li, Xiaolong Li, Katsutoshi Shinohara +1

We establish a necessary and sufficient condition for the birth of heterodimensional cycles from a generic homoclinic tangency to a hyperbolic periodic orbit. We prove for $C^{r}$ ($…