Christian Bonatti, Katsutoshi Shinohara. Aperiodic chain recurrence classes of $C^{1}$-generic diffeomorphisms. Inventiones mathematicae. 2024. 238. 637-689
CHRISTIAN BONATTI, KATSUTOSHI SHINOHARA. A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. Ergodic Theory and Dynamical Systems. 2024. 44. 8. 2080-2142
Xiaolong Li, Katsutoshi Shinohara. On super-exponential divergence of periodic points for partially hyperbolic systems. Discrete & Continuous Dynamical Systems. 2022. 42. 4. 1707-1729
Masayuki Asaoka, Katsutoshi Shinohara, Dmitry Turaev. Fast growth of the number of periodic points arising from heterodimensional connections. Compositio Mathematica. 2021. 157. 9. 1899-1963
Stefanie Hittmeyer, Bernd Krauskopf, Hinke M. Osinga, Katsutoshi Shinohara. HOW TO IDENTIFY A HYPERBOLIC SET AS A BLENDER. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2020. 40. 12. 6815-6836