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KATSUTOSHI SHINOHARA
KATSUTOSHI SHINOHARA
Hitotsubashi University, Graduate School of Business Administration
Verified email at r.hit-u.ac.jp - Homepage
Title
Cited by
Cited by
Year
The hypothesis in Pesin theory revisited
C Bonatti, S Crovisier, K Shinohara
arXiv preprint arXiv:1306.6391, 2013
332013
Rigorous estimates of quantization error for A/D converters based on beta-map
T Makino, Y Iwata, K Shinohara, Y Jitsumatsu, M Hotta, H San, K Aihara
Nonlinear Theory and Its Applications, IEICE 6 (1), 99-111, 2015
192015
Blenders in centre unstable Hénon-like families: with an application to heterodimensional bifurcations
LJ Díaz, S Kiriki, K Shinohara
Nonlinearity 27 (3), 353, 2014
172014
Existence of blenders in a Hénon-like family: Geometric insights from invariant manifold computations
S Hittmeyer, B Krauskopf, HM Osinga, K Shinohara
Nonlinearity 31 (10), R239, 2018
122018
On the indices of periodic points in -generic wild homoclinic classes in dimension three
K Shinohara
arXiv preprint arXiv:1006.5571, 2010
122010
Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics
M Asaoka, K Shinohara, D Turaev
Mathematische Annalen 368, 1277-1309, 2017
102017
Fast growth of the number of periodic points arising from heterodimensional connections
M Asaoka, K Shinohara, D Turaev
Compositio Mathematica 157 (9), 1899-1963, 2021
72021
How to identify a hyperbolic set as a blender
S Hittmeyer, B Krauskopf, HM Osinga, K Shinohara
Discrete and Continuous Dynamical Systems 40 (12), 6815-6836, 2020
72020
Volume hyperbolicity and wildness
C Bonatti, K Shinohara
Ergodic Theory and Dynamical Systems 38 (3), 886-920, 2018
72018
On the minimality of semigroup actions on the interval which are C1-close to the identity
K Shinohara
Proceedings of the London Mathematical Society 109 (5), 1175-1202, 2014
72014
An example of C1-generically wild homoclinic classes with index deficiency
K Shinohara
Nonlinearity 24 (7), 1961, 2011
62011
Flexible periodic points
C Bonatti, K Shinohara
Ergodic Theory and Dynamical Systems 35 (5), 1394-1422, 2015
42015
Robust heterodimensional cycles in two-parameter unfolding of homoclinic tangencies
D Li, X Li, K Shinohara, D Turaev
arXiv preprint arXiv:2203.14075, 2022
32022
Estimation of mean squared errors of non-binary A/D-encoders through Fredholm determinants of piecewise-linear transformations
K Shinohara, K Kobayashi
Nonlinear Theory and Its Applications, IEICE 9 (2), 243-258, 2018
32018
Boxing-in of a blender in a Hénon-like family
S Hittmeyer, B Krauskopf, HM Osinga, K Shinohara
Frontiers in Applied Mathematics and Statistics 9, 1086240, 2023
22023
The geometry of blenders in a three-dimensional Hénon-like family
S Hittmeyer, B Krauskopf, H Osinga, K Shinohara
preprint, 2017
22017
Some examples of minimal Cantor sets for iterated function systems with overlap
K Shinohara
Tokyo Journal of Mathematics 37 (1), 225-236, 2014
22014
Aperiodic chain recurrence classes of -generic diffeomorphisms
C Bonatti, K Shinohara
Inventiones mathematicae, 1-53, 2024
12024
A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class
C Bonatti, K Shinohara
Ergodic Theory and Dynamical Systems 44 (8), 2080-2142, 2024
12024
Fredholm Determinants of Generalized -Transformations and MSE Estimates of Corresponding AD-Converters
K Shinohara, K Koayashi
IEICE Proceedings Series 48 (B3L-E-1), 2016
12016
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Articles 1–20