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Funding (7)

`Fingerprints' of wild chaos: from theory to practical relevance

2023 to 2026 | Contract
Marsden Fund (Wellington, NZ)
PROPOSAL_ID:

MFP-22-UOA-204

GRANT_NUMBER:

MFP-UOA2228
Source: check_circle
Royal Society Te Apārangi

Eavesdropping-Resistant Sparse Code Division Multiple Access System using a random number sequence based on dynamical systems

2019-04-01 to 2022-03-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.8415518
GRANT_NUMBER: 19K12156
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

On the structure and the bifurcation of non-hyperbolic attracting regions: theory and numerics

2018-04-01 to 2021-03-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.7530187
GRANT_NUMBER: 18K03357
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

Universal random number generation robust to manufacturing error using AD converters based on beta map

2016-04-01 to 2019-03-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.5906107
GRANT_NUMBER: 16K00333
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

Analysis of non-hyperbolic systems through theories and numerical analysis

2016-04-01 to 2018-03-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.5922877
GRANT_NUMBER: 16K17609
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

野生的な力学系の研究

2014-04-25 to 2016-03-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.5835247
GRANT_NUMBER: 14J01121
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

非双曲型力学系の通有的な性質について

2007-01-01 to 2009-12-31 | Grant
Japan Society for the Promotion of Science (Tokyo, JP)
URL: https://app.dimensions.ai/details/grant/grant.5679472
GRANT_NUMBER: 07J06190
Source: Self-asserted source
Katsutoshi SHINOHARA via DimensionsWizard

Works (11)

How to identify a hyperbolic set as a blender

Discrete and Continuous Dynamical Systems- Series A
2020 | Journal article
DOI: 10.3934/dcds.2020295
EID:

2-s2.0-85092575432

Part of ISSN: 15535231 10780947
Contributors: Hittmeyer, S.; Krauskopf, B.; Osinga, H.M.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Existence of blenders in a Hénon-like family: Geometric insights from invariant manifold computations

Nonlinearity
2018 | Journal article
DOI: 10.1088/1361-6544/aacd66
EID:

2-s2.0-85054611361

Part of ISSN: 13616544 09517715
Contributors: Hittmeyer, S.; Krauskopf, B.; Osinga, H.M.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Volume hyperbolicity and wildness

Ergodic Theory and Dynamical Systems
2018 | Journal article
DOI: 10.1017/etds.2016.51
EID:

2-s2.0-84988422880

Part of ISSN: 14694417 01433857
Contributors: Bonatti, C.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics

Mathematische Annalen
2017 | Journal article
DOI: 10.1007/s00208-016-1468-0
EID:

2-s2.0-84984919894

Part of ISSN: 00255831
Contributors: Asaoka, M.; Shinohara, K.; Turaev, D.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Flexible periodic points

Ergodic Theory and Dynamical Systems
2015 | Journal article
DOI: 10.1017/etds.2013.105
EID:

2-s2.0-84937034609

Part of ISSN: 14694417 01433857
Contributors: Bonatti, C.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Blenders in centre unstable Hénon-like families: With an application to heterodimensional bifurcations

Nonlinearity
2014 | Journal article
DOI: 10.1088/0951-7715/27/3/353
EID:

2-s2.0-84894522919

Part of ISSN: 09517715 13616544
Contributors: Díaz, L.J.; Kiriki, S.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

On the minimality of semigroup actions on the interval which are C<sup>1</sup>-close to the identity

Proceedings of the London Mathematical Society
2014 | Journal article
DOI: 10.1112/plms/pdu032
EID:

2-s2.0-84934874362

Part of ISSN: 1460244X 00246115
Contributors: Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

Some examples of minimal cantor sets for iterated function systems with overlap

Tokyo Journal of Mathematics
2014 | Journal article
DOI: 10.3836/tjm/1406552441
EID:

2-s2.0-84908069776

Part of ISSN: 03873870
Contributors: Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

The C<sup>1+α</sup> hypothesis in Pesin theory revisited

Journal of Modern Dynamics
2014 | Journal article
DOI: 10.3934/jmd.2013.7.605
EID:

2-s2.0-84897761247

Part of ISSN: 19305311
Contributors: Bonatti, C.; Crovisier, S.; Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

An example of C<sup>1</sup>-generically wild homoclinic classes with index deficiency

Nonlinearity
2011 | Journal article
DOI: 10.1088/0951-7715/24/7/003
EID:

2-s2.0-79959269369

Part of ISSN: 09517715 13616544
Contributors: Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier

On the index problem of C <sup>1</sup>-generic wild homoclinic classes in dimension three

Discrete and Continuous Dynamical Systems
2011 | Journal article
DOI: 10.3934/dcds.2011.31.913
EID:

2-s2.0-84859089159

Part of ISSN: 10780947
Contributors: Shinohara, K.
Source: Self-asserted source
Katsutoshi SHINOHARA via Scopus - Elsevier
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