Abundance of Fast Growth of the Number of Periodic Points in 2-Dimensional Area-Preserving Dynamics

Author:

Asaoka Masayuki

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference30 articles.

1. Arnold, V.I.: Arnolds problems. Translated and revised edition of the 2000 Russian original. With a preface by Philippov, V., Yakivchik, A., Peters, M. Springer, Berlin; PHASIS, Moscow (2004)

2. Artin M., Mazur B.: On periodic points. Ann. Math. 81(1), 82–99 (1965)

3. Asaoka, M., Turaev, D., Shinohara, K.: Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics. Math. Ann. (2016). doi: 10.1007/s00208-016-1468-0

4. Berger P.: Generic family with robustly infinitely many sinks. Invent. Math. 205, 121–172 (2016)

5. Berger, P.: Generic family displaying robustly a fast growth of the number of periodic points. Preprint. arXiv:1701.0239

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