Remarks on a class of periodic points for p-adic transformations and stylized Chebyshev polynomials

Author:

Takei Masato1

Affiliation:

1. Dept. of Applied Mathematics, Faculty of Engineering, Yokohama National University

Publisher

The Institute of Systems, Control and Information Engineers

Subject

General Medicine

Reference6 articles.

1. [1] R. L. Devaney: An introduction to chaotic dynamical systems, Second edition, Addison-Wesley Publishing Company, Redwood City, CA, 1989.

2. [2] M. Fujiwara: Daisuu-gaku (in Japanese), volume I, 14th edition, Uchida-Roukakuho-Shinsha, Tokyo, 1982.

3. [3] Y. Baba and H. Nagashima: A note on a class of periodic orbits of the tent-map, Progr. Theoret. Phys., 81, pp.541-543, 1989.

4. [4] H. Nagashima and Y. Baba: Introduction to chaos: Physics and mathematics of chaotic phenomena, Institute of Physics Publishing, Bristol, 1999.

5. [5] T. J. Rivlin: Chebyshev polynomials: from approximation theory to algebra and number theory, 2nd ed., John Wiley & Sons, Inc., New York, 1990.

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