Invariant set of two-dimensional dynamics of golden ratio encoders

Author:

Jitsumatsu Yutaka1ORCID

Affiliation:

1. Department of Informatics, Kyushu University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Reference15 articles.

1. [1] I. Daubechies, R. DeVore, C. Gunturk, and V. Vaishampayan, “Beta expansions: a new approach to digitally corrected A/D conversion,” IEEE 2002 Int. Sympo. Circ. and Syst., ISCAS 2002, pp. II-II, IEEE, 2002.

2. [2] I. Daubechies and O. Yilmaz, “Robust and practical analog-to-digital conversion with exponential precision,” IEEE Transactions on Information Theory, vol. 52, no. 8, pp. 3533-3545, 2006.

3. [3] W. Parry, “On the β-expansions of real numbers,” Acta Math. Acad. Sci. Hung., vol. 11, pp. 401-416, 1960.

4. [4] W. Parry, “Representations for real numbers,” Acta Math. Acad. Sci. Hung., vol. 15, pp. 95-105, 1964.

5. [5] P. Erdös, I. Joó, and V. Komornik, “Characterization of the unique expansions 1=∑i=1 qni and related problems,” Bull. Soc. Math. France, vol. 118, pp. 377-390, 1990.

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