Similarities of inter-point distance distributions on original and reconstructed attractors-Reference-Cited by-同舟云学术

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Similarities of inter-point distance distributions on original and reconstructed attractors

Published:2022 Issue:2 Volume:13 Page:385-390
ISSN:2185-4106
Container-title:Nonlinear Theory and Its Applications, IEICE
language:en
Short-container-title:NOLTA

Author:

Sawada Kazuya¹^ORCID,Shimada Yutaka²^ORCID,Ikeguchi Tohru³^ORCID

Affiliation:

1. Department of Information and Computer Technology, Graduate School of Engineering, Tokyo University of Science

2. Department of Information and Computer Sciences, Graduate School of Science and Engineering, Saitama University

3. Department of Information and Computer Technology, Faculty of Engineering, Tokyo University of Science

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

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

Link

https://www.jstage.jst.go.jp/article/nolta/13/2/13_385/_pdf

Reference22 articles.

1. [1] F. Takens, “Detecting strange attractors in turbulence,” Dynamical Systems and Turbulence, vol. 898, pp. 366-381, 1981.

2. [2] T. Sauer, J. A. Yorke, and M. Casdagli, “Embedology,” Journal of Statistical Physics, vol. 65, no. 3, pp. 579-616, 1991.

3. [3] P. Grassberger and I. Procaccia, “Characterization of strange attractors,” Physical Review Letters, vol. 50, no. 5, pp. 346-349, 1983.

4. [4] J. Lin, “Divergence measures based on the shannon entropy,” IEEE Transactions on Information Theory, vol. 37, no. 1, pp. 145-151, 1991.

5. [5] J. G. Caputo, B. Malraison, and P. Atten, “Determination of attractor dimension and entropy for various flows: An experimentalist's viewpoint,” In Dimensions and Entropies in Chaotic Systems, pp. 180-190. Springer, 1986.

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