LOCAL BOX-COUNTING TO DETERMINE FRACTAL DIMENSION OF HIGH-ORDER CHAOS

Motohisa Osaka () and Nobuyasu Ito ()
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Motohisa Osaka: Center of Information Sciences, Nippon Medical School, Tokyo 113-8602, Japan
Nobuyasu Ito: Department of Applied Physics, School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 08, 1519-1526

Abstract: To determine the attractor dimension of chaotic dynamics, the box-counting method has the difficulty in getting accurate estimates because the boxes are not weighted by their relative probabilities. We present a new method to minimize this difficulty. The local box-counting method can be quite effective in determining the attractor dimension of high-order chaos as well as low-order chaos.

Keywords: Chaos; Nonlinear Dynamics; Fractal; Dimension; Complexity; Time-Delay Equation (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100001474

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