Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems

Masakazu Onitsuka; Satoshi Tanaka

Vol. 23 No. 1 (2018)

Regular Articles

Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems

Published 2017-09-11

Masakazu Onitsuka
Satoshi Tanaka

Masakazu Onitsuka
Okayama University of Science, Department of Applied Mathematics, Okayama, Japan

Satoshi Tanaka
Okayama University of Science, Department of Applied Mathematics, Okayama, Japan

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Abstract

A class of two-dimensional linear differential system is considered. The box-counting dimension of the graphs of solution curves is calculated. Criteria to obtain the box-counting dimension of spirals are also established.

Keywords

linear system, box-counting dimension, spiral

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Supplementary File(s)

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