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

Masakazu Onitsuka, Satoshi Tanaka


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.


linear system; box-counting dimension; spiral

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ISSN: 1331-0623 (Print), 1848-8013 (Online)