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

2017/03/06 by Masakazu Onitsuka, Satoshi Tanaka, Onitsuka, Masakazu +1
Computer Science · Mathematics · #28A80 #34A30 #37C45 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical Control Systems and Analysis #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1703.01738

openalex publication_date 2017/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A class of two-dimensional linear differential systems is considered. The\nbox-counting dimension of the graphs of solution curves is calculated. Criteria\nto obtain the box-counting dimension of spirals are also established.\n

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