English

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

Classical Analysis and ODEs 2017-03-08 v2

Abstract

A class of two-dimensional linear differential systems 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

Cite

@article{arxiv.1703.01738,
  title  = {Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems},
  author = {Masakazu Onitsuka and Satoshi Tanaka},
  journal= {arXiv preprint arXiv:1703.01738},
  year   = {2017}
}

Comments

20 pages, 6 figures