## Abstract

The two-dimensional linear differential system x
^{′}
= y, y
^{′}
= −x− h(t)y is considered on [t
_{0}
, ∞), where h ∈ C
^{1}
[t
_{0}
, ∞) and h(t) > 0 for t ≥ t
_{0}
. The box-counting dimension of graphs of solution curves is calculated. Criteria to obtain the box-counting dimension of spirals are also established.

Original language | English |
---|---|

Pages (from-to) | 43-60 |

Number of pages | 18 |

Journal | Mathematical Communications |

Volume | 23 |

Issue number | 1 |

Publication status | Published - 2018 May |

Externally published | Yes |

## Keywords

- Box-counting dimension
- Linear system
- Spiral

## ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology
- Applied Mathematics