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