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.
|Number of pages||18|
|Publication status||Published - 2018 May|
- Box-counting dimension
- Linear system