The two-dimensional linear differential system x' = y; y' = -x - h(t)y is considered on [t0, ∞), where h ∈ C1[t0, ∞) and h(t) > 0 for t ≥ t0. The box-counting dimension of the graphs of solution curves is calculated. Criteria to obtain the box-counting dimension of spirals are also established.
MSC Codes 34A30, 37C45, 28A80
|Publication status||Published - 2017 Mar 6|
- Box-counting dimension
- Linear system
ASJC Scopus subject areas