Abstract
The present study is concerned with the rectifiability of orbits for the twodimensional nonautonomous differential systems. Criteria are given whether the orbit has a finite length (rectifiable) or not (nonrectifiable). The global attractivity of the zero solution is also discussed. In the linear case, a necessary and sufficient condition can be obtained. Some examples and numerical simulations are presented to explain the results.
| Original language | English |
|---|---|
| Article number | 18 |
| Pages (from-to) | 18 |
| Number of pages | 1 |
| Journal | Electronic Journal of Qualitative Theory of Differential Equations |
| Volume | 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Global attractivity
- Rectifiability
- Two-dimensional nonautonomous system