Rectifiability of orbits for two-dimensional nonautonomous differential systems
- 1 January 2021
- journal article
- research article
- Published by University of Szeged in Electronic Journal of Qualitative Theory of Differential Equations
- No. 18,p. 1-23
- https://doi.org/10.14232/ejqtde.2021.1.18
Abstract
The present study is concerned with the rectifiability of orbits for the two-dimensional 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.Keywords
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