Rectifiability of orbits for two-dimensional nonautonomous differential systems
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 c...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2021-03-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8756 |
Summary: | 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. |
---|---|
ISSN: | 1417-3875 |