Rectifiability of orbits for two-dimensional nonautonomous differential systems

M. Onitsuka and S. Tanaka

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.

Electronic Journal of Qualitative Theory of Differential Equations

2021

18

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