Rectifiability of orbits for two-dimensional nonautonomous differential systems

Masakazu Onitsuka, Satoshi Tanaka

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number18
Pages (from-to)18
Number of pages1
JournalElectronic Journal of Qualitative Theory of Differential Equations
Publication statusPublished - 2021


  • Global attractivity
  • Rectifiability
  • Two-dimensional nonautonomous system


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