Rectifiability of orbits for two-dimensional nonautonomous differential systems

Masakazu Onitsuka, Satoshi Tanaka

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Article number18
Pages (from-to)18
Number of pages1
JournalElectronic Journal of Qualitative Theory of Differential Equations
Volume2021
DOIs
Publication statusPublished - 2021

Keywords

  • Global attractivity
  • Rectifiability
  • Two-dimensional nonautonomous system

ASJC Scopus subject areas

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Rectifiability of orbits for two-dimensional nonautonomous differential systems'. Together they form a unique fingerprint.

Cite this