Mapping of non-Autonomous dynamical systems to autonomous ones

Davood Momeni*, Phongpichit Channuie, Mudhahir Al Ajmi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Using a proper choice of the dynamical variables, we show that a non-Autonomous dynamical system transforming to an autonomous dynamical system with a certain coordinate transformations can be obtained by solving a general nonlinear first-order partial differential equations. We examine some special cases and provide particular physical examples. Our framework constitutes general machineries in investigating other non-Autonomous dynamical systems.

Original languageEnglish
Article number1950089
JournalInternational Journal of Geometric Methods in Modern Physics
Volume16
Issue number6
DOIs
Publication statusPublished - Jun 1 2019

Keywords

  • Autonomous
  • eigenfunctions
  • eigenvalues
  • non-Autonomous
  • time

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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