Periodic solutions of a 2D-autonomous system using Mathematica®

  • Authors:
  • A. Marasco;C. Tenneriello

  • Affiliations:
  • Department of Mathematics and Applications "R. Caccioppoli", University of Naples Federico II, Via Cintia, 80126, Naples, Italy;Department of Mathematics and Applications "R. Caccioppoli", University of Naples Federico II, Via Cintia, 80126, Naples, Italy

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2007

Quantified Score

Hi-index 0.98

Visualization

Abstract

In this paper a numerical and symbolic procedure is developed to determine periodic solutions of planar autonomous systems. The proposed method supplies the Fourier series of the periodic solutions as well as their period in the presence of isochronous centers and unstable limit cycles.