Method for computing long periodic orbits of dynamical systems

Lambros Drossos, Omiros Ragos, Michael N. Vrahatis, Tassos Bountis

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The accurate computation of periodic orbits, particularly those of long period, is very important for studying a number of interesting properties of dynamical systems. In this paper, we implement a method for computing periodic orbits of dynamical systems efficiently and to a high degree of accuracy. This method converges rapidly, within relatively large regions of initial conditions, and is independent of the local dynamics near periodic points. The only computable information required is the signs of various function evaluations carried out during the integration of the equations of motion. Here we apply this method to a Duffing oscillator and illustrate its advantages by comparing it with other widely used perturbation techniques.

Original languageEnglish
Pages (from-to)1206-1211
Number of pages6
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume53
Issue number1
DOIs
Publication statusPublished - Jan 1 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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