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 SUPPL. B
Publication statusPublished - Jan 1996
Externally publishedYes

Fingerprint

dynamical systems
Periodic Orbits
Dynamical system
orbits
Computing
equations of motion
Duffing Oscillator
Perturbation Technique
Periodic Points
oscillators
Evaluation Function
perturbation
evaluation
Equations of Motion
Initial conditions
Converge

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Method for computing long periodic orbits of dynamical systems. / Drossos, Lambros; Ragos, Omiros; Vrahatis, Michael N.; Bountis, Tassos.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 53, No. 1 SUPPL. B, 01.1996, p. 1206-1211.

Research output: Contribution to journalArticle

Drossos, Lambros ; Ragos, Omiros ; Vrahatis, Michael N. ; Bountis, Tassos. / Method for computing long periodic orbits of dynamical systems. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1996 ; Vol. 53, No. 1 SUPPL. B. pp. 1206-1211.
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