Forward Period Analysis Method of the Periodic Hamiltonian System

Using the forward period analysis (FPA), we obtain the period of a Morse oscillator and mathematical pendulum system, with the accuracy of 100 significant digits. From these results, the long-term [0, 10(60)] (time unit) solutions, ranging from the Planck time to the age of the universe, are compute...

Descripción completa

Detalles Bibliográficos
Autor principal: Wang, Pengfei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5058551/
https://www.ncbi.nlm.nih.gov/pubmed/27727295
http://dx.doi.org/10.1371/journal.pone.0163303
Descripción
Sumario:Using the forward period analysis (FPA), we obtain the period of a Morse oscillator and mathematical pendulum system, with the accuracy of 100 significant digits. From these results, the long-term [0, 10(60)] (time unit) solutions, ranging from the Planck time to the age of the universe, are computed reliably and quickly with a parallel multiple-precision Taylor series (PMT) scheme. The application of FPA to periodic systems can greatly reduce the computation time of long-term reliable simulations. This scheme provides an efficient way to generate reference solutions, against which long-term simulations using other schemes can be tested.

Ejemplares similares