Forward Period Analysis Method of the Periodic Hamiltonian System

Pengfei Wang

PLOS ONE, 2016, vol. 11, issue 10, 1-13

Abstract: 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, 1060] (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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0163303

DOI: 10.1371/journal.pone.0163303

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