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Forward Period Analysis Method of the Periodic Hamiltonian System - Fig 1
Abstract
<p>Illustrations of the direct simulation of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0163303#pone.0163303.e003" target="_blank">Eq 2</a>: (a) variable <i>x</i> by PMT; (b) error of <i>x</i> computed by the SE2 method; (c) structure of the <i>x</i>-<i>p</i> plane by PMT; (d) the Hamiltonian <i>H</i> by PMT to <i>T</i> = 10<sup>7</sup>; (e) error of the Hamiltonian <i>H</i> by the SE2 method. Panels (a–c) have step-size <i>h</i> = 0.01; (d–e) have step-size <i>h</i> = 0.1.</p- Image
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- period analysis
- pendulum system
- PMT
- Planck time
- Forward Period Analysis Method
- scheme
- FPA
- reference solutions
- computation time
- time unit
- simulation
- Morse oscillator
- multiple-precision Taylor series