How Important are the Equations of Motion in a Chaotic System?

Details How Important are the Equations of Motion in a Chaotic System? How Important are the Equations of Motion in a Chaotic System?

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002ssrv..102..115m&link_type=abstract

Space Science Reviews, v. 102, Issue 1, p. 115-120 (2002).

Computer Science

2

Scientific paper

We inquire whether some important features might be lost in studying the gravitational n-body problem because chaos makes it impossible to follow exact phase trajectories. We test this by comparing deliberately crude `integrations' with published results from more precise methods. A general tendency found with high-quality integrations is that a central singularity forms at finite time. The time until that singularity forms is fairly reproducible for systems started from a more or less standard form. We find the same tendency with crude methods, although the time to reach that singularity from the usual initial conditions is less accurately reproduced with cruder methods.

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