Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem

Details Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem

2002-09-24

arxiv.org/abs/astro-ph/0209508v2

Phys.Rev.Lett. 90 (2003) 054104

Astronomy and Astrophysics

Astrophysics

4 pages, 4 figures, submitted to PRL

Scientific paper

10.1103/PhysRevLett.90.054104

A {\it shadow} is an exact solution to a chaotic system of equations that remains close to a numerically computed solution for a long time, ending in a {\it glitch}. We study the distribution of shadow durations at low dimension and how shadow durations scale as dimension increases up to 300 in a slightly simplified gravitational n-body system. We find that ``softened'' systems are shadowable for many tens of crossing times even for large n, while in an ``unsoftened'' system each particle encounters glitches independently as a Poisson process, giving shadow durations that scale as 1/n.

Affiliated with

Also associated with

No associations

Rating

Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612081