Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves

Details Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves

2000-06-19

arxiv.org/abs/gr-qc/0006066v1

Phys.Lett. A271 (2000) 368-376

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 7 figures, LaTeX. To appear in Phys. Lett. A

Scientific paper

10.1016/S0375-9601(00)00391-1

A Hamiltonian system with a modified Henon-Heiles potential is investigated. This describes the motion of free test particles in vacuum gravitational pp-wave spacetimes with both quadratic ("homogeneous") and cubic ("non-homogeneous") terms in the structural function. It is shown that, for energies above a certain value, the motion is chaotic in the sense that the boundaries separating the basins of possible escapes become fractal. Similarities and differences with the standard Henon-Heiles and the monkey saddle systems are discussed. The box-counting dimension of the basin boundaries is also calculated.

Affiliated with

Also associated with

No associations

Rating

Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves 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 Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos in a modified Henon-Heiles system describing geodesics in gravitational waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598313