Fractal boundaries for exit in Hamiltonian dynamics

Details Fractal boundaries for exit in Hamiltonian dynamics Fractal boundaries for exit in Hamiltonian dynamics

Jul 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..38..930b&link_type=abstract

Physical Review A - General Physics, 3rd Series (ISSN 0556-2791), vol. 38, July 15, 1988, p. 930-938. Navy-DOE-supported researc

Mathematics

Dynamical Systems

70

Astrodynamics, Boundary Value Problems, Chaos, Dynamical Systems, Fractals, Hamiltonian Functions, Orbital Mechanics, Asteroids, Orbit Perturbation, Saturn Rings, Solar Orbits

Scientific paper

It is demonstrated that fractal boundaries (FBs) in initial-condition space can occur for Hamiltonian systems. In addition, it is possible that smooth and fractal parts of the boundary can be interwined on arbitrarily fine scale for such a system. It is suggested that FBs in initial-condition space are a typical feature of chaotic Hamiltonian systems with multiple modes of exit. These results may be relevant to the investigation of the structure of the rings of Saturn and the characteristics of an asteroid in orbit between the orbits of Mars and Jupiter.

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