Astronomy and Astrophysics – Astronomy
Scientific paper
Jan 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..73..249s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 73, Issue 1/4, p. 249-258 (1999).
Astronomy and Astrophysics
Astronomy
3
Volume-Preserving Map, Invariant Tori, Diffusion
Scientific paper
Due to the existence of invariant tori, chaotic sea and hyperbolic structures in higher dimensional phase space of a volume-preserving map, the diffusion route of chaotic orbits will be complicated. The velocity of diffusion will be very slow if the orbits are near an invariant torus. In order to realize this complicated diffusion phenomenon, in this paper we study the diffusion characters in the different regions, i.e., chaotic, hyperbolic and invariant tori's regions. We find that for the three different regions, the diffusion velocities are different. The diffusion velocity in the vicinity of an invariant torus is the slowest one.
Fu Yan-Ning
Sun Yi-Sui
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