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Fractal boundaries in magnetotail particle dynamics
Author(s) -
Chen J.,
Rexford J. L.,
Lee Y. C.
Publication year - 1990
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl017i008p01049
Subject(s) - fractal , phase space , physics , hamiltonian system , geometry , fractal dimension , classical mechanics , plane (geometry) , hamiltonian (control theory) , dynamics (music) , statistical physics , mathematical analysis , mathematics , quantum mechanics , mathematical optimization , acoustics
It has been recently established that particle dynamics in the magnetotail geometry can be described as a nonintegrable Hamiltonian system with well‐defined entry and exit regions through which stochastic orbits can enter and exit the system after repeatedly crossing the equatorial plane. It is shown that the phase space regions occupied by orbits of different numbers of equatorial crossings or different exit modes are separated by fractal boundaries. The fractal boundaries in an entry region for stochastic orbits are examined and the capacity dimension is determined.