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Chaotic structures of nonlinear magnetic fields I: Theory
Author(s) -
Lee Nam C.,
Parks George K.
Publication year - 1992
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 - 10.1029/92gl00085
Subject(s) - nonlinear system , chaotic , magnetic field , physics , duffing equation , magnetohydrodynamics , classical mechanics , plasma , work (physics) , field (mathematics) , computer science , mathematics , quantum mechanics , artificial intelligence , pure mathematics
Tidman and Krall [1971] have studied extensively the behavior of nonlinear magnetic fields in MHD plasmas. We have closely followed their work but our emphasis is different. We demonstrate here that the nonlinear magnetic field equations can be cast in the form of Duffing's equation. A Duffing system includes chaotic behavior; hence our study provides a different perspective on magnetic field development not previously discussed.