Neutral line chaos and phase space structure | Zendy

Burkhart Grant R. | Zendy; Martin Richard F. | Zendy; Dusenbery Paul B. | Zendy; Speiser Theodore W. | Zendy

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Neutral line chaos and phase space structure

Author(s) -

Burkhart Grant R.,

Martin Richard F.,

Dusenbery Paul B.,

Speiser Theodore W.

Publication year - 1991

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 - 10.1029/91gl01518

Subject(s) - physics , adiabatic process , phase space , chaos (operating system) , line (geometry) , space (punctuation) , momentum (technical analysis) , phase (matter) , constant (computer programming) , angular momentum , action (physics) , classical mechanics , mathematical physics , quantum mechanics , mathematics , geometry , computer science , computer security , finance , economics , programming language , operating system

Numerical surface of section techniques and analytic methods are used to study phase space structure and chaos near a neutral line. We find that, for −(2 h ) 1/2 ≤ P y ≤ (2 h ) 1/2 , the ratio of fields, b n , rather than κ, is the appropriate chaos parameter, where P y and h are the normalized canonical momentum and energy. We find that the action integral adiabatic constant is approximately conserved and can be used to describe particle motion as long as b n ≪ 1 or b n ≫ 1.

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