Invariants and labels in Lie-Poisson systems

Annals of the New York Academy of Sciences

Volumn 867, Issue , 1998, Pages 109-119

  Thiffeault, Jean Luc ^a   Morrison, P J ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFERENCE PAPER; DYNAMICS; LIQUID; MATHEMATICS; STATISTICS;

EID: 0032469177     PISSN: 00778923     EISSN: None     Source Type: Book Series    
DOI: 10.1111/j.1749-6632.1998.tb11253.x     Document Type: Conference Paper

References (12)

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2. MARSDEN, J.E. & T.S. RATIU. 1994. Introduction to Mechanics and Symmetry. Springer-Verlag. Berlin.
3. NEWCOMB, W.A. 1962. Lagrangian and Hamiltonian methods in magnetohydrodynamics. Nuclear Fusion: Supplement, Part 2.
4. MORRISON, P.J. 1987. Variational principle and stability of nonmonotonic Vlasov-Poisson equilibria. Z. Naturforsch 42a: 1115.
5. HAZELTINE, R.D., D.D. HOLM & P.J. MORRISON. 1985. Electromagnetic solitary waves in magnetized plasmas. J. Plasma Physics 34: 103.
6. MARSDEN, J.E. & P.J. MORRISON. 1984. Noncanonical Hamiltonian field theory and reduced MHD. Contemp. Math. 28:133.
7. MORRISON, P.J. & R.D. HAZELTINE. 1984. Hamiltonian formulation of reduced magnetohydrodynamics. Phys. Fluids 27: 886.
8. BENJAMIN, T.B. 1984. Impulse, flow force, and variational principles. IMA J. Appl. Math 32: 3.
9. STRAUSS, H.R. 1977. Dynamics of high β tokamaks. Phys. Fluids 20: 1354.
10. HAZELTINE, R.D., M. KOTSCHENREUTHER & P.J. MORRISON. 1985. A four-field model for tokamak plasma dynamics. Phys. Fluids 28: 2466.
11. HAZELTINE, R.D., C.T. HSU & P.J. MORRISON. 1987. Hamiltonian four-field model for nonlinear tokamak dynamics. Phys. Fluids 30: 3204.
12. THIFFEAULT, J.-L. & P.J. MORRISON. 1998. Classification and Casimir invariants of Lie-Poisson brackets. Institute for Fusion Studies Report 837.