414 J. E. MARSDEN, MECHANICS, DYNAMICS, AND SYMMETRY
- Armero, F. and J.C. Simo [1993] A-Priori Stability Estimates and Uncondi-
tionally Stable Product Formula Algorithms for Non-Linear Coupled Ther-
moplasticity. Int. J of Plasticity, 9 , 149- 182. - Armero, F. and J.C. Simo [1996] Long-Term Dissipativity of Time-Stepping
Algorithms for an Abstract Evolution Equation with Applications to the In-
compressible MHD and Navier-Stokes Equations. Comp. Meth. Appl. Mech.
Eng. 131 , 41-90. - Armero, F. and J.C. Simo [1996] Formulation of a new class of fraction-step
methods for the incompressible MHD equations that retains the long-term
dissipativity of the continuum dynamical system, Fields Institute Comm. 10 ,
1-23. - Arms, J .M., J .E. Marsden, and V. Moncrief [1981] Symmetry and bifurcations
of momentum mappings, Comm. Math. Phys. 78 , 455-478. - Arms, J.M., J.E. Marsden, and V. Moncrief [1982] The structure of the space
solutions of Einstein's equations: II Several Killings fields and the Einstein-
Yang-Mills equations, Ann. of Phys. 144 , 81 - 106. - Arnold, V.I. [1966a] Sur la geometrie differentielle des groupes de Lie de
dimenson infinie et ses applications a l'hydrodynamique des fluids parfaits.
Ann. Inst. Fourier, Grenoble 16 , 319 - 361. - Arnold, V.I. [1966b] On an a priori estimate in the theory of hydrodynamical
stability. Izv. Vyssh. Uchebn. Zaved. Mat. Nauk 54 , 3- 5; English Translation:
Amer. Math. Soc. Transl. 79 [1969], 267-269. - Arnold, V.I. [1966c] Sur un principe variationnel pour les decoulements sta-
tionaires des liquides parfaits et ses applications aux problemes de stabilite
non lineaires. J. Mecanique 5 , 29 -43. - Arnold, V. I. [1989] Mathematical Methods of Classical Mechanics. Second
Edition Graduate Texts in Math 60 , Springer-Verlag. - Arnold, V.I. and B. Khesin [1992] Topological methods in hydrodynamics.
Ann. Rev. Fluid Mech. 24 , 145- 166. - Arnold, V.I. and B. Khesin [1997] Topological m ethods in Fluid Dynamics.
Appl. Math. Sciences, Springer-Verlag. - Arnold, V.I., V.V. Kozlov, and A.I. Neishtadt [1988] Mathematical aspects
of classical and celestial mechanics, in: Dynamical Systems III, V.I. Arnold,
ed. Springer-Verlag. - Ashbaugh, M.S., C.C. Chicone, and R.H. Cushman [1990] The twisting tennis
racket. Dyn. Diff. Eqns. 3, 67 -85. - Astrom, K.J. and K. Furuta [1996] Swinging up a pendulum by energy control.
IFAC, San Francisco 13. - Austin, M., P.S. Krishnaprasad, and L.S. Wang [1993] Almost Poisson inte-
gration of rigid body systems. J. Comput. Phys. 107 , 105-117. - Barth, E. and Leimkuhler, B. [1996a]. A semi-explicit, variable-stepsize in-
tegrator for constrained dynamics. Mathematics department preprint series,
University of Kansas.