@incollection{AST_1977__49__75_0, author = {Ford, Joseph}, title = {Relevance of computer experiments to the pure mathematics of integrable and ergodic dynamical systems}, booktitle = {Syst\`eme dynamique I - Varsovie}, series = {Ast\'erisque}, pages = {75--92}, publisher = {Soci\'et\'e math\'ematique de France}, number = {49}, year = {1977}, mrnumber = {482844}, zbl = {0374.28013}, language = {en}, url = {http://archive.numdam.org/item/AST_1977__49__75_0/} }
TY - CHAP AU - Ford, Joseph TI - Relevance of computer experiments to the pure mathematics of integrable and ergodic dynamical systems BT - Système dynamique I - Varsovie AU - Collectif T3 - Astérisque PY - 1977 SP - 75 EP - 92 IS - 49 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1977__49__75_0/ LA - en ID - AST_1977__49__75_0 ER -
%0 Book Section %A Ford, Joseph %T Relevance of computer experiments to the pure mathematics of integrable and ergodic dynamical systems %B Système dynamique I - Varsovie %A Collectif %S Astérisque %D 1977 %P 75-92 %N 49 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1977__49__75_0/ %G en %F AST_1977__49__75_0
Ford, Joseph. Relevance of computer experiments to the pure mathematics of integrable and ergodic dynamical systems, dans Système dynamique I - Varsovie, Astérisque, no. 49 (1977), pp. 75-92. http://archive.numdam.org/item/AST_1977__49__75_0/
1. Phys. Letters (Section C): Phys. Reports 18C, 1 (1975).
,2. Adv. in Math. 16, 197 (1975) | MR | Zbl
,Russ. Math. Surv. 31, 59 (1976). | Zbl
, , and ,3. Proc. IEEE (USA) 61, 1443 (1973). | MR
, , and ,4. Prog. Theor. Phys. 50, 1547 (1973).
, , and ,5. Ergodic Problems of Classical Mechanics (W. A. Benjamin, Inc., New York, 1968), Appendix 31. | MR | Zbl
and ,6. Ann. Math. 42, 806 (1941) | JFM | Zbl
,Math. Ann 128, 144 (1954). | MR
;7. Astron J. 71, 670 (1966).
,8. J. Math. Phys. 13, 700 (1972). | MR | Zbl
and ,9. Phys. Rev. B9, 1921 (1974). | MR | Zbl
,10. Phys. Rev. B9, 1924 (1974). | Zbl
,11. A third, independent, rigorous proof has also been given by , Soviet Phys.-JETP 40, 269 (1974).
The general solution to the Toda lattice has been given by and , Proc. Nat. Acad. Sci. USA 72, 2879 (1975) | MR | Zbl
The general solution to the Toda lattice has been given by and , Prog. Theor. Phys. 55, 457 (1976). | MR | Zbl
For a survey of recent developments, see Progress of Theoretical Physics Supplement No. 59, 1976.
12. Astron J. 69, 73 (1964). | MR
and ,13. See Ch. 3 of Ref. 5.
14. See pp. 92-93 of Ref. 5.
15. See Ch. 4 of Ref. 5.
16. Russ. Math. Surv. 25, 137 (1970). | Zbl
,17. Numerical Experiments on the Free Motion of a Point Mass Moving in a Plane Convex Region : Stochastic Transition and Entropy for the Billiard," Phys. Rev. A, to appear.
and , "18. Commun. Math. Phys. 50, 69 (1976). | MR | Zbl
,19. J. Atmos. Sci. 20, 130 (1963).
,20. Commun. Math, Phys. 20, 167 | MR
and ,Commun. Math, Phys. 23, 343 (1971). | MR | Zbl
and ,21. The Structure of Lorenz Attractors," preprint, to appear. | DOI
, "