@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}, author = {Collectif}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {49}, year = {1977}, zbl = {0374.28013}, mrnumber = {482844}, language = {en}, url = {http://www.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 DA - 1977/// IS - 49 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_1977__49__75_0/ UR - https://zbmath.org/?q=an%3A0374.28013 UR - https://www.ams.org/mathscinet-getitem?mr=482844 LA - en ID - AST_1977__49__75_0 ER -
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), 18 p. http://www.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 375869 | Zbl 0303.34019
,Russ. Math. Surv. 31, 59 (1976). | Zbl 0346.35025
, , and ,3. Proc. IEEE (USA) 61, 1443 (1973). | MR 358045
, , 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 232910 | Zbl 0167.22901
and ,6. Ann. Math. 42, 806 (1941) | JFM 67.0768.01 | Zbl 0025.26503
,Math. Ann 128, 144 (1954). | MR 67298
;7. Astron J. 71, 670 (1966).
,8. J. Math. Phys. 13, 700 (1972). | MR 305762 | Zbl 0241.34044
and ,9. Phys. Rev. B9, 1921 (1974). | MR 408646 | Zbl 0942.37503
,10. Phys. Rev. B9, 1924 (1974). | Zbl 0942.37504
,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 426538 | Zbl 0343.34004
The general solution to the Toda lattice has been given by and , Prog. Theor. Phys. 55, 457 (1976). | MR 403367 | Zbl 1109.37307
For a survey of recent developments, see Progress of Theoretical Physics Supplement No. 59, 1976.
12. Astron J. 69, 73 (1964). | MR 158746
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 0263.58011
,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 422932 | Zbl 0576.58018
,19. J. Atmos. Sci. 20, 130 (1963).
,20. Commun. Math, Phys. 20, 167 | MR 284067
and ,Commun. Math, Phys. 23, 343 (1971). | MR 292391 | Zbl 0227.76084
and ,21. The Structure of Lorenz Attractors," preprint, to appear. | Article | MR 461581 | Zbl 0484.58021
, "