Book Review
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MathSciNet review:
1567901
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Book Information:
Author:
David Ruelle
Title:
Elements of differentiable dynamics and bifurcation theory
Additional book information:
Academic Press, New York, 1989, 187 pp., $27.50. ISBN 0-12-601710-7.
S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
2. E. N. Lorenz, Deterministic non-periodic flow, J. Atmospheric Sci. 20 (1963), 130-141.
D. Ruelle and F. Takens, Note concerning our paper: “On the nature of turbulence”, Comm. Math. Phys. 23 (1971), 343–344. MR 292391
V. I. Arnol′d, Geometrical methods in the theory of ordinary differential equations, 2nd ed., Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 250, Springer-Verlag, New York, 1988. Translated from the Russian by Joseph Szücs [József M. Szűcs]. MR 947141, DOI 10.1007/978-1-4612-1037-5
5. S. Smale, On how I got started in dynamical systems, The Mathematics of Time, Springer-Verlag, New York, Berlin, 1980.
6. R. Abraham, The dynamics newsletter, Santa Cruz, Cal., October, 1989.
James Gleick, Chaos, Penguin Books, New York, 1987. Making a new science. MR 1010647
8. Math. Intelligencer, vol. 11, Springer-Verlag, Berlin, New York, 1989.
9. P. Roth, The Facts, Penguin, New York 1989.
10. R. Thorn, Structured stability and morphogenesis (English edition), W. A. Benjamin, Reading, Mass., 1975.
Peter Walters, Topological conjugacy of affine transformations of tori, Trans. Amer. Math. Soc. 131 (1968), 40–50. MR 224737, DOI 10.1090/S0002-9947-1968-0224737-9
- 1.
- S. Smale, Differential dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817; reprinted with comments in S. Smale, The mathematics of time, Springer-Verlag, New York, Berlin, 1980. MR 0228014
- 2.
- E. N. Lorenz, Deterministic non-periodic flow, J. Atmospheric Sci. 20 (1963), 130-141.
- 3.
- D. Ruelle and F. Takens, On the nature of turbulence, Comm. Math. Phys. 20 (1971), 167-192; Note concerning our paper on the nature of turbulence, Comm. Math. Phys. 23 (1971), 343-344. MR 292391
- 4.
- V. I. Arnold, Geometrical methods in the theory of ordinary differential equations, 2nd ed., (English version) Springer-Verlag, New York, 1988. MR 947141
- 5.
- S. Smale, On how I got started in dynamical systems, The Mathematics of Time, Springer-Verlag, New York, Berlin, 1980.
- 6.
- R. Abraham, The dynamics newsletter, Santa Cruz, Cal., October, 1989.
- 7.
- J. Gleick, Chaos, Viking, New York, 1987. MR 1010647
- 8.
- Math. Intelligencer, vol. 11, Springer-Verlag, Berlin, New York, 1989.
- 9.
- P. Roth, The Facts, Penguin, New York 1989.
- 10.
- R. Thorn, Structured stability and morphogenesis (English edition), W. A. Benjamin, Reading, Mass., 1975.
- 11.
- P. Walters, Affine transformation of tori, Trans. Amer. Math. Soc. 131 (1968), 40-50. MR 224737
Review Information:
Reviewer:
Michael Shub
Journal:
Bull. Amer. Math. Soc.
24 (1991), 199-211
DOI:
https://doi.org/10.1090/S0273-0979-1991-15989-6
