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Book Review
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Book Information
Author(s):
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
References:
- 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 228014
- 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
Additional Information:
Reviewer(s):
Michael
Shub
Review Information:
Journal:
Bull. Amer. Math. Soc.
24
(1991),
199-211.
DOI:
10.1090/S0273-0979-1991-15989-6
PII:
S 0273-0979(1991)15989-6
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