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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Stephen Wiggins
Title: Chaotic transport in dynamical systems
Additional book information: Springer-Verlag, New York, 1992, 301 pp., US$39.95. ISBN 0-387-97522-5


References:

Bibliography

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C. Conley and R. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc. 158 (1971), 35-59. MR 0279830 (43:5551)

[2]
M. Davis and R. Skodje, Chemical reactions as problems in nonlinear dynamics, Advances in Classical Trajectory Methods, JAI Press Inc., Greenwich, Connecticut, 1992.

[3]
R. Easton, J. Meiss, and S. Carver, Exit times and transport for symplectic twist maps, preprint, 1992. MR 1222985 (94g:58070)

[4]
R. W. Easton, Isolating blocks and epsilon chains for maps, Physica D 39 (1989), 95-110. MR 1021184 (90m:58176)

[5]
-, Transport through chaos, Nonlinearity 4 (1991), 583-590. MR 1107020 (92d:58103)

[6]
-, Transport of phase space volume near isolated invariant sets, preprint 1992.

[7]
M. Gruebele and A. Zewail, Ultrafast reaction dynamics, Physics Today, May 1990, 24-33.

[8]
M. Gutzwiller, Chaos in classical and quantum mechanics, Springer-Verlag, New York, 1990. MR 1077246 (91m:58099)

[9]
R. Levine and R. Bernstein, Molecular reaction dynamics, Oxford Univ. Press, London and New York, 1987.

[10]
R. MacKay, Flux over a saddle, Phys. Lett. A 145 (1991), 425-427. MR 1052866 (91b:58073)

[11]
R. S. MacKay, J. D. Meiss, and I. C. Percival, Resonances in area preserving maps, Phys. D 27 (1987), 1-20. MR 912848 (89h:58158)

[12]
D. Truhlar, W. Hase, and J. Hynes, Transition state theory, J. Phys. Chem. 87 (1983).

[13]
E. Wigner, J. Chem. Phys. 5 (1937).

[14]
Focus issue on periodic orbit theory, Chaos, vol. 2, no. 1 (1992).


Additional Information:

Reviewer(s):
Robert W. Easton

Review Information:
Journal: Bull. Amer. Math. Soc. 28 (1993), 398-402.
DOI: 10.1090/S0273-0979-1993-00373-2
PII: S 0273-0979(1993)00373-2




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