Book Review
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MathSciNet review:
1568026
Full text of review:
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This review is available free of charge.
Book Information:
Author:
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.
C. Conley and R. Easton, Isolated invariant sets and isolating blocks, Trans. Amer. Math. Soc. 158 (1971), 35–61. MR 279830, DOI 10.1090/S0002-9947-1971-0279830-1
[2] M. Davis and R. Skodje, Chemical reactions as problems in nonlinear dynamics, Advances in Classical Trajectory Methods, JAI Press Inc., Greenwich, Connecticut, 1992.
R. W. Easton, J. D. Meiss, and S. Carver, Exit times and transport for symplectic twist maps, Chaos 3 (1993), no. 2, 153–165. MR 1222985, DOI 10.1063/1.165981
Robert Easton, Isolating blocks and epsilon chains for maps, Phys. D 39 (1989), no. 1, 95–110. MR 1021184, DOI 10.1016/0167-2789(89)90041-9
Robert W. Easton, Transport through chaos, Nonlinearity 4 (1991), no. 2, 583–590. MR 1107020
[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.
Martin C. Gutzwiller, Chaos in classical and quantum mechanics, Interdisciplinary Applied Mathematics, vol. 1, Springer-Verlag, New York, 1990. MR 1077246, DOI 10.1007/978-1-4612-0983-6
[9] R. Levine and R. Bernstein, Molecular reaction dynamics, Oxford Univ. Press, London and New York, 1987.
R. S. MacKay, Flux over a saddle, Phys. Lett. A 145 (1990), no. 8-9, 425–427. MR 1052866, DOI 10.1016/0375-9601(90)90306-9
R. S. MacKay, J. D. Meiss, and I. C. Percival, Resonances in area-preserving maps, Phys. D 27 (1987), no. 1-2, 1–20. MR 912848, DOI 10.1016/0167-2789(87)90002-9
[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).
- [1]
- 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).
Review Information:
Reviewer:
Robert W. Easton
Journal:
Bull. Amer. Math. Soc.
28 (1993), 398-402
DOI:
https://doi.org/10.1090/S0273-0979-1993-00373-2
