By P. G. Saffman (auth.), Lui Lam, Hedley C. Morris (eds.)
Structures in Nature are ubiquitous and engaging. In traditional and mathematical structures nonlinear buildings, approximately talking, are these caused by nonlinear equations, the research of which kinds a wide and vital a part of the recent department of science-the nonlinear technological know-how. Like nonlinear technology quite often, non linear buildings is a really interdisciplinary topic which comprises physicists, chemists, biologists, fabric scientists, mathematicians, engineers, and so on. In view of the new fast advancements during this topic and the life of a converging photo which acts to unify many of the formerly thought of separate subfields of study, we predict it's time to assemble a variety of specialists to interchange principles and proportion their most up-to-date findings. the second one Woodward Confer ence afforded us an opportunity to just do this. for that reason, this moment convention within the sequence used to be dedicated to the topic of Nonlinear buildings in actual Sys tems: trend Formation, Chaos and Waves, and used to be held at San Jose kingdom Uni versity on November 17-18, 1989.
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Additional resources for Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and Waves Proceedings of the Second Woodward Conference San Jose State University November 17–18, 1989
Example text
F 9] The understanding of whether wavelength selection is an intrinsic property of the system or rather depends on boundary effects is a fascinating question of pattern formation that continues to motivate extensive analytical and numerical investigations. In directional solidification, although the allowed band of linearly unstable wavelengths for cellular patterns without boundary effects extends over 3 orders of magnitude. e. is much broader than "canonical" hydrodynamic pattern forming systems, the observed band is much less than 1 order of magnitude.
The pictures shown here are of different magnifications. 47 (b) (a) (c) Fig. 12 . ZnS0 4 with copper electrodes. lIn . (a) C = 0 25 . M, t = 91 min. 0 M, t = 46 min. (c) Close up of (a) at t = 182 min after the lower portion of the pattern has been partly broken and distorted . 4 DISCUSSION We have seen here that the range of patterns associated with CuSO 4 and are rich and varied . znSO 4 We have observed that patterns and colors can change abruptly wi thin a single run of the experiment. In general as the thickness was reduced the patterns would become lIOre fan-like, and the separation between the stalks would increase.
R. Soc. Lond. R. B. Hibbert, Phys. Rev. A 40, 1727 (1989). 19. E. Stanley and N. Ostrowsky (Kluwer, Boston, 1988). 20. S. Langer, Science 243, 1150 (1989). 21. F. P. Zhang and L. Lam, unpublished. 22. , C. Normand, Y. G. Velarde, Rev. Mod. Phys. 49, 581 (1977). 23. A. D. U. C. Veinott and L. Lam, in Nonlinear Strucutures in Physical Systems, edited by L. C. Morris (Springer, New York, 1990). 24. E. Ben-Jacob, R. D. Goldenfeld, J. Koplik, H. Levine, T. M. Sander, Phys. Rev. Lett. 55, 1315 (1985); L.