Abstract
One of the most intriguing aspects of the complex dynamics that govern natural phenomena is perhaps the occurrence of instabilities and symmetry breakings leading to the formation of coherent spatio-temporal structures on macroscopic scales. It is clear now that when a physico-chemical system is maintained in far-fromthermal equilibrium by the application of external constraints, it may go through a succession of instabilities that may induce various types of spatio-temporal organization. Hence, understanding the origin of spatio-temporal order in open systems far from thermal equilibrium - and understanding the selection mechanisms of the spatial structures and their symmetries - is now a major theme of theoretical and experimental research. Furthermore, spatio-temporal organization now appears to be related to technological problems in physics, chemistry, nonlinear optics, and materials science.
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Bibliography
F. Baras and D. Walgraef, eds., Nonequilibrium Chemical Dynamics: from experiment to microscopic simulation, Physica A188 (1992).
F. Busse and L. Kramer, eds., Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, Plenum, New York (1990).
P. E. Cladis and P. Palffy-Muhoray, eds., Spatio-Temporal Patterns in Nonequilibrium Complex Systems,Santa Fe Institute, Proc. Vol. XXI, Addison-Wesley, Reading (1994).
P. Coullet and P. Huerre, eds., New Trends in nonlinear dynamics and pattern forming phenomena: The geometry of nonequilibrium, Plenum, New York (1990).
M. C. Cross and P. C. Hohenberg, Pattern formation outside equilibrium, Rev. Mod. Phys. 65 854 (1993).
H. Haken, Advanced Synergetics,Springer-Verlag, Berlin (1983).
S. Kai, ed., Physics of Pattern Formation in Complex Dissipative Systems, World Scientific, Singapore (1992).
L. Lam and H. C. Morris, eds., Nonlinear Structures in Physical Systems: Pattern Formation, Chaos,and Waves, Springer-Verlag, New York (1989).
P. Manneville, Dissipative Structures and Weak Turbulence, Academic Press, Boston (1990).
G. Martin and L. P. Kubin, eds., Nonlinear Phenomena in Materials Science I & II, Trans Tech, Aedermannsdorf(Switzerland) (1988, 1992).
G. Nicolis. G. Dewel et J.W. Turner, eds., Order and Fluctuations in Equilibrium and Non Equilibrium Statistical Mechanics, Wiley, New York (1981).
G. Nicolis and I. Prigogine, Self-Organization in Non Equilibrium Systems, Wiley, New York (1977).
G. Nicolis and I. Prigogine, Exploring Complexity,W. H. Freeman, New York (1989).
C. Perez Garcia, ed., New Trends in Nonlinear Dynamics: Non variational aspects, Physica D61 (1992).
H. Swinney and J. R Gollub, Hydrodynamic Instabilities, Springer-Verlag, Berlin (1984).
E. Tirapegui and D. Villaroel, eds., Instabilities and Nonequilibrium Structures I and II, Kluwer, Dordrecht (1987, 1989).
E. Tirapegui and W. Zeller, eds., Instabilities and Nonequilibrium Structures III and IV, Kluwer, Dordrecht (1991, 1993).
D. Walgraef, Structures spatiales loin de l’équilibre, Masson, Paris (1988).
D. Walgraef and N. M. Ghoniem, eds., Patterns. Defects and Materials Instabilities, Kluwer Academic Publishers, Dordrecht (1990).
J.E. Wesfreid, H.R. Brand, P. Manneville, G. Albinet and N. Boccara, eds., Propagation in Systems far from Equilibrium, Springer-Verlag, Berlin (1988).
J. E. Wesfreid and S. Zaleski, eds., Cellular Structures in Instabilities, Springer-Verlag, Berlin (1984).
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Walgraef, D. (1997). Introduction. In: Spatio-Temporal Pattern Formation. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1850-0_1
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DOI: https://doi.org/10.1007/978-1-4612-1850-0_1
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