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发信人: wanderer (海王星的小鱼), 信区: Math
标 题: Nonlinear Science FAQ(28)
发信站: 紫 丁 香 (Mon May 15 21:54:01 2000), 转信
What is spatio-temporal chaos?
Spatio-temporal chaos occurs when system of coupled dynamical systems
gives rise to
dynamical behavior that exhibits both spatial disorder (as in rapid
decay of spatial correlations)
and temporal disorder (as in nonzero Lyapunov exponents). This is an
extremely active, and rather
unsettled area of research. For an introduction see:
Cross, M. C. and P. C. Hohenberg (1993). "Pattern Formation outside of
Equilibrium." Rev. Mod. Phys. 65: 851-1112.
An interesting application which exhibits pattern formation and
spatio-temporal chaos is to
excitable media in biological or chemical systems. See
Chaos, Solitions and Fractals 5 #3&4 (1995) Nonlinear Phenomena in
Excitable
Physiological System, <http://www.elsevier.nl/locate/chaos>
<http://www.physiol.arizona.edu/CELL/Instruct/BodyElect/ExcitMemb.
html>
The Excitable Cell Membrane
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