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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Autowave Processes in Kinetic Systems - Spatial and Temporal Self-Organisation in Physics, Chemistry, Biology, and Medicine (Hardcover, 1987 ed.)
Loot Price: R1,674
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Autowave Processes in Kinetic Systems - Spatial and Temporal Self-Organisation in Physics, Chemistry, Biology, and Medicine (Hardcover, 1987 ed.)
Series: Mathematics and its Applications, 11
Expected to ship within 10 - 15 working days
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Probably, we are obliged to Science, more than to any other field
of the human activity, for the origin of our sense that collective
efforts are necessary indeed. F. Joliot-Curie The study of autowave
processes is a young science. Its basic concepts and methods are
still in the process of formation, and the field of its
applications to various domains of natural sciences is expanding
continuously. Spectacular examples of various autowave processes
are observed experimentally in numerous laboratories of quite
different orientations, dealing with investigations in physics,
chemistry and biology. It is O1). r opinion, however, that if a
history of the discovery of autowaves will he written some day its
author should surely mention three fundamental phenomena which were
the sources of the domain in view. "Ve mean combustion and phase
transition waves, waves in chemical reactors where
oxidation-reduction processes take place, and propagation of
excitations in nerve fibres. The main tools of the theory of
autowave processes are various methods used for investigating
nonlinear discrete or distributed oscillating systems, the mathe
matical theory of nonlinear parabolic differential equations, and
methods of the theory of finite automata. It is noteworthy that the
theory of autowave, ., has been greatly contributed to be work of
brilliant mathematicians who anticipated the experimental
discoveries in their abstract studies. One should mention R.
Fishel' (1937), A. N. Kolmogorov, G. 1. Petrovskii, and N. S.
Piskunov (1937), N. Wiener and A. Rosenbluth (1946), A. Turing
(1952)."
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