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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Cell-to-Cell Mapping - A Method of Global Analysis for Nonlinear Systems (Hardcover, 1987 ed.)
Loot Price: R3,188
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Cell-to-Cell Mapping - A Method of Global Analysis for Nonlinear Systems (Hardcover, 1987 ed.)
Series: Applied Mathematical Sciences, 64
Expected to ship within 10 - 15 working days
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For many years, I have been interested in global analysis of
nonlinear systems. The original interest stemmed from the study of
snap-through stability and jump phenomena in structures. For
systems of this kind, where there exist multiple stable equilibrium
states or periodic motions, it is important to examine the domains
of attraction of these responses in the state space. It was through
work in this direction that the cell-to-cell mapping methods were
introduced. These methods have received considerable development in
the last few years, and have also been applied to some concrete
problems. The results look very encouraging and promising. However,
up to now, the effort of developing these methods has been by a
very small number of people. There was, therefore, a suggestion
that the published material, scattered now in various journal
articles, could perhaps be pulled together into book form, thus
making it more readily available to the general audience in the
field of nonlinear oscillations and nonlinear dynamical systems.
Conceivably, this might facilitate getting more people interested
in working on this topic. On the other hand, there is always a
question as to whether a topic (a) holds enough promise for the
future, and (b) has gained enough maturity to be put into book
form. With regard to (a), only the future will tell. With regard to
(b), I believe that, from the point of view of both foundation and
methodology, the methods are far from mature.
General
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