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Modelling of Simplified Dynamical Systems (Paperback, Softcover reprint of the original 1st ed. 2002)
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Modelling of Simplified Dynamical Systems (Paperback, Softcover reprint of the original 1st ed. 2002)
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Problems involving synthesis of mathematical models of various
physical systems, making use of these models in practice and
verifying them qualitatively has - come an especially important
area of research since more and more physical - periments are being
replaced by computer simulations. Such simulations should make it
possible to carry out a comprehensive analysis of the various
properties of the system being modelled. Most importantly its
dynamic properties can be - dressed in a situation where this would
be difficult or even impossible to achieve through a direct
physical experiment. To carry out a simulation of a real, phy-
cally existing system it is necessary to have its mathematical
description; the s- tem being described mathematically by
equations, which include certain variables, their derivatives and
integrals. If a single independent variable is sufficient in - der
to describe the system, then derivatives and integrals with respect
to only that variable will appear in the equations. Differentiation
of the equation allows the integrals to be eliminated and produces
an equation which includes derivatives with respect to only one
independent variable i. e. an ordinary differential equation. In
practice, most physical systems can be described with sufficient
accuracy by linear differential equations with time invariant
coefficients. Chapter 2 is devoted to the description of models by
such equations, with time as the independent va- able.
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