Nature is inherently noisy and nonlinear. It is noisy in the sense
that all macroscopic systems are subject to the fluctuations of
their environments and also to internal fluctuations. It is
nonlinear in the sense that the restoring force on a system
displaced from equilibrium does not usually vary linearly with the
size of the displacement. To calculate the properties of stochastic
(noisy) nonlinear systems is in general extremely difficult,
although considerable progress has been made in the past. The three
volumes that make up Noise in Nonlinear Dynamical Systems comprise
a collection of specially written authoritative reviews on all
aspects of the subject, representative of all the major
practitioners in the field. The first volume deals with the basic
theory of stochastic nonlinear systems. It includes an historical
overview of the origins of the field, chapters covering some
developed theoretical techniques for the study of coloured noise,
and the first English-language translation of the landmark 1933
paper by Pontriagin, Andronov and Vitt.
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