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Chaotic Behaviour of Deterministic Dissipative Systems (Paperback, New ed)
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Chaotic Behaviour of Deterministic Dissipative Systems (Paperback, New ed)
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This is a graduate text surveying both the theoretical and
experimental aspects of chaotic behaviour. Over the course of the
past two decades it has been discovered that relatively simple,
deterministic, nonlinear mathematical models that describe dynamic
phenomena in various physical, chemical, biological and other
systems yield solutions which are aperiodic and depend very
sensitively on the initial conditions. This phenomenon is known as
deterministic chaos. The authors present chaos as a model of many
seemingly random processes in nature. Basic notions from the theory
of dynamical systems and bifurcation theory, together with the
properties of chaotic solutions, are then described and are
illustrated by examples. A review of the numerical methods used
both in studies of mathematical models and in the interpretation of
experimental data is also provided.
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