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Chaotic Motions in Nonlinear Dynamical Systems (Paperback, 1988 ed.)
Loot Price: R1,597
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Chaotic Motions in Nonlinear Dynamical Systems (Paperback, 1988 ed.)
Series: CISM International Centre for Mechanical Sciences, 298
Expected to ship within 10 - 15 working days
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Discoveries of chaotic, unpredictable behaviour in physical
deterministic systems has brought about new analytic and
experimental techniques in dynamics. The modern study of the new
phenomena requires the analyst to become familiar with experiments
(at least with numerical ones), since chaotic solutions cannot be
written down, and it requires the experimenter to master the new
concepts of the theory of nonlinear dynamical systems. This book is
unique in that it presents both viewpoints: the viewpoint of the
analyst and of the experimenter. In the first part F. Moon outlines
the new experimental techniques which have emerged from the study
of chaotic vibrations. These include Poincare sections, fractial
dimensions and Lapunov exponents. In the text by W.
Szemplinska-Stupnicka the relation between the new chaotic
phenomena and classical perturbation techniques is explored for the
first time. In the third part G. Iooss presents methods of analysis
for the calculations of bifurcations in nonlinear systems based on
modern geometric mathematical concepts.
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