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Chaotic Motions in Nonlinear Dynamical Systems : CISM International Centre for Mechanical Sciences - Wanda Szemplinska-Stupnicka

Chaotic Motions in Nonlinear Dynamical Systems

CISM International Centre for Mechanical Sciences

Paperback Published: 1st June 1988
ISBN: 9783211820629
Number Of Pages: 193

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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.

Experiments in Chaotic Dynamics
Chaotic and Regular Motion in Nonlinear Vibrating Systems
Local Techniques in Bifurcation
Theory and Nonlinear Dynamics
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783211820629
ISBN-10: 3211820620
Series: CISM International Centre for Mechanical Sciences
Audience: General
Format: Paperback
Language: English
Number Of Pages: 193
Published: 1st June 1988
Country of Publication: AT
Dimensions (cm): 23.62 x 16.76  x 1.27
Weight (kg): 0.34