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Chaotic Motions in Nonlinear Dynamical Systems 1988 Edition
Contributor(s): Szemplinska-Stupnicka, Wanda (Author), Iooss, Gerard (Author), Moon, Francis C. (Author)
ISBN: 3211820620     ISBN-13: 9783211820629
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback - Other Formats
Published: June 1988
Qty:
Additional Information
BISAC Categories:
- Mathematics | Applied
- Mathematics | Geometry - General
- Science | Physics - Mathematical & Computational
Dewey: 531.11
Series: CISM International Centre for Mechanical Sciences
Physical Information: 0.5" H x 6.6" W x 9.3" (0.75 lbs) 193 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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 Poincar 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.