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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Chaotic Motions in Nonlinear Dynamical Systems

Chaotic Motions in Nonlinear Dynamical Systems

Szemplinska-Stupnicka, Wanda
Iooss, Gerard
Moon, Francis C.

Paperback

Series: CISM International Centre for Mechanical Sciences, Book 298

General MathematicsGeometryPhysics

ISBN10: 3211820620
ISBN13: 9783211820629
Publisher: Springer Nature
Published: Jun 7 1988
Pages: 193
Weight: 0.75
Height: 0.50 Width: 6.60 Depth: 9.30
Language: English
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 Poincaré 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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