Chaotic Motions in Nonlinear Dynamical Systems

1988
ISBN: 978-3-211-82062-9
Verlag: Springer Vienna

Buch, Englisch, Band 298, 193 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 362 g

Reihe: CISM International Centre for Mechanical Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Szemplinska-Stupnicka, Wanda

Moon, Francis C.

Iooss, Gerard

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik

Inhaltsverzeichnis

Contents: Preface.- F.C. Moon: Experiments in Chaotic Dynamics.- W. Szemplinska-Stupnicka: Chaotic and Regular Motion in Nonlinear Vibrating Systems.- G. Iooss: Local Techniques in Bifurcation. Theory and Nonlinear Dynamics.