Engineering Applications of Dynamics of Chaos

W. Szemplinska-Stupnicka, H. Troger (Herausgeber)

Buch | Softcover

V, 325 Seiten

1991 | 1991
Springer Wien (Verlag)
978-3-211-82328-6 (ISBN)

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The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this field cover not only theoretical foundations and algorithmic and computational aspects but also applications to engineering problems. In the first article an introduction into the basic concepts for the investigation of chaotic behavior of dynamical systems is given which is followed in the second article by an extensive treatment of approximative analytical methods to determine the critical parameter values describing the onset of chaos. The important relation between chaotic dynamics and the phenomenon of turbulence is treated in the third article by studying instabilities various fluid flows. In this contribution also an introduction into interesting phenomenon of pattern formation is given. The fourth and fifth articles present various applications to nonlinear oscillations including roll motions of ships, rattling oscillations in gear boxes, tumbling oscillations of satellites, flutter motions of fluid carrying pipes and vibrations of robot arms. In the final article a short treatment of hyperchaos is given.

Erscheint lt. Verlag	18.12.1991
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	V, 325 p. 68 illus., 1 illus. in color.
Verlagsort	Vienna
Sprache	englisch
Maße	170 x 244 mm
Gewicht	580 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
	Technik ► Maschinenbau
Schlagworte	algorithms • Appl.Mathematics/Computational Methods of Engineer • Chaos • Dynamical Systems • Dynamics • Engineering • flow • fluid- and aerodynamics • Mechanics • Oscillation • Theoretical and Applied Mechanics • Turbulence • Vibration
ISBN-10	3-211-82328-X / 321182328X
ISBN-13	978-3-211-82328-6 / 9783211823286
Zustand	Neuware