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Advances in Nonlinear Dynamics: Methods & Applications

by Anil Bajaj

Synopses & Reviews

Publisher Comments:

The nine papers in Advances in Nonlinear Dynamics have been contributed by friends and colleagues of the late Professor Patarasp R. (Pat) Sethna. The topics covered range from specific problems - such as the dynamic buckling of shallow curved structures under stochastic loads, fluid particle motions in gravity and capillary waves generated by the Faraday instability, three-dimensional oscillations of suspended cables involving internal resonances, analysis of one-to-one autoparametric resonances in cables, chaos in elastoplastic oscillators, one- and two-parameter bifurcations to divergence and flutter in three-dimensional motions of a fluid conveying tube - to the more general, viz.: externally excited two-degree-of-freedom oscillators, time-periodic nonlinear systems undergoing bifurcations, and the dynamics of resonant capture. The analyses span the whole spectrum of applicable methods for nonlinear dynamics, including perturbation methods, local bifurcational analysis of differential equations and maps, equivariant bifurcation theory, global bifurcation analysis of maps, Melnikov's technique, and the use of the Liapunov-Floquet transformation. Audience: Researchers and advanced graduate students in applied mathematics, physical and mechanical science, and engineering.

Book News Annotation:

Nine papers discuss both theoretical and application aspects of applied nonlinear dynamical systems, reporting on recent research and its results in the physical and engineering sciences. Among the titles are the dynamics of resonant capture, global bifurcations in externally excited nonlinear systems with two degrees of freedom, and the dynamic buckling of shallow curved structures under stochastic loads. They are reprinted from Nonlinear Dynamics v.8 no.1 (1995). No index.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780792336211
Subtitle:
Methods and Applications
Other:
Bajaj, Anil
Editor:
Bajaj, Anil K.
Editor:
Shaw, Steven W.
Author:
Bajaj, Anil K.
Author:
Shaw, Steven W.
Author:
Bajaj, Anil
Publisher:
Kluwer Academic Publishers
Location:
Dordrecht ;
Subject:
Engineering - Mechanical
Subject:
Material Science
Subject:
Dynamics
Subject:
Nonlinear theories
Subject:
Mechanical
Copyright:
Edition Number:
1
Edition Description:
Reprinted from
Publication Date:
January 1996
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
200

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