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On Order$150.50
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Advances in Nonlinear Dynamics: Methods & Applicationsby Anil Bajaj
Synopses & ReviewsPublisher 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) What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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