عنوان

Advances in Nonlinear Dynamics:

9401103674

9789401103671

b594651

Advances in Nonlinear Dynamics:

[Book]

Methods and Applications

edited by Anil K. Bajaj, Steven W. Shaw.

Dordrecht

Springer Netherlands

1995

(xiii, 195 pages)

The Dynamics of Resonant Capture --; Analysis of Time-Periodic Nonlinear Dynamical Systems Undergoing Bifurcations --; Three-Dimensional Oscillations of Suspended Cables Involving Simultaneous Internal Resonances --; Analysis of One-to-One Autoparametric Resonances in Cables --; Discretization vs. Direct Treatment --; Global Bifurcations in Externally Exited Two-Degree-of-Freedom Nonlinear Systems --; Chaos in a Mapping Describing Elastoplastic Oscillations --; Fluid Particle Dynamics and Stokes Drift in Gravity and Capillary Waves Generated by the Faraday Instability --; One and Two-Parameter Bifurcations to Divergence and Flutter in the Three-Dimensional Motions of a Fluid Conveying Viscoelastic Tube with D4-Symmetry --; Dynamic Buckling of Shallow Curved Structures under Stochastic Loads.

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.

Engineering.

Vibration.

edited by Anil K. Bajaj, Steven W. Shaw.

Anil K Bajaj

Steven W Shaw

[Book]

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