Advances in Nonlinear Dynamics: Methods and Applications: Methods and Applications [Hardcover] Bajaj, Anil K. and Shaw, Steven W.

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ISBN 10: 0792336216 / ISBN 13: 9780792336211

Published by Springer, 1995

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Bibliographic Details

• Title: Advances in Nonlinear Dynamics: Methods and Applications: Methods and Applications [Hardcover] Bajaj, Anil K. and Shaw, Steven W.
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 0792336216
• ISBN 13: 9780792336211
• Binding: Hardcover
• Condition: Brand New

About this title

Synopsis

This is the second and final issue of the collection of papers that were contributed by friends and colleagues of (Late) Professor P. R. "Pat" Sethna of the University of Minnesota to commemorate his 70th birthday on May 26, 1993. The first set of contributions was published in Nonlinear Dynamics as the last issue (no. 6) of Vol. 4 in 1993. As circumstances would have it, Professor Sethna was diagnosed with cancer in the fall of 1992 and, after an extended battle with the disease, he passed away on November 4, 1993, just a few days before the first set of contributed papers appeared in print. It is gratifying to report that the organizers of these vi Foreword commemorative issues in Nonlinear Dynamics were able to present to Professor Sethna, on the occasion of his 70th birthday, complete details of the planned commemorative issues. This second set of contributions is dedicated, in memoriam, to Professor P. R. Sethna. As many of you are well aware, Professor Sethna was an active researcher in the field of nonlinear vibrations and dynamics for nearly forty years, making many fundamental and significant contributions to both the theoretical and applied aspects of this field. He was also recognized for his outstanding leadership and administrative abilities, amply demonstrated through his position as the Head of the Department of Aerospace Engineering and Mechanics at the University of Minnesota for twenty-six years (1966-1992).

Synopsis

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, like: 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.

It is for audience: Researchers and advanced graduate students in applied mathematics, physical and mechanical science, and engineering.