Advances in Nonlinear Dynamics: Methods and Applications - Rilegato

Anil K. Bajaj, Steven W. Shaw

 
9780792336211: Advances in Nonlinear Dynamics: Methods and Applications

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The nine papers in this text cover a range of topics 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.

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Contenuti

Foreword. Editorial. The dynamics of resonant capture; D. Quinn, et al. Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations; R. Pandiyan, S.C. Sinha. Three-dimensional oscillations of suspended cables involving simultaneous internal resonance; C. Lee, N.C. Perkins. Analysis of one-to-one autoparametric resonances in cables - discretization vs. direct treatment; M. Pakdemirli, et al. Global bifurcations in externally excited two-degree-of-freedom nonlinear systems; N. Malhotra, N. Sri Namachchivaya. Chaos in a mapping describing elastoplastic oscillations; R. Pratap, P. Holmes. Fluid particle dynamics and Stokes drift in gravity and capillary waves generated by the Faraday instability; Z.C. Feng, S. Wiggins. One- and two-parameter bifurcations to divergence and flutter in the three-dimensional motions of a fluid conveying viscoelastic tube with D4 symmetry; A. Steindl, H. Troger. Dynamic buckling of shallow curved structures under stochastic loads; S.T. Ariaratnam, W.-C. Xie.

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Altre edizioni note dello stesso titolo

9789401041645: Advances in Nonlinear Dynamics: Methods and Applications: Methods and Applications

Edizione in evidenza

ISBN 10:  9401041644 ISBN 13:  9789401041645
Casa editrice: Springer, 2012
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