Chaotic scattering of waves from nonlinear scatterers |
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| Authors: | Prof. F. C. Moon G. Raggio |
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| Affiliation: | (1) Present address: Sibley School of Mechanical and Aerospace Engineering, Cornell University, 14853 Ithaca, NY, USA;(2) Present address: Simultec Ltd., 160 Lincoln Road, 01773 Lincoln, MA, USA |
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| Abstract: | Summary Two examples of the effect of nonlinearities on the scattering of nondispersive waves are presented. It is shown that nonlinear boundary conditions can lead to broadband, chaotic scattered waves when the scatterer is excited by a single wavelength plane wave. One of the examples treats a spherical scatterer in a linear elastic medium. A number of modern techniques in nonlinear analysis is used to diagnose the chaotic dynamics including Poincaré maps, fractal dimensions and Lyapunov exponents. |
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