Chaotic scattering of waves from nonlinear scatterers

Autor:	Francis C. Moon, G. Raggio
Rok vydání:	1994
Předmět:	Scattering Mechanical Engineering Computational Mechanics Chaotic Plane wave Lyapunov exponent symbols.namesake Nonlinear system Wavelength Classical mechanics Chaotic scattering symbols Scattering theory Mathematics
Zdroj:	Acta Mechanica. 107:153-169
ISSN:	1619-6937 0001-5970
DOI:	10.1007/bf01201826
Popis:	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 Poincare maps, fractal dimensions and Lyapunov exponents.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::314a2ab06b35019647e24f7ed33671a3 https://doi.org/10.1007/bf01201826 Zobrazit plný text záznamu Full text from SpringerLink