scholarly journals Multiscale Segmentation via Bregman Distances and Nonlinear Spectral Analysis

2017 ◽  
Vol 10 (1) ◽  
pp. 111-146 ◽  
Author(s):  
Leonie Zeune ◽  
Guus van Dalum ◽  
Leon W.M.M. Terstappen ◽  
Stephan A. van Gils ◽  
Christoph Brune
Keyword(s):  
Spectral Analysis ◽  
Bregman Distances ◽  
Multiscale Segmentation ◽  
Nonlinear Spectral Analysis

Spectral Analysis of Nonlinear Random Wave Loadings

2005 ◽  
Author(s):  
Rujian Ma ◽  
Guixi Li ◽  
Dong Zhao
Keyword(s):  
Spectral Analysis ◽  
Finite Amplitude ◽  
Wave Profile ◽  
Circular Cylinders ◽  
Random Wave ◽  
Wave Spectra ◽  
Random Waves ◽  
First Order ◽  
Nonlinear Random Wave ◽  
Nonlinear Spectral Analysis

The spectral analysis of nonlinear random wave loadings on circular cylinders is performed in this paper by means of nonlinear spectral analysis. The study is carried out by expressing the wave profile and velocities of water particles as a nonlinear composition of the first order wave profile. Under the assumption of the first order wave profile being a zero-mean Gaussian process, the random wave spectra of finite amplitude waves are given. In order to solve the loading spectra of the finite amplitude random waves, the drag force is extended into power series of velocity. The loadings of the finite amplitude random waves are then expressed as nonlinear compositions of the first order wave profile and its derivatives. These techniques made it easier to compute the spectral densities of the finite amplitude random wave loadings.

scholarly journals Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
Stéphane Randoux ◽  
Pierre Suret ◽  
Amin Chabchoub ◽  
Bertrand Kibler ◽  
Gennady El
Keyword(s):  
Spectral Analysis ◽  
Hydrodynamic Experiments ◽  
Nonlinear Spectral Analysis
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