Advanced Data Assimilation in Strongly Nonlinear Dynamical Systems

1994 ◽  
Vol 51 (8) ◽  
pp. 1037-1056 ◽  
Author(s):  
Robert N. Miller ◽  
Michael Ghil ◽  
François Gauthiez
Keyword(s):  
Dynamical Systems ◽  
Data Assimilation ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Strongly Nonlinear

scholarly journals Homotopy Analysis Method for the Rayleigh Equation Governing the Radial Dynamics of a Multielectron Bubble

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
F. A. Godínez ◽  
M. A. Escobedo ◽  
M. Navarrete
Keyword(s):  
Dynamical Systems ◽  
Liquid Helium ◽  
Analytical Solutions ◽  
Homotopy Analysis Method ◽  
Nonlinear Dynamical Systems ◽  
Rayleigh Equation ◽  
Analysis Method ◽  
Nonlinear Dynamical ◽  
Strongly Nonlinear ◽  
Homotopy Analysis

The homotopy analysis method is used to obtain analytical solutions of the Rayleigh equation for the radial oscillations of a multielectron bubble in liquid helium. The small order approximations for amplitude and frequency fit well with those computed numerically. The results confirm that the homotopy analysis method is a powerful and manageable tool for finding analytical solutions of strongly nonlinear dynamical systems.

Bayesian parameter estimation and model selection for strongly nonlinear dynamical systems

2015 ◽  
Vol 82 (3) ◽  
pp. 1061-1080 ◽  
Author(s):  
Philippe Bisaillon ◽  
Rimple Sandhu ◽  
Mohammad Khalil ◽  
Chris Pettit ◽  
Dominique Poirel ◽  
...  
Keyword(s):  
Parameter Estimation ◽  
Dynamical Systems ◽  
Model Selection ◽  
Nonlinear Dynamical Systems ◽  
Bayesian Parameter Estimation ◽  
Nonlinear Dynamical ◽  
Strongly Nonlinear ◽  
Selection For
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