Nonlinear systems of parabolic IBVP: A stable super-supraconvergent fully discrete piecewise linear FEM

2022 ◽  
Vol 419 ◽  
pp. 126857
Author(s):  
S. Carvalho ◽  
J.A. Ferreira ◽  
G. Pena
Keyword(s):  
Nonlinear Systems ◽  
Piecewise Linear ◽  
Fully Discrete

Identification of nonlinear systems using a piecewise-linear Hammerstein model

2005 ◽  
Vol 54 (2) ◽  
pp. 145-158 ◽  
Author(s):  
Gregor Dolanc ◽  
Stanko Strmčnik
Keyword(s):  
Nonlinear Systems ◽  
Piecewise Linear ◽  
Hammerstein Model

Numerical Integration Method to Determine Periodic Solutions of Nonlinear Systems

2005 ◽  
Author(s):  
Takao Torii ◽  
Nobuyoshi Morita ◽  
Kimihiko Yasuda
Keyword(s):  
Nonlinear Systems ◽  
Numerical Integration ◽  
Integration Method ◽  
Piecewise Linear ◽  
Special Treatment ◽  
Numerical Integration Method ◽  
Impact Damper ◽  
Coulomb’S Friction ◽  
Linear Spring ◽  
Spring System

A new method to obtain periodic solution of nonlinear systems is proposed by combining secant method with numerical integration. This method can be applied to nonlinear systems with discontinuous characteristics without special treatment. To check the validity of the proposed method, we applied this method to nonlinear systems with discontinuous characteristics, such as piecewise linear spring system, system with Coulomb’s friction and impact damper system. Comparing the results by the proposed method with the results by simple numerical integration or experimental results, the validity of the proposed method is confirmed.

Piecewise-linear restoring force surfaces for semi-nonparametric identification of nonlinear systems

2007 ◽  
Vol 54 (1-2) ◽  
pp. 123-135 ◽  
Author(s):  
Matthew S. Allen ◽  
Hartono Sumali ◽  
David S. Epp
Keyword(s):  
Nonlinear Systems ◽  
Piecewise Linear ◽  
Nonparametric Identification ◽  
Restoring Force
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