A new Higher-Order Iterative Scheme for the Solutions of Non-linear Systems

2021 ◽  
pp. 419-444
Author(s):  
Ioannis K. Argyros
Keyword(s):  
Linear Systems ◽  
Iterative Scheme ◽  
Higher Order ◽  
Non Linear ◽  
Non Linear Systems

scholarly journals Parametric Excitation of a Nonlinear System

1965 ◽  
Vol 32 (4) ◽  
pp. 899-902 ◽  
Author(s):  
W. K. Tso ◽  
T. K. Caughey
Keyword(s):  
Nonlinear System ◽  
Linear Systems ◽  
Parametric Excitation ◽  
Higher Order ◽  
Non Linear ◽  
Non Linear Systems

A study has been made on the parametric excitation of a nonlinear system with hardening springs. In the parametric excitation of linear systems, the only subharmonic predicted is a subharmonic of order 1/2. However, in the parametric excitation of non-linear systems, it is shown that higher order subharmonics can exist, depending both on the amplitude and frequency of the parametric excitation.

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