Periodic solutions of nonlinear ordinary differential equations computed by a boundary shape function method and a generalized derivative-free Newton method

In the paper, the period of an n-dimensional nonlinear dynamical system is computed by a formula derived in an (n+1)-dimensional augmented state space. The periodic conditions and nonlinear first-order ordinary differential equations constitute a specific periodic boundary value problem within a tim...

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Bibliographic Details

Published in:	Mechanical systems and signal processing Vol. 184; p. 109712
Main Authors:	Liu, Chein-Shan, Chang, Chih-Wen
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.02.2023
Subjects:	Boundary shape function method Generalized derivative-free Newton method Iterative algorithm Nonlinear dynamical system Periodic solution Boundary shape function method Iterative algorithm Nonlinear dynamical system Periodic solution Generalized derivative-free Newton method
ISSN:	0888-3270, 1096-1216
Online Access:	Get full text
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