Application of the Hori Method in the Theory of Nonlinear Oscillations
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-32, 32 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-24
Country of Publication
Egypt
No. of Pages
32
Main Subjects
Abstract EN
Some remarks on the application of the Hori method in the theory of nonlinear oscillations are presented.
Two simplified algorithms for determining the generating function and the new system of differential equations are derived from a general algorithm proposed by Sessin.
The vector functions which define the generating function and the new system of differential equations are not uniquely determined, since the algorithms involve arbitrary functions of the constants of integration of the general solution of the new undisturbed system.
Different choices of these arbitrary functions can be made in order to simplify the new system of differential equations and define appropriate near-identity transformations.
These simplified algorithms are applied in determining second-order asymptotic solutions of two well-known equations in the theory of nonlinear oscillations: van der Pol equation and Duffing equation.
American Psychological Association (APA)
da Silva Fernandes, Sandro. 2012. Application of the Hori Method in the Theory of Nonlinear Oscillations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-1001425
Modern Language Association (MLA)
da Silva Fernandes, Sandro. Application of the Hori Method in the Theory of Nonlinear Oscillations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-32.
https://search.emarefa.net/detail/BIM-1001425
American Medical Association (AMA)
da Silva Fernandes, Sandro. Application of the Hori Method in the Theory of Nonlinear Oscillations. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-32.
https://search.emarefa.net/detail/BIM-1001425
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001425