Reduction of Dynamics with Lie Group Analysis
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author.
We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced systems which describe the long-time behavior of the original dynamical system.
Those methods can be used in analyzing not only ordinary differential equations but also difference equations.
Although this method has been mainly used in order to derive asymptotic behavior, when we can find exact Lie symmetries, we succeed in construction of exact solutions.
American Psychological Association (APA)
Iwasa, M.. 2012. Reduction of Dynamics with Lie Group Analysis. Advances in Mathematical Physics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-476955
Modern Language Association (MLA)
Iwasa, M.. Reduction of Dynamics with Lie Group Analysis. Advances in Mathematical Physics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-476955
American Medical Association (AMA)
Iwasa, M.. Reduction of Dynamics with Lie Group Analysis. Advances in Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-476955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476955