Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Lie group analysis has been applied to singular perturbation problems in both ordinary differential and difference equations and has allowed us to find the reduced dynamics describing the asymptotic behavior of the dynamical system.
The present study provides an extended method that is also applicable to partial differential equations.
The main characteristic of the extended method is the restriction of the manifold by some constraint equations on which we search for a Lie symmetry group.
This extension makes it possible to find a partial Lie symmetry group, which leads to a reduced dynamics describing the asymptotic behavior.
American Psychological Association (APA)
Iwasa, M.. 2015. Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067106
Modern Language Association (MLA)
Iwasa, M.. Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups. Journal of Applied Mathematics No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1067106
American Medical Association (AMA)
Iwasa, M.. Derivation of Asymptotic Dynamical Systems with Partial Lie Symmetry Groups. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067106
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067106