Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain (0,lπ) with l>0 is considered.
According to the normal form method and the center manifold theorem for reaction-diffusion equations, the explicit formulas determining the properties of Hopf bifurcation of spatially homogeneous and nonhomogeneous periodic solutions of system near the constant steady state (0,0) are obtained.
American Psychological Association (APA)
Zhang, Cun-Hua& Yan, Xiang-Ping. 2015. Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067112
Modern Language Association (MLA)
Zhang, Cun-Hua& Yan, Xiang-Ping. Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition. Journal of Applied Mathematics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1067112
American Medical Association (AMA)
Zhang, Cun-Hua& Yan, Xiang-Ping. Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1067112
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1067112