Multiple Nonlinear Oscillations in a ?3×?3-Symmetrical Coupled System of Identical Cells with Delays
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A coupled system of nine identical cells with delays and ?3×?3-symmetry is considered.
The individual cells are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback.
By analyzing the corresponding characteristic equations, the linear stability of the equilibrium is given.
We also investigate the simultaneous occurrence of multiple periodic solutions and spatiotemporal patterns of the bifurcating periodic oscillations by using the equivariant bifurcation theory of delay differential equations combined with representation theory of Lie groups.
Numerical simulations are carried out to illustrate our theoretical results.
American Psychological Association (APA)
Hu, Haijun& Liu, Li& Mao, Jie. 2013. Multiple Nonlinear Oscillations in a ?3×?3-Symmetrical Coupled System of Identical Cells with Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-470566
Modern Language Association (MLA)
Hu, Haijun…[et al.]. Multiple Nonlinear Oscillations in a ?3×?3-Symmetrical Coupled System of Identical Cells with Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-470566
American Medical Association (AMA)
Hu, Haijun& Liu, Li& Mao, Jie. Multiple Nonlinear Oscillations in a ?3×?3-Symmetrical Coupled System of Identical Cells with Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-470566
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470566