Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1706220 | Applied Mathematical Modelling | 2011 | 12 Pages |
Abstract
A n-coupled BVP oscillators system with delays is considered. By choosing the delays as the bifurcating parameters, some results of the Hopf bifurcations occurring at the zero equilibrium as the delays increase are exhibited. Using the symmetric functional differential equation theories of Wu [Jianhong Wu, Symmetric functional differential equations and neural networks with memory, Trans. Amer. Math. Soc. 350 (12) (1998) 4799–4838], the multiple Hopf bifurcations are obtained, and their spatio-temporal patterns: mirror-reflecting waves, standing waves, and discrete waves are demonstrated. Finally, computer simulations are performed to illustrate the analytical results found.
Related Topics
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Computational Mechanics
Authors
Yazhuo Zhang, Chunrui Zhang, Baodong Zheng,