Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition
Keyword(s):
A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain(0,lπ)withl>0is 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.
2019 ◽
Vol 29
(09)
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pp. 1930025
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1999 ◽
Vol 129
(5)
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pp. 1033-1079
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2015 ◽
Vol 25
(06)
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pp. 1550082
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Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition
2008 ◽
Vol 347
(1)
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pp. 123-135
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2012 ◽
Vol 29
(3)
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pp. 778-798
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