Geodesic
A Hopf Bifurcation in a Radially Symmetric Interfacial Problem with Global Coupling
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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We consider an interfacial problem arising in reaction-diffusion models in an inhomogeneous media with global coupling. The purpose of this paper is to analyze the occurrence of Hopf bifurcation in the interfacial problem as the bifurcation parameters vary and to examine the effects of an inhomogeneous media and with the global coupling intensity in two- and three- dimensional system. Conditions for existence of stationary solutions and Hopf bifurcation for a certain class of inhomogeneity and global coupling are obtained analytically in two- and three- dimensional system with radial symmetry.
Classification : Primary: 35K57, 35R35, 35B32; Secondary: 35K35, 35K60, 37G15, 35R05, 58J55. 
@article{BMMS_2012_35_4_a7,
     author = {YoonMee Ham},
     title = {A {Hopf} {Bifurcation} in a {Radially} {Symmetric} {Interfacial} {Problem} with {Global} {Coupling}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2012},
     volume = {35},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a7/}
}
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YoonMee Ham. A Hopf Bifurcation in a Radially Symmetric Interfacial Problem with Global Coupling. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2012_35_4_a7/