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» Turing instabilities and patterns near a Hopf bifurcation
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AMC
2005
94views more  AMC 2005»
13 years 10 months ago
Turing instabilities and patterns near a Hopf bifurcation
We derive a necessary and sufficient condition for Turing instabilities to occur in two-component systems of reaction-diffusion equations with Neumann boundary conditions. We appl...
Rui Dilão
IJBC
2007
137views more  IJBC 2007»
13 years 10 months ago
Patterns of oscillation in a Ring of Identical Cells with Delayed Coupling
We investigate the behaviour of a neural network model consisting of three neurons with delayed self and nearest-neighbour connections. We give analytical results on the existence...
Sharene D. Bungay, Sue Ann Campbell
IJBC
2007
77views more  IJBC 2007»
13 years 10 months ago
Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems
Vanderbauwhede and van Gils, Krupa, and Langford studied unfoldings of bifurcations with purely imaginary eigenvalues and a nonsemisimple linearization, which generically occurs i...
M. Golubitsky, M. Krupa