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» Turing instabilities and patterns near a Hopf bifurcation
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AMC
2005
94views more  AMC 2005»
13 years 7 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 7 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 7 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