Abstract
Steady states of a reaction-diffusion system operating on a family of off-centre annular domains with a Neumann boundary condition are studied analytically and numerically. Off-centre displacement of the inner boundary induces a simple bifurcation of a uniform steady state to a bipolar steady state. A first-order estimate of the latter state is related to properties of the wavenumbers of the domains. The complete bifurcation diagram is discussed in relation to a model of development of the zigzag hair fibre in mice and rats.
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