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The Journal of Mathematical Neuroscience
Fig. 5 | The Journal of Mathematical Neuroscience

Fig. 5

From: The Dynamics of Neural Fields on Bounded Domains: An Interface Approach for Dirichlet Boundary Conditions

Fig. 5

Spot radius R as a function of κ for a smooth Mexican hat connectivity given by (12), with parameters as in Fig. 4. (A): Infinite domain. (B): Finite domain that is a disc of radius \(D =5 \pi\), with Dirichlet boundary condition \(q(D)=u_{\text{BC}}=0\). Linear stability analysis shows that solid (dashed) lines are stable (unstable). Azimuthal instabilities with various modes are indicated by the mode shapes

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