Exponential stability of traveling pulse solutions of a singularly perturbed system of integral differential equations arising from excitatory neuronal networks (Q705082)

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scientific article; zbMATH DE number 2130959
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Exponential stability of traveling pulse solutions of a singularly perturbed system of integral differential equations arising from excitatory neuronal networks
scientific article; zbMATH DE number 2130959

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    Exponential stability of traveling pulse solutions of a singularly perturbed system of integral differential equations arising from excitatory neuronal networks (English)
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    25 January 2005
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    The author establishes the exponential stability of fast traveling pulse solutions to nonlinear singularly perturbed systems of integral differential equations arising from neuronal networks. It has been proved that exponential stability of these orbits is equivalent to linear stability.
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    integral differential equations
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    eigenvalue problems
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    eigenvalue functions
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