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Unstable periodic wave solutions of nerve axion diffusion equations - MaRDI portal

Unstable periodic wave solutions of nerve axion diffusion equations (Q1098009)

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scientific article; zbMATH DE number 4036296
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Unstable periodic wave solutions of nerve axion diffusion equations
scientific article; zbMATH DE number 4036296

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    Unstable periodic wave solutions of nerve axion diffusion equations (English)
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    1987
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    Under suitable assumptions, the existence of periodic travelling wave solutions for the nerve axion diffusion equations is known. In this paper the author analyses their instability. The proof goes by linearizing the diffusion equations and showing that under some circumstances one of the eigenvalue of a relevant matrix has an eigenvalue of modulus one.
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    existence
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    periodic travelling wave solutions
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    nerve axion diffusion
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    instability
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    linearizing
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