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Lyapunov functionals and stability for FitzHugh-Nagumo systems - MaRDI portal

Lyapunov functionals and stability for FitzHugh-Nagumo systems (Q5929074)

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scientific article; zbMATH DE number 1588084
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Lyapunov functionals and stability for FitzHugh-Nagumo systems
scientific article; zbMATH DE number 1588084

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    Lyapunov functionals and stability for FitzHugh-Nagumo systems (English)
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    17 April 2001
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    The authors present a certain Lyapunov functional for the FitzHugh-Nagumo equations. They draw some immediate consequences for the structure of the attractor. Some limiting cases (when one diffusion parameter is \(0\) or is tending to \(+\infty\)) are also investigated. In these cases, a complete description of the type of stationary solutions that may be stable is given.
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    structure of the attractor
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