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• W2923565535 abstract "We consider the implicit discretization of Nagumo equation on finite lattices and show that its variational formulation corresponds in various parameter settings to convex, mountain-pass or saddle-point geometries. Consequently, we are able to derive conditions under which the implicit discretization yields multiple solutions. Interestingly, for certain parameters we show nonuniqueness for arbitrarily small discretization steps. Finally, we provide a simple example showing that the nonuniqueness can lead to complex dynamics in which the number of bounded solutions grows exponentially in time iterations, which in turn implies infinite number of global trajectories." @default.
• W2923565535 created "2019-04-01" @default.
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• W2923565535 date "2019-03-20" @default.
• W2923565535 modified "2023-10-14" @default.
• W2923565535 title "Nonuniqueness of implicit lattice Nagumo equation" @default.
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• W2923565535 doi "https://doi.org/10.21136/am.2019.0270-18" @default.
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