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Showing 1 to 4 of 4 for “"Carleman embedding"”.
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Qualitative Models of Neural Activity and the Carleman Embedding Technique.
… visualized. In this thesis, it is shown that the Carleman Embedding Technique can be applied to both the Fitzhugh Nagumo model and to Van der Pol's model of nonlinear oscillation, which are both finite nonlinear systems of differential equations. The Carleman technique can thus be used to obtain …
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A Variation of the Carleman Embedding Method for Second Order Systems.
<p>The Carleman Embedding is a method that allows us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for …
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Solving the Differential Equation for the Probit Function Using a Variant of the Carleman Embedding Technique.
… of great utility in statistical modelling. The Carleman embedding technique has been shown to be effective in solving first order and, less efficiently, second order nonlinear differential equations. In this thesis, we show that solutions to the second order nonlinear differential equation for …
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Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
… We then use the Green's Function to develop a Carleman linear embedding scheme which is used to estimate the effects of a nonlinear ion channel hot-spot on the tapered cylinder solution. Mathematica<sup>©</sup> was used to implement the Carleman embedding scheme.</p>