Consider the FitzHugh-Nagumo system u = u +u(1u)(u-a)-v; v =(u-bv) (i) The only traveling front wave...

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Consider the FitzHugh-Nagumo system u = u +u(1u)(u-a)-v; v =(u-bv) (i) The only traveling "front" wave u(x,t) = (x-ct) with (-) = 1 and o(+00) = 0 is given by | u(x,t) = [14 [1 + exp (0-0)] ()] Verify this assertion by deriving the ODE that has to satisfy and then use a numerical method to solve it. Consider the FitzHugh-Nagumo system u = u +u(1u)(u-a)-v; v =(u-bv) (i) The only traveling "front" wave u(x,t) = (x-ct) with (-) = 1 and o(+00) = 0 is given by | u(x,t) = [14 [1 + exp (0-0)] ()] Verify this assertion by deriving the ODE that has to satisfy and then use a numerical method to solve it.