LNM Shooting NNMmotion at low energy z p0,(1) , T(1) (j =1) Predictor step Computation of the tangent and control of the stepsize z (0) p0,(j+1) ,T (0) (j+1) (k =0) Corrector step(Shooting) Residual evaluation Time integration: H=H(z (k) p0,(j+1) ) Cvg ? ||H|| <ǫ||z (k) p0,(j+1) || Computation of the corrections: z (k+1) p0,(j+1) =z (k) p0,(j+1) +∆z (k) p0,(j+1) T (k+1) (j+1) =T (k) (j+1) +∆T (k) (j+1) k =k+1 NO YES T(j+1) =T (k) (j+1) z p0,(j+1) =z (k) p0,(j+1) j =j +1 Next NNM motion on the branch: Figure 1: Algorithm for NNM computation. 227
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