N K M L T K$_{T}$ A Le %SIA µ κ σA σL σ % SIA 5 1 4 0 20 1 5.38 2 0.0013 1.25 1 8.063 1.848 0.0025 5 1 4 5 40 2 4.89 3 0.0016 1.25 0.5 5.045 3.012 0.0026 5 1 4 10 60 3 4.66 7 0.0028 1.25 0.33333 3.583 7.573 0.0029 5 1 4 15 80 4 4.39 22 0.0079 1.25 0.25 2.312 26.448 0.0080 N K M L T K$_{T}$ A Le %SIA µ κ σA σL σ % SIA 5 0.8 4 1 20 1 3.45 2 0.0007 1.25 0.8 4.155 1.508 0.0013 5 1.8 4 1 40 2 15.77 5 0.0071 1.25 0.9 20.528 3.792 0.0123 5 2.8 4 1 60 3 29.30 10 0.0231 1.25 0.933333 28.898 10.294 0.0338 5 3.8 4 1 80 4 34.36 14 0.0376 1.25 0.95 31.973 14.615 0.0432 N K M L T K$_{T}$ A Le %SIA µ κ σA σL σ % SIA 20 1 1 0 20 1 1.68 2 0.0003 20 1 1.667 1.997 0.0011 20 2 1 0 40 2 3.15 3 0.0010 20 1 3.371 2.762 0.0016 20 3 1 0 60 3 4.23 8 0.0026 20 1 3.563 9.586 0.0027 20 4 1 0 80 4 4.43 22 0.0081 20 1 2.407 23.662 0.0078 N K M L T K$_{T}$ A Le %SIA µ κ σA σL σ % SIA 1 0.5 20 0.5 20 1 31.67 2 0.0068 0.05 0.5 51.596 0.870 0.0122 1 1 20 1 40 2 197.17 3 0.0591 0.05 0.5 182.155 1.615 0.0600 1 1.5 20 1.5 60 3 119.84 4 0.0416 0.05 0.5 124.516 2.668 0.0446 1 2 20 2 80 4 59.44 5 0.0243 0.05 0.5 69.834 4.101 0.0281 N K M L T K$_{T}$ Δ H µ κ σ 5 0.8333 4 0.8333 20 1 -0.0402 1.25 0.8333 0.0293 5 1.6666 4 1.6666 40 2 -0.0067 1.25 0.8333 0.0798 5 2.5 4 2.5 60 3 0.0582 1.25 0.8333 0.1406 5 3.3333 4 3.3333 80 4 0.1799 1.25 0.8333 0.1936 Table A.6: Sensitivity to initial conditions for case 1: K = L , µ → 1. Table A.5: Statistical results for case 5: N = 1, L = K , M = 20. Table A.4: Statistical results for case 4: M = 1, N = 20, L = 0 , K = K$_{T}$ . Table A.3: Statistical results for case 3: L = 1, µ → 1. Table A.2: Statistical results for case 2: K = 1, µ → 1. 32