# Fig. S7: Effect of initial and boundary conditions on yo-yoing dynamics # Right panel: mono-directional Kolmogorov flow (periodic BCs, L=4*delta0) # Re=2.5, De=0.5, beta=0.2; delta0=1/4 # Two sinusoidal ICs: IC on k0=2*pi/L (gravest mode) and k1=4*pi/L # Left panel: free-slip sinusoidal setup (L=2*delta0) # Re=10, De=2, beta=0.5; delta0=1/2 # Two sinusoidal ICs: IC on k_tilde_0 (gravest mode) and k_tilde_1 # All columns store signed _c/_c; reconstruct |...| by abs value. # Solid line = positive branch, dashed line = negative branch in figure. # Columns: # t_over_delta_kol_k0 : tU0/delta0, Kolmogorov IC on k0 [darkorange] # omega_ratio_kol_k0 : _c/_c, Kolmogorov IC on k0 # t_over_delta_kol_k1 : tU0/delta0, Kolmogorov IC on k1 [gold] # omega_ratio_kol_k1 : _c/_c, Kolmogorov IC on k1 # t_over_delta_sin_k0 : tU0/delta0, sinusoidal IC on k_tilde_0 [darkturquoise] # omega_ratio_sin_k0 : _c/_c, sinusoidal IC on k_tilde_0 # t_over_delta_sin_k1 : tU0/delta0, sinusoidal IC on k_tilde_1 [springgreen] # omega_ratio_sin_k1 : _c/_c, sinusoidal IC on k_tilde_1 # delta0_kol = 0.25, delta0_sin = 0.5, U0 = 1 # Rows beyond a series length are filled with NaN. # # t_over_delta_kol_k0 omega_ratio_kol_k0 t_over_delta_kol_k1 omega_ratio_kol_k1 t_over_delta_sin_k0 omega_ratio_sin_k0 t_over_delta_sin_k1 omega_ratio_sin_k1 4.000000e-04 1.000000e+00 4.000000e-04 1.000000e+00 2.000000e-04 1.000000e+00 2.000000e-04 1.000000e+00 2.000000e-03 9.983839e-01 2.000000e-03 9.935517e-01 1.000000e-03 9.998026e-01 1.000000e-03 9.982246e-01 3.600000e-03 9.967204e-01 3.600000e-03 9.869463e-01 1.800000e-03 9.996049e-01 1.800000e-03 9.964518e-01 5.200000e-03 9.950101e-01 5.200000e-03 9.801869e-01 2.600000e-03 9.994076e-01 2.600000e-03 9.946814e-01 6.800000e-03 9.932536e-01 6.800000e-03 9.732783e-01 3.400000e-03 9.992099e-01 3.400000e-03 9.929134e-01 8.400000e-03 9.914513e-01 8.400000e-03 9.662238e-01 4.200000e-03 9.990125e-01 4.200000e-03 9.911479e-01 1.000000e-02 9.896039e-01 1.000000e-02 9.590265e-01 5.000000e-03 9.988148e-01 5.000000e-03 9.893848e-01 1.160000e-02 9.877120e-01 1.160000e-02 9.516920e-01 5.800000e-03 9.986171e-01 5.800000e-03 9.876241e-01 1.320000e-02 9.857760e-01 1.320000e-02 9.442227e-01 6.600000e-03 9.984194e-01 6.600000e-03 9.858659e-01 1.480000e-02 9.837966e-01 1.480000e-02 9.366234e-01 7.400000e-03 9.982218e-01 7.400000e-03 9.841101e-01 1.640000e-02 9.817741e-01 1.640000e-02 9.288973e-01 8.200000e-03 9.980237e-01 8.200000e-03 9.823566e-01 1.800000e-02 9.797093e-01 1.800000e-02 9.210475e-01 9.000000e-03 9.978261e-01 9.000000e-03 9.806057e-01 1.960000e-02 9.776024e-01 1.960000e-02 9.130789e-01 9.800000e-03 9.976280e-01 9.800000e-03 9.788570e-01 2.120000e-02 9.754543e-01 2.120000e-02 9.049946e-01 1.060000e-02 9.974304e-01 1.060000e-02 9.771109e-01 2.280000e-02 9.732654e-01 2.280000e-02 8.967978e-01 1.140000e-02 9.972323e-01 1.140000e-02 9.753672e-01 2.440000e-02 9.710361e-01 2.440000e-02 8.884933e-01 1.220000e-02 9.970343e-01 1.220000e-02 9.736258e-01 2.600000e-02 9.687671e-01 2.600000e-02 8.800844e-01 1.300000e-02 9.968363e-01 1.300000e-02 9.718869e-01 2.760000e-02 9.664588e-01 2.760000e-02 8.715733e-01 1.380000e-02 9.966383e-01 1.380000e-02 9.701502e-01 2.920000e-02 9.641118e-01 2.920000e-02 8.629658e-01 1.460000e-02 9.964400e-01 1.460000e-02 9.684162e-01 3.080000e-02 9.617265e-01 3.080000e-02 8.542633e-01 1.540000e-02 9.962420e-01 1.540000e-02 9.666844e-01 3.240000e-02 9.593036e-01 3.240000e-02 8.454715e-01 1.620000e-02 9.960440e-01 1.620000e-02 9.649551e-01 3.400000e-02 9.568433e-01 3.400000e-02 8.365919e-01 1.700000e-02 9.958457e-01 1.700000e-02 9.632280e-01 3.560000e-02 9.543464e-01 3.560000e-02 8.276286e-01 1.780000e-02 9.956473e-01 1.780000e-02 9.615034e-01 3.720000e-02 9.518134e-01 3.720000e-02 8.185855e-01 1.860000e-02 9.954490e-01 1.860000e-02 9.597813e-01 3.880000e-02 9.492447e-01 3.880000e-02 8.094658e-01 1.940000e-02 9.952507e-01 1.940000e-02 9.580615e-01 4.040000e-02 9.466409e-01 4.040000e-02 8.002728e-01 2.020000e-02 9.950524e-01 2.020000e-02 9.563441e-01 4.200000e-02 9.440023e-01 4.200000e-02 7.910100e-01 2.100000e-02 9.948540e-01 2.100000e-02 9.546290e-01 4.360000e-02 9.413296e-01 4.360000e-02 7.816804e-01 2.180000e-02 9.946554e-01 2.180000e-02 9.529163e-01 4.520000e-02 9.386231e-01 4.520000e-02 7.722874e-01 2.260000e-02 9.944571e-01 2.260000e-02 9.512060e-01 4.680000e-02 9.358836e-01 4.680000e-02 7.628344e-01 2.340000e-02 9.942584e-01 2.340000e-02 9.494980e-01 4.840000e-02 9.331112e-01 4.840000e-02 7.533245e-01 2.420000e-02 9.940598e-01 2.420000e-02 9.477924e-01 5.000000e-02 9.303067e-01 5.000000e-02 7.437609e-01 2.500000e-02 9.938614e-01 2.500000e-02 9.460893e-01 5.160000e-02 9.274704e-01 5.160000e-02 7.341468e-01 2.580000e-02 9.936628e-01 2.580000e-02 9.443884e-01 5.320000e-02 9.246028e-01 5.320000e-02 7.244852e-01 2.660000e-02 9.934638e-01 2.660000e-02 9.426899e-01 5.480000e-02 9.217045e-01 5.480000e-02 7.147794e-01 2.740000e-02 9.932652e-01 2.740000e-02 9.409937e-01 5.640000e-02 9.187759e-01 5.640000e-02 7.050324e-01 2.820000e-02 9.930665e-01 2.820000e-02 9.392999e-01 5.800000e-02 9.158175e-01 5.800000e-02 6.952471e-01 2.900000e-02 9.928676e-01 2.900000e-02 9.376086e-01 5.960000e-02 9.128297e-01 5.960000e-02 6.854266e-01 2.980000e-02 9.926689e-01 2.980000e-02 9.359194e-01 6.120000e-02 9.098130e-01 6.120000e-02 6.755740e-01 3.060000e-02 9.924700e-01 3.060000e-02 9.342326e-01 6.280000e-02 9.067679e-01 6.280000e-02 6.656920e-01 3.140000e-02 9.922710e-01 3.140000e-02 9.325483e-01 6.440000e-02 9.036949e-01 6.440000e-02 6.557836e-01 3.220000e-02 9.920721e-01 3.220000e-02 9.308662e-01 6.600000e-02 9.005943e-01 6.600000e-02 6.458516e-01 3.300000e-02 9.918731e-01 3.300000e-02 9.291865e-01 6.760000e-02 8.974666e-01 6.760000e-02 6.358987e-01 3.380000e-02 9.916741e-01 3.380000e-02 9.275090e-01 6.920000e-02 8.943124e-01 6.920000e-02 6.259281e-01 3.460000e-02 9.914752e-01 3.460000e-02 9.258339e-01 7.080000e-02 8.911320e-01 7.080000e-02 6.159422e-01 3.540000e-02 9.912759e-01 3.540000e-02 9.241612e-01 7.240000e-02 8.879260e-01 7.240000e-02 6.059439e-01 3.620000e-02 9.910769e-01 3.620000e-02 9.224908e-01 7.400000e-02 8.846947e-01 7.400000e-02 5.959357e-01 3.700000e-02 9.908776e-01 3.700000e-02 9.208227e-01 7.560000e-02 8.814387e-01 7.560000e-02 5.859204e-01 3.780000e-02 9.906784e-01 3.780000e-02 9.191569e-01 7.720000e-02 8.781581e-01 7.720000e-02 5.759006e-01 3.860000e-02 9.904791e-01 3.860000e-02 9.174935e-01 7.880000e-02 8.748537e-01 7.880000e-02 5.658788e-01 3.940000e-02 9.902798e-01 3.940000e-02 9.158323e-01 8.040000e-02 8.715259e-01 8.040000e-02 5.558576e-01 4.020000e-02 9.900805e-01 4.020000e-02 9.141734e-01 8.200000e-02 8.681750e-01 8.200000e-02 5.458395e-01 4.100000e-02 9.898812e-01 4.100000e-02 9.125169e-01 8.360000e-02 8.648014e-01 8.360000e-02 5.358270e-01 4.180000e-02 9.896820e-01 4.180000e-02 9.108627e-01 8.520000e-02 8.614058e-01 8.520000e-02 5.258224e-01 4.260000e-02 9.894824e-01 4.260000e-02 9.092107e-01 8.680000e-02 8.579883e-01 8.680000e-02 5.158282e-01 4.340000e-02 9.892831e-01 4.340000e-02 9.075612e-01 8.840000e-02 8.545494e-01 8.840000e-02 5.058467e-01 4.420000e-02 9.890835e-01 4.420000e-02 9.059138e-01 9.000000e-02 8.510896e-01 9.000000e-02 4.958803e-01 4.500000e-02 9.888839e-01 4.500000e-02 9.042688e-01 9.160000e-02 8.476094e-01 9.160000e-02 4.859313e-01 4.580000e-02 9.886843e-01 4.580000e-02 9.026261e-01 9.320000e-02 8.441091e-01 9.320000e-02 4.760019e-01 4.660000e-02 9.884847e-01 4.660000e-02 9.009856e-01 9.480000e-02 8.405889e-01 9.480000e-02 4.660942e-01 4.740000e-02 9.882851e-01 4.740000e-02 8.993474e-01 9.640000e-02 8.370495e-01 9.640000e-02 4.562106e-01 4.820000e-02 9.880855e-01 4.820000e-02 8.977116e-01 9.800000e-02 8.334914e-01 9.800000e-02 4.463531e-01 4.900000e-02 9.878856e-01 4.900000e-02 8.960780e-01 9.960000e-02 8.299147e-01 9.960000e-02 4.365237e-01 4.980000e-02 9.876860e-01 4.980000e-02 8.944467e-01 1.012000e-01 8.263200e-01 1.012000e-01 4.267246e-01 5.060000e-02 9.874860e-01 5.060000e-02 8.928176e-01 1.028000e-01 8.227076e-01 1.028000e-01 4.169579e-01 5.140000e-02 9.872861e-01 5.140000e-02 8.911908e-01 1.044000e-01 8.190780e-01 1.044000e-01 4.072254e-01 5.220000e-02 9.870862e-01 5.220000e-02 8.895664e-01 1.060000e-01 8.154313e-01 1.060000e-01 3.975292e-01 5.300000e-02 9.868863e-01 5.300000e-02 8.879441e-01 1.076000e-01 8.117683e-01 1.076000e-01 3.878712e-01 5.380000e-02 9.866864e-01 5.380000e-02 8.863243e-01 1.092000e-01 8.080891e-01 1.092000e-01 3.782531e-01 5.460000e-02 9.864865e-01 5.460000e-02 8.847066e-01 1.108000e-01 8.043944e-01 1.108000e-01 3.686770e-01 5.540000e-02 9.862865e-01 5.540000e-02 8.830912e-01 1.124000e-01 8.006840e-01 1.124000e-01 3.591445e-01 5.620000e-02 9.860863e-01 5.620000e-02 8.814779e-01 1.140000e-01 7.969590e-01 1.140000e-01 3.496575e-01 5.700000e-02 9.858864e-01 5.700000e-02 8.798671e-01 1.156000e-01 7.932192e-01 1.156000e-01 3.402177e-01 5.780000e-02 9.856861e-01 5.780000e-02 8.782583e-01 1.172000e-01 7.894653e-01 1.172000e-01 3.308268e-01 5.860000e-02 9.854859e-01 5.860000e-02 8.766519e-01 1.188000e-01 7.856976e-01 1.188000e-01 3.214864e-01 5.940000e-02 9.852857e-01 5.940000e-02 8.750479e-01 1.204000e-01 7.819164e-01 1.204000e-01 3.121982e-01 6.020000e-02 9.850854e-01 6.020000e-02 8.734459e-01 1.220000e-01 7.781219e-01 1.220000e-01 3.029637e-01 6.100000e-02 9.848852e-01 6.100000e-02 8.718462e-01 1.236000e-01 7.743149e-01 1.236000e-01 2.937845e-01 6.180000e-02 9.846850e-01 6.180000e-02 8.702488e-01 1.252000e-01 7.704955e-01 1.252000e-01 2.846623e-01 6.260000e-02 9.844847e-01 6.260000e-02 8.686535e-01 1.268000e-01 7.666641e-01 1.268000e-01 2.755982e-01 6.340000e-02 9.842842e-01 6.340000e-02 8.670606e-01 1.284000e-01 7.628210e-01 1.284000e-01 2.665939e-01 6.420000e-02 9.840839e-01 6.420000e-02 8.654699e-01 1.300000e-01 7.589665e-01 1.300000e-01 2.576507e-01 6.500000e-02 9.838834e-01 6.500000e-02 8.638814e-01 1.316000e-01 7.551012e-01 1.316000e-01 2.487701e-01 6.580000e-02 9.836828e-01 6.580000e-02 8.622951e-01 1.332000e-01 7.512252e-01 1.332000e-01 2.399533e-01 6.660000e-02 9.834823e-01 6.660000e-02 8.607111e-01 1.348000e-01 7.473389e-01 1.348000e-01 2.312017e-01 6.740000e-02 9.832817e-01 6.740000e-02 8.591293e-01 1.364000e-01 7.434427e-01 1.364000e-01 2.225165e-01 6.820000e-02 9.830812e-01 6.820000e-02 8.575497e-01 1.380000e-01 7.395370e-01 1.380000e-01 2.138990e-01 6.900000e-02 9.828806e-01 6.900000e-02 8.559723e-01 1.396000e-01 7.356220e-01 1.396000e-01 2.053504e-01 6.980000e-02 9.826801e-01 6.980000e-02 8.543971e-01 1.412000e-01 7.316981e-01 1.412000e-01 1.968717e-01 7.060000e-02 9.824792e-01 7.060000e-02 8.528242e-01 1.428000e-01 7.277656e-01 1.428000e-01 1.884643e-01 7.140000e-02 9.822786e-01 7.140000e-02 8.512534e-01 1.444000e-01 7.238248e-01 1.444000e-01 1.801291e-01 7.220000e-02 9.820778e-01 7.220000e-02 8.496848e-01 1.460000e-01 7.198761e-01 1.460000e-01 1.718672e-01 7.300000e-02 9.818769e-01 7.300000e-02 8.481186e-01 1.476000e-01 7.159198e-01 1.476000e-01 1.636796e-01 7.380000e-02 9.816760e-01 7.380000e-02 8.465544e-01 1.492000e-01 7.119563e-01 1.492000e-01 1.555674e-01 7.460000e-02 9.814751e-01 7.460000e-02 8.449924e-01 1.508000e-01 7.079857e-01 1.508000e-01 1.475315e-01 7.540000e-02 9.812743e-01 7.540000e-02 8.434327e-01 1.524000e-01 7.040086e-01 1.524000e-01 1.395728e-01 7.620000e-02 9.810734e-01 7.620000e-02 8.418752e-01 1.540000e-01 7.000250e-01 1.540000e-01 1.316923e-01 7.700000e-02 9.808725e-01 7.700000e-02 8.403197e-01 1.556000e-01 6.960355e-01 1.556000e-01 1.238907e-01 7.780000e-02 9.806713e-01 7.780000e-02 8.387666e-01 1.572000e-01 6.920403e-01 1.572000e-01 1.161690e-01 7.860000e-02 9.804705e-01 7.860000e-02 8.372157e-01 1.588000e-01 6.880396e-01 1.588000e-01 1.085279e-01 7.940000e-02 9.802693e-01 7.940000e-02 8.356668e-01 1.604000e-01 6.840339e-01 1.604000e-01 1.009682e-01 8.020000e-02 9.800681e-01 8.020000e-02 8.341202e-01 1.620000e-01 6.800233e-01 1.620000e-01 9.349061e-02 8.100000e-02 9.798669e-01 8.100000e-02 8.325758e-01 1.636000e-01 6.760083e-01 1.636000e-01 8.609589e-02 8.180000e-02 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