diff --git a/wk/HD_study.m b/wk/HD_study.m
new file mode 100644
index 0000000..14951e8
--- /dev/null
+++ b/wk/HD_study.m
@@ -0,0 +1,88 @@
+% bursts simulations
+b_=[...
+    5e-1, 5e+0;...
+    1e-1, 1e-1;...
+    1e-1, 3e-2;...
+    1e-1, 2e-2;...
+    1e-1, 1e-2;...
+    5e-2, 3e-3;...
+    5e-2, 2e-3;...
+    1e-2, 3e-3;...
+    1e-3, 2e-2;...
+    ];
+% converged plateau simulations
+cp_=[...
+    1e+0, 1e-2;...
+    1e+0, 3e-3;...
+    1e+0, 2e-3;...
+    1e-1, 2e-3;...
+    1e-1, 1e-3;...
+    ];
+% moving plateau
+dp_=[...
+    1e+0, 5e+0;...
+    1e+0, 2e+0;...
+    1e+0, 1e+0;...
+    1e-3, 2e-2;...
+    1e-3, 1e-2;...
+    1e-3, 5e-3;...
+    1e-3, 2.5e-3,...
+    ];
+% not sure
+rp_=[...
+    5e-2, 1e-3;...
+    1e-2, 1e-3;...
+    1e-2, 1e-4;...
+    ];
+figure; set(gcf, 'Position',  [100, 100, 900, 400])
+grid on; xlim([5e-4,5e0]); ylim([5e-5,5e+0]);
+set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
+xlabel('$\nu_{DGGK}$'); ylabel('$\mu_{HD}$'); hold on;
+
+% Trajectory of simulations
+
+% HD_study/200x100_L_200_P_2_J_1_eta_0.6_nu_1e+00_DGGK_CLOS_0_mu_1e-02/
+mu_ = [0  1 2 5 5];
+nu_ = [1  1 1 1 0.5];
+plot(nu_,mu_,'x--','DisplayName','N=200, L=050, P,J=2,1');
+
+% HD_study/300x150_L_200_P_2_J_1_eta_0.6_nu_1e-01_DGGK_CLOS_0_mu_1e-02/
+mu_ = [1e-2 1e-3];
+nu_ = [1e-1 1e-1];
+plot(nu_,mu_,'x--','DisplayName','N=300, L=100, P,J=2,1');
+
+% Trajectory of simulations
+% HD_study/100x50_L_50_P_2_J_1_eta_0.6_nu_1e-01_DGGK_CLOS_0_mu_1e-02/
+mu_ = [1e-2 5e-3 2e-3];
+nu_ = [1e-1 1e-1 1e-1];
+plot(nu_,mu_,'x-','DisplayName','N=100, L=050, P,J=2,1');
+
+% HD_study/150x75_L_100_P_2_J_1_eta_0.6_nu_1e-01_DGGK_CLOS_0_mu_3e-02/
+mu_ = [3e-2 1e-3    0];
+nu_ = [1e-1 1e-1 1e-1];
+plot(nu_,mu_,'x--','DisplayName','N=150, L=100, P,J=2,1');
+
+% HD_study/150x75_L_100_P_2_J_1_eta_0.6_nu_1e-02_DGGK_CLOS_0_mu_3e-02/
+mu_ = [3e-3 1e-3 1e-4];
+nu_ = [1e-2 1e-2 1e-2];
+plot(nu_,mu_,'x--','DisplayName','N=150, L=100, P,J=2,1');
+
+% HD_study/150x75_L_100_P_2_J_1_eta_0.6_nu_5e-02_DGGK_CLOS_0_mu_3e-02/
+mu_ = [3e-3 1e-3];
+nu_ = [5e-2 5e-2];
+plot(nu_,mu_,'x--','DisplayName','N=150, L=100, P,J=2,1');
+
+scatter( b_(:,1), b_(:,2),'o',...
+    'MarkerFaceColor',[0.6350 0.0780 0.1840],'MarkerEdgeColor',[0 0 0],'SizeData',50,...
+    'DisplayName','Bursts'); 
+scatter(cp_(:,1),cp_(:,2),'s',...
+    'MarkerFaceColor',[0.4660 0.6740 0.1880],'MarkerEdgeColor',[0 0 0],'SizeData',50,...
+    'DisplayName','Converged Plateau'); 
+scatter(dp_(:,1),dp_(:,2),'v',...
+    'MarkerFaceColor',[0.4660 0.6740 0.1880],'MarkerEdgeColor',[0 0 0],'SizeData',50,...
+    'DisplayName','Moving Plateau'); 
+scatter(rp_(:,1),rp_(:,2),'h',...
+    'MarkerFaceColor',[0.9290 0.6940 0.1250],'MarkerEdgeColor',[0 0 0],'SizeData',50,...
+    'DisplayName','not sure'); 
+% plot([1 1],[5e-5 5e-1],'--','Color',[0.4660 0.6740 0.1880]);
+legend('show','Location','Eastoutside')
\ No newline at end of file