Please, I want help in adjusting the quality of the figure surface shape as in the attached picture (as in color, and colored lines in the horizontal plane)
1 Ansicht (letzte 30 Tage)
Ältere Kommentare anzeigen
T K
am 25 Dez. 2022
Verschoben: Walter Roberson
am 29 Dez. 2022
options = odeset('RelTol',1e-6,'Stats','on');
% initial conditions
Xo = [0.5; 0.7; 2];
% choose parameters t and a
tspan = linspace(0,100);
a_vec = 0.01 : 0.005 : 0.03;
% ease the coding and readability
num_t = numel(tspan);
num_a = numel(a_vec);
num_x = numel(Xo);
% allocate output
X = zeros(num_t,num_x,num_a);
for idx = 1:num_a
% Collect all X values into a 3D matrix. Additional parameters to
% TestFunction can be added after ode45 options
[t,X(:,:,idx)] = ode45(@TestFunction,tspan,Xo,options,a_vec(idx));
end
% make sure we have the proper dimmensions before calling surf
plot_t = repmat(t,1,num_a);
plot_a = repmat(a_vec,num_t,1);
plot_x = squeeze(X(:,1,:));
% create the surf plot
figure
surf(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
function [dx_dt]= TestFunction(~,x,a)
r=0.05; k=0.1; %a=0.02;
m=0.02; b=0.2; eta=0.06; h=1;
dx_dt(1)=r.*x(1).*(1-(x(1)./k))-a.*x(1).*x(3)+x(3).*eta;
dx_dt(2)=a.*x(1).*x(3)-m.*x(2)-b.*x(2)+h.*eta;
dx_dt(3)=b.*x(2)-eta.*x(3)-r.*x(1);
dx_dt = dx_dt';
end
3 Kommentare
Akzeptierte Antwort
Walter Roberson
am 28 Dez. 2022
Verschoben: Walter Roberson
am 29 Dez. 2022
It is not clear to me what changes you want.
If you want a plot that is smoother along the a axis then you ned to use more a_vec values.
options = odeset('RelTol',1e-6,'Stats','on');
% initial conditions
Xo = [0.5; 0.7; 2];
% choose parameters t and a
tspan = linspace(0,100);
a_vec = 0.01 : 0.005 : 0.03;
% ease the coding and readability
num_t = numel(tspan);
num_a = numel(a_vec);
num_x = numel(Xo);
% allocate output
X = zeros(num_t,num_x,num_a);
for idx = 1:num_a
% Collect all X values into a 3D matrix. Additional parameters to
% TestFunction can be added after ode45 options
[t,X(:,:,idx)] = ode45(@TestFunction,tspan,Xo,options,a_vec(idx));
end
% make sure we have the proper dimmensions before calling surf
plot_t = repmat(t,1,num_a);
plot_a = repmat(a_vec,num_t,1);
plot_x = squeeze(X(:,1,:));
% create the surf plot
figure
surf(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
%adjust color
colormap(jet)
%another way of adjusting color
lighting GOURAUD
shading interp
%colored lines on the horizontal plane
ax = gca;
ax.XAxis.Color = 'b';
ax.YAxis.Color = 'r';
%but maybe this is what you mean about colored lines...
figure();
surfc(plot_t,plot_a,plot_x)
xlabel('t values')
ylabel('a values')
zlabel('x values')
grid on
function [dx_dt]= TestFunction(~,x,a)
r=0.05; k=0.1; %a=0.02;
m=0.02; b=0.2; eta=0.06; h=1;
dx_dt(1)=r.*x(1).*(1-(x(1)./k))-a.*x(1).*x(3)+x(3).*eta;
dx_dt(2)=a.*x(1).*x(3)-m.*x(2)-b.*x(2)+h.*eta;
dx_dt(3)=b.*x(2)-eta.*x(3)-r.*x(1);
dx_dt = dx_dt';
end
1 Kommentar
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Interactive Control and Callbacks finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!