The image shown in the right column is rendered in Sunflow. Any renderer that has sphere primitive can be used to generate such images. This formula gives the x,y and z coordinates, these values can be exported as the center of the sphere primitive in that renderer .
numPoints = 100000;
x = zeros(1,numPoints);
y = zeros(1,numPoints);
z = zeros(1,numPoints);
x(1) = 0;%0.10001;
y(1) = 0;%-0.10001;
z(1) = 0;%0.10001;
dt = 0.02;
a = 0.2;
b = 0.2;
c = 8.0;
for n = 2:numPoints
x(n) = x(n-1)+ dt*(-y(n-1)-z(n-1));
y(n) = y(n-1)+ dt*(x(n-1)+a*y(n-1));
z(n) = z(n-1)+ dt*(b+z(n-1)*(x(n-1)-c));
end
% draw connecting line
line(x,y,z,'LineWidth',0.5,'Color',[0.2 0.3 0.5]);
view(3)
axis on equal
box on
% draw only the points
figure
line(x,y,z,'Marker','.'...
,'Markersize',1,...
'Linestyle','none',...
'Color',[0.2 0.3 0.5]);
view(3)
axis on equal
box on
plot(x,y,'.','MarkerSize',1);
scatter(x,y,1,x);
colormap hsv
axis on