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### Related

?evolution;

Calculate

##### evolution-load-map-plot2d-staircase

load("dynamics");

map: if x <=-1 the...

plot2d([map,x],[x,-5,...

Calculate

##### evolution-load

load(dynamics);

F(r,x):=r*x*(1-x);

evolution(F(3.2,x),0....

Calculate

##### evolution-load-staircase

load("dynamics");

staircase(2*y*(1-y),0...

%evolution(2*y*(1-y),...

Calculate

##### evolution-load-make_random_state-set_random_state-solve-true

solve(r*c*(1-c)=c,c);

F(r,x):=r*x*(1-x);

load(dynamics);

Calculate

load (dynamics);

y0: 20;

dy: 0;

Calculate

##### evolution-load-make_random_state-orbits-set_random_state-staircase-true

F(r,x):=r*x*(1-x);

load("dynamics");

set_random_state(make...

Calculate

##### evolution-load-make_random_state-orbits-set_random_state-staircase-true

F(r,x):=r*x*(1-x);

load("dynamics");

set_random_state(make...

Calculate

##### evolution-load-staircase

load("dynamics");

evolution(2.0*x*(1-x)...

staircase(2.0*x*(1-x)...

Calculate

##### evolution-load-staircase

load(dynamics);

F(r,x):=r*x*(1-x);

evolution(F(3.2,x),0....

Calculate

### evolution

Run Example
```(%i1)load("dynamics");
(%o1)        /usr/share/maxima/5.21.1/share/dynamics/dynamics.mac
(%i2) staircase(2*y*(1-y),0.01,15,[y,0,1.2]);
(%o2)
(%i3) evolution(2*y*(1-y),0.01,15,[style,lines]);
(%o3)
(%i4) ```
Run Example
```load("dynamics");
(%o1)        /usr/share/maxima/5.21.1/share/dynamics/dynamics.mac
(%i2) staircase(cos(y), 1, 11);
plot2d: some values were clipped.
plot2d: some values were clipped.
(%o2)
(%i3) evolution(cos(y), 2, 11);
(%o3)
(%i4) ```
Run Example
```F(r,x):=r*x*(1-x);
(%o1)                       F(r, x) := r x (1 - x)
(%i2) load("dynamics");
(%o2)        /usr/share/maxima/5.21.1/share/dynamics/dynamics.mac
(%i3) set_random_state(make_random_state (true));
(%o3)                                done
(%i4) x[0]:random(1.0);
(%o4)                          0.38203793012021
(%i5) evolution(F(3.5,x),0.3,25,[y,0,1]);
(%o5)
(%i6) staircase(F(3.1,x),x[0],250,[x,0,1],[y,0,1]);
(%o6)
(%i7) orbits(F(r,x), x[0], 150, 200, [r, 2.5, 4], [style, dots]);
Graph passed to plot2d...
(%o7)
(%i8) ```

### Related Help

Help for Evolution