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The Maxima on-line user's manual

Algebra Calculator

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Evolution

Function: evolution (<F>, <y0>, <n>, ..., options, ...); Draws <n+1> points in a two-dimensional graph, where the horizontal coordinates of the points are the integers 0, 1, 2, ..., <n>, and the vertical coordinates are the corresponding values <y(n)> of the sequence defined by the recurrence relation y(n+1) = F(y(n))

load("dynamics");
staircase(2*y*(1-y),0.01,15,[y,0,1.2]);
evolution(2*y*(1-y),0.01,15,[style,lines]);

With initial value <y(0)> equal to <y0>. <F> must be an expression that depends only on one variable (in the example, it depend on <y>, but any other variable can be used), <y0> must be a real number and <n> must be a positive integer.

There are also some inexact matches for evolution. Try ?? evolution to see them.

(%o1)                                true
(%i2) 

Related Examples

evolution-load-staircase

load("dynamics");

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

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

Calculate

evolution-load-map-plot2d-staircase
plot2d([map,x],[x,-5,5]);

load("dynamics");

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

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

Calculate

evolution-load-staircase

load("dynamics");

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

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

Calculate

evolution-load-map-plot2d-staircase
plot2d([map,x],[x,-5,5]);

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-map-plot2d-staircase
plot2d([map,x],[x,-5,5]);

load("dynamics");

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

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

Calculate

evolution-load-staircase

load(dynamics);

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

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

Calculate

evolution-load-map-plot2d-staircase

load("dynamics");

/* [wxMaxima: input ...

/* [wxMaxima: input ...

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