Sponsored links: Algebra eBooks ### The Maxima on-line user's manual

Algebra Calculator

#### Search: #### Orbits

Function: orbits (<F>, <y0>, <n1>, <n2>, [<x>, <x0>, <xf>, <xstep>], ...options...); Draws the orbits diagram for a family of one-dimensional discrete dynamical systems, with one parameter <x>; that kind of diagram is used to study the bifurcations of a one-dimensional discrete system.

The function <F(y)> defines a sequence with a starting value of <y0>, as in the case of the function `evolution`, but in this case that function will also depend on a parameter <x> that will take values in the interval from <x0> to <xf> with increments of <xstep>. Each value used for the parameter <x> is shown on the horizontal axis. The vertical axis will show the <n2> values of the sequence <y(n1+1)>,..., <y(n1+n2+1)> obtained after letting the sequence evolve <n1> iterations.

```(%o1)                                true
(%i2) ```

### Related Examples

? orbits;

Calculate

##### orbits

orbits(x^2+a, 0, 50, ...

Calculate

? orbits;

Calculate

##### orbits

orbits(x^2+a, 0, 50, ...

Calculate 