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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

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

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orbits

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

Calculate