Re: [Maxima-discuss] Staircase function

[Jaime V. <vi...@fe...>]

Hello,

Function "evolution" helps you understand the difference between the two 
examples:

evolution(cos(y),1,11);
evolution(2*y*(1-y),1,11);

In the first case, the sequence approaches gradually to a stationary 
point and that's why staircase shows a coweb diagram. In the second 
case, after the first iteration the sequence reaches the stationary 
point y=0. Hence, staircase shows just two blue segments, from (1,1) to 
(1,0) and from (1,0) to (0,0).

If you choose an initial value in the interval 0<y<1 for 2*y*(1-y), you 
will get a coweb that approaches a stationary point.

Regards,

Jaime

On 27/07/24 19:28, Daniel Wiley wrote:
> Hi,
>
> I am trying to plot this function in Maxima: 2*y*(1-y) using the 
> staircase function so the full code I input is 
> staircase(2*y*(1-y),1,11,[y,0,1]);
> When I run the code in Maxima it plots the function 2*y*(1-y)but 
> doesn't show the next iteration of that function/ it doesn't display 
> the cobweb diagram similar to this code:
> staircase(cos(y),1,11,[y,0,1]);
>
> What am I doing wrong? Where can I find out more examples of how to 
> use the staircase function in Maxima?
>
> Thanks,
>
> Daniel
>
>
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