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Although I have received a lot of help, there is a rather difficult question.
Let we have a system with parameter:
$$x_{n+1}=x_n^p$$
As long p changes, we have to write sequential results in an array.
But if you change seed, trace list should be cleared, and process should start with new value:

Manipulate[SeedRandom[seed];
newvar = var^p;
 AppendTo[trace, newvar];
 var = newvar, 
{{p, 0.5}, 0.1, 1., 0.1}, 
{seed, 1, 100, 1},
 Initialization :> {var = RandomReal[], trace = {}}, 
TrackedSymbols :> {p,seed}]

To put it simply, when seed is changed, Initialization should start. But if p is changed, all should be going on continuously. And I have no idea how to do it using TrackedSymbols.

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1 Answer 1

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Use TrackingFunction on seed.

Manipulate[SeedRandom[seed];
 newvar = var^p;
 AppendTo[trace, newvar];
 var = newvar,
 {{p, 0.5}, 0.1, 1., 0.1},
 {seed, 1, 100, 1, 
  TrackingFunction -> (seed = #; var = RandomReal[]; trace = {}; &)},
 Initialization :> {var = RandomReal[], trace = {}}, 
 TrackedSymbols :> {p, seed}]
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  • $\begingroup$ And another thanks! )) Why there is no link to TrackingFunction in TrackedSymbols page? ( $\endgroup$
    – lesobrod
    Mar 28, 2023 at 10:11

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