Run Initialization in Manipulate Manually

Question

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.

Answer 1

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}]