Find b & r for Periodic Trajectory of f(x) = r*x/(1+x)^b

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The discussion revolves around finding values of b and r in the function f(x) = r*x/(1+x)^b that lead to trajectories being attracted to a periodic trajectory. A forum member advises that the question may belong in a dedicated homework section and emphasizes the need for the original poster to demonstrate some effort in solving the problem. There is also a suggestion that the question might be incomplete, as the term "trajectory" typically implies a differential equation context. The conversation highlights the importance of clarity and adherence to forum guidelines in mathematical discussions. Overall, the focus is on understanding the conditions for periodic trajectories in the given function.
Ljilja
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Hi all,
I am new to this forum.
My question is:
Find values of b and r for which trajectories are attracted to a periodic trajectory.
The function is:
f(x) = r*x/(1+x)^b

No proofs needed, just a numerical demonstration.


Thanks a lot,
Ljilja
 
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Hiya Ljilja and welcome to the forums,

For future reference we have dedicated homework forums for such questions. In addition, according to the forum guidelines you are required to show some sort of effort in solving the problem yourself.

What are your thoughts?
 
I also presume that the whole question hasn't been stated; ie. the word trajectory (to me) implies a differential equation \dot{x}=f(x)
 

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