Need help on the question about the period of a cycle

Apr 2014
1
0
Vietnam
So you're given an iterated map: Pn+1 = Pn(1 + b - DPn)

Explain why the period of a cycle is not uniquely defined, and suggest a quantity that more precisely defines what we would naturally think of as the period of a cycle.

Would anyone please explain this question to me, or just give me some hints to answer this? I really appreciate your help, thank you very much!
 

Ror

Apr 2014
1
0
UK
Surrey Modelling and Experiment? I'm stuck on this too :/
 

HallsofIvy

MHF Helper
Apr 2005
20,249
7,909
So you're given an iterated map: Pn+1 = Pn(1 + b - DPn)

Explain why the period of a cycle is not uniquely defined, and suggest a quantity that more precisely defines what we would naturally think of as the period of a cycle.

Would anyone please explain this question to me, or just give me some hints to answer this? I really appreciate your help, thank you very much!
I don't see how anyone can "suggest a quantity that more precisely defines what we would naturally think of as the period of a cycle" without knowing what it is "more precise" than! In other words, what definition of "period of a cycle" are you referring to?