Properties of a chaotic invariant set of a dynamical systemby alk Tags: chaotic, dynamical, invariant, properties 

#1
Feb2412, 01:27 PM

P: 2

Can someone please explain to me,
why is it that having a dense set of periodic points is so important for an invariant set of a chaotic dynamical system? It has something to do with exhibiting a regular behavior intermingled with the chaotic (the regular element according to Devaney), but I can't seem to find a way to conclude this line of thinking (I don't have Devaney's book right now). Thanks in advance 


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