Can a map be both nonchaotic and chaotic?

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In Wikipedia’s article ‘List of chaotic maps’ (https://en.wikipedia.org/wiki/List_of_chaotic_maps), one of the entries is:



Feigenbaum strange nonchaotic map



So, how is this possible?










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    map can be chaotic for some values of parameter and non-chaotic for other values.
    – Adam
    Dec 11 '18 at 18:02
















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In Wikipedia’s article ‘List of chaotic maps’ (https://en.wikipedia.org/wiki/List_of_chaotic_maps), one of the entries is:



Feigenbaum strange nonchaotic map



So, how is this possible?










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  • 1




    map can be chaotic for some values of parameter and non-chaotic for other values.
    – Adam
    Dec 11 '18 at 18:02














0












0








0







In Wikipedia’s article ‘List of chaotic maps’ (https://en.wikipedia.org/wiki/List_of_chaotic_maps), one of the entries is:



Feigenbaum strange nonchaotic map



So, how is this possible?










share|cite|improve this question













In Wikipedia’s article ‘List of chaotic maps’ (https://en.wikipedia.org/wiki/List_of_chaotic_maps), one of the entries is:



Feigenbaum strange nonchaotic map



So, how is this possible?







chaos-theory






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asked Dec 9 '18 at 20:41









EulerSpoiler

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  • 1




    map can be chaotic for some values of parameter and non-chaotic for other values.
    – Adam
    Dec 11 '18 at 18:02














  • 1




    map can be chaotic for some values of parameter and non-chaotic for other values.
    – Adam
    Dec 11 '18 at 18:02








1




1




map can be chaotic for some values of parameter and non-chaotic for other values.
– Adam
Dec 11 '18 at 18:02




map can be chaotic for some values of parameter and non-chaotic for other values.
– Adam
Dec 11 '18 at 18:02










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It depends strongly in what do you mean about chaos. The term chaos is not too well defined yet. "no universally accepted mathematical definition of chaos exists", this in an extract of this page:



https://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics



There are also some definitions of chaos that you can try to verify to the function that you said.






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    It depends strongly in what do you mean about chaos. The term chaos is not too well defined yet. "no universally accepted mathematical definition of chaos exists", this in an extract of this page:



    https://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics



    There are also some definitions of chaos that you can try to verify to the function that you said.






    share|cite|improve this answer


























      0














      It depends strongly in what do you mean about chaos. The term chaos is not too well defined yet. "no universally accepted mathematical definition of chaos exists", this in an extract of this page:



      https://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics



      There are also some definitions of chaos that you can try to verify to the function that you said.






      share|cite|improve this answer
























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        It depends strongly in what do you mean about chaos. The term chaos is not too well defined yet. "no universally accepted mathematical definition of chaos exists", this in an extract of this page:



        https://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics



        There are also some definitions of chaos that you can try to verify to the function that you said.






        share|cite|improve this answer












        It depends strongly in what do you mean about chaos. The term chaos is not too well defined yet. "no universally accepted mathematical definition of chaos exists", this in an extract of this page:



        https://en.wikipedia.org/wiki/Chaos_theory#Chaotic_dynamics



        There are also some definitions of chaos that you can try to verify to the function that you said.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 9 '18 at 21:59









        Gil Astudillo

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