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?
chaos-theory
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
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add a comment |
$begingroup$
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
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
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1
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map can be chaotic for some values of parameter and non-chaotic for other values.
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– Adam
Dec 11 '18 at 18:02
add a comment |
$begingroup$
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
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
$endgroup$
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
chaos-theory
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
asked Dec 9 '18 at 20:41
EulerSpoilerEulerSpoiler
729
729
1
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map can be chaotic for some values of parameter and non-chaotic for other values.
$endgroup$
– Adam
Dec 11 '18 at 18:02
add a comment |
1
$begingroup$
map can be chaotic for some values of parameter and non-chaotic for other values.
$endgroup$
– Adam
Dec 11 '18 at 18:02
1
1
$begingroup$
map can be chaotic for some values of parameter and non-chaotic for other values.
$endgroup$
– Adam
Dec 11 '18 at 18:02
$begingroup$
map can be chaotic for some values of parameter and non-chaotic for other values.
$endgroup$
– Adam
Dec 11 '18 at 18:02
add a comment |
1 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.
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
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add a comment |
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$begingroup$
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.
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
$endgroup$
add a comment |
$begingroup$
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.
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
$endgroup$
add a comment |
$begingroup$
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.
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
$endgroup$
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.
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
answered Dec 9 '18 at 21:59
Gil AstudilloGil Astudillo
315
315
add a comment |
add a comment |
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map can be chaotic for some values of parameter and non-chaotic for other values.
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– Adam
Dec 11 '18 at 18:02