Wreath products along the period-doubling route to chaos
1999 ◽
Vol 19
(6)
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pp. 1617-1636
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Keyword(s):
The wreath-product construction is used to give a complete combinatorial description of the dynamics of period-doubling quadratic maps leading to the Feigenbaum map. An explicit description of the action on periodic points uses the Thue–Morse sequence. In particular, a wreath-product construction of this sequence is given. The combinatorial renormalization operator on the period-doubling family of maps is invertible.
Keyword(s):
2014 ◽
Vol 91
(2)
◽
pp. 250-263
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Keyword(s):
Keyword(s):
Keyword(s):
1992 ◽
Vol 25
(16)
◽
pp. L1009-L1014
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Keyword(s):
2000 ◽
Vol 20
(1)
◽
pp. 173-229
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Keyword(s):
2002 ◽
Vol 12
(08)
◽
pp. 1895-1907
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2017 ◽
Vol 27
(13)
◽
pp. 1750198
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