Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations
Lin, Xiao-Biao
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Lin, Xiao-Biao
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A. Vanderbauwhede (1989)
Banach Center Publications
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Brunovský, Pavol
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W. Ingram, Robert Roe (1999)
Colloquium Mathematicae
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We derive several properties of unimodal maps having only periodic points whose period is a power of 2. We then consider inverse limits on intervals using a single strongly unimodal bonding map having periodic points whose only periods are all the powers of 2. One such mapping is the logistic map, = 4λx(1-x) on [f(λ),λ], at the Feigenbaum limit, λ ≈ 0.89249. It is known that this map produces an hereditarily decomposable inverse limit with only three topologically different subcontinua....
Motlagh, O. Rabiei, Afsharnezhad, Z. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ráb, Miloš
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