A181406 Symbolic sequence at the accumulation point of the 3*2^{k} supercycles of unimodal maps.

1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1

Offset

1

Comments

Obtained from sequence A035263 by replacing 1->100, 0->101.

References

B. Deridda, A. Gervois and Y. Pomeau, "Iteration of endomorphisms on the real axis and representation of numbersé, Ann. Inst. H. Poincaré, Section A: Physique XXIX(3), 305-356 (1978).

K. Karamanos, "From symbolic dynamics to a digital approach", Int. J. Bif. Chaos 11(6), 1683-1694 (2001).

K. Karamanos, "Entropy analysis of substitutive sequences revisited", J. Phys. A: Math. Gen. 34, 9231-9241 (2001).

K. Karamanos and G. Nicolis, "Symbolic dynamics and Entropy analysis of Feigenbaum Limit Sets", Chaos, Solitons & Fractals 10(7), 1135-1150 (1999).

N. Metropolis, M.L. Stein and P.R. Stein, "On finite limit sets for transformation on the unit interval", J. Comb. Theory A15(1), 25-44(1973).

H. G. Schuster, "Deterministic Chaos", Physik-Verlag, Weinheim, (1984).

Links

Table of n, a(n) for n=1..33.

Example

The logistic map.

Crossrefs

Cf. A035263.

Sequence in context: A005171 A283265 A365410 * A285252 A076404 A317961

Adjacent sequences: A181403 A181404 A181405 * A181407 A181408 A181409

Keyword

nonn,more

Author

Karamanos Konstantinos, Jan 28 2011

Status

approved