@article{AIHPA_1990__53_4_467_0, author = {Aurell, Erik}, title = {Finding eigenvalues of the period-doubling operator from the characteristic equation}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {467--477}, publisher = {Gauthier-Villars}, volume = {53}, number = {4}, year = {1990}, mrnumber = {1096104}, zbl = {0727.58036}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1990__53_4_467_0/} }
TY - JOUR AU - Aurell, Erik TI - Finding eigenvalues of the period-doubling operator from the characteristic equation JO - Annales de l'I.H.P. Physique théorique PY - 1990 SP - 467 EP - 477 VL - 53 IS - 4 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1990__53_4_467_0/ LA - en ID - AIHPA_1990__53_4_467_0 ER -
%0 Journal Article %A Aurell, Erik %T Finding eigenvalues of the period-doubling operator from the characteristic equation %J Annales de l'I.H.P. Physique théorique %D 1990 %P 467-477 %V 53 %N 4 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1990__53_4_467_0/ %G en %F AIHPA_1990__53_4_467_0
Aurell, Erik. Finding eigenvalues of the period-doubling operator from the characteristic equation. Annales de l'I.H.P. Physique théorique, Volume 53 (1990) no. 4, pp. 467-477. http://archive.numdam.org/item/AIHPA_1990__53_4_467_0/
[1] J. Stat. Phys., Vol. 21, 1979, p. 669. | MR | Zbl
,[2] J. Stat. Phys., Vol. 52, 1988, p. 527. | MR | Zbl
,[3] Phys. Rev. A, Vol. 39, 1989, p. 5359. | MR
, and ,[4] Phys. Rev. Lett., Vol. 61, 1988, p.2729. | MR
,[5] Phys. Rev. A, Vol. 31, 1985, p. 1872.
and ,[6] Non-linear Evolution and Chaotic Phenomena, Plenum, New York 1987.
, in P. ZWEIFEL, G. GALLAVOTTI and M. ANILE Eds.,[7] J. Ind. Math. Soc., Vol. 20, 1956, p. 47. | MR | Zbl
,[8] Inventiones math., Vol. 34, 1976, p. 231, and , The Thermodynamic Formalism for Expanding Maps, I.H.E.S. P/89/08, An Extension of the Theory of Fredholm Determinants, I.H.E.S. P/89/38. | MR | Zbl
,[9] Convergence of Dynamical Zeta Functions, J. Stat. Phys., Vol. 58, 1990, pp. 967-995. | MR | Zbl
,[10] Numerical Recipies, Cambridge University Press, 1988.
, , and ,[11] Recycling Strange Sets I, II, Non-linearity (in press). | Zbl
, and ,[12] Methods of Mathematical Physics.
and ,[13] Universality in Chaos, P. CVITANOVIĆ Ed., Adam Hilger, Bristol (private communication). | MR
, in[14]
and (private communication).[15] Essentials of Padé Approximants, Academic Press, 1975. | Zbl
,[16] Z. Angew. Math. Phys., Vol. 5, 1954, p. 233. | MR | Zbl
,