ZIB

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Asymptotic and essentially singular solutions of the Feigenbaum equation (1988)

Thompson, Colin J. ; McGuire, J. B.

Springer

Journal of statistical physics 51 (1988), S. 991-1007

add to mindlist on the mindlist

Details

ISSN: 1572-9613

Keywords: Feigenbaum ; largeN ; iteration ; doubling transformation ; universal ; fixed point ; feigenvalue

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract For suitably defined largeN, we express Feigenbaum's equation as a singular Schroder functional equation whose solution is obtained using a scaling ansatz. In the limit of infiniteN certain self-consistency conditions on the scaled Schroder solution lead to an essentially singular solution of Feigenbaum's equation with a length scale factor of α≅ 0.0333 and. a limiting feigenvalue of δ∞≃30.50, in agreement with Eckmann and Wittwer's value of α=0.0333831... and their conjectured estimate of δ∞≲30.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01014896

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit