Details

Autor(en) / Beteiligte

• Binder, P.-M.

Titel

Limit cycles in a quadratic discrete iteration

Ist Teil von

• Physica. D, 1992-06, Vol.57 (1), p.31-38

Ort / Verlag

Amsterdam: Elsevier B.V

Erscheinungsjahr

1992

Link zum Volltext

Quelle

Elsevier Journal Backfiles on ScienceDirect (DFG Nationallizenzen)

Beschreibungen/Notizen

• I study the truncated logistic equation as a map of D integers. The number of limit cycles and the size of longest cycle are averaged exhaustively over many values of D for parameter values a beyond the first accumulation point. Fits of these quantities are compared with estimates obtained from random maps; the results suggest some form of self-organization. I also present some analytical results on the existence and position of fixed points and a fast matrix method to enumerate limit cycles of arbitrary length for given a and D.