LOGISTIC MAP - AN ANALYTICAL SOLUTION

Authors
RABINOVICH S BERKOLAIKO G BULDYREV S SHEHTER A
Citation
S. Rabinovich et al., LOGISTIC MAP - AN ANALYTICAL SOLUTION, Physica. A, 218(3-4), 1995, pp. 457-460
Citations number
3
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
218
Issue
3-4
Year of publication
1995
Pages
457 - 460
Database
ISI
SICI code
0378-4371(1995)218:3-4<457:LM-AAS>2.0.ZU;2-B
Abstract
An analytical solution for the well-known quadratic recursion, the log istic map, is presented. Our derivation is based on the analogy betwee n this recursion and a probabilistic problem that can be solved analyt ically. The solution is represented as a power of a transfer matrix. T he proposed method allows to solve a more general quadratic mapping.