Logistic map: an analytical solution Academic Article uri icon

abstract

  • An analytical solution for the well-known quadratic recursion, the logistic map, is presented. Our derivation is based on the analogy between this recursion and a probabilistic problem that can be solved analytically. The solution is represented as a power of a transfer matrix. The proposed method allows to solve a more general quadratic mapping.

author list (cited authors)

  • Rabinovich, S., Berkolaiko, G., Buldyrev, S., Shehter, A., & Havlin, S.

complete list of authors

  • Rabinovich, S||Berkolaiko, G||Buldyrev, S||Shehter, A||Havlin, S

publication date

  • January 1995