Analytical Solution of the Logistic Equation Conference Paper uri icon


  • An analytical solution for the well-known quadratic recursion, also known as the logistic map, is presented. Our derivation makes use of the analogy between this equation and GaltonWatson processes. The latter can be treated in a linear way using the transfer matrix technique. The solution is represented as a power of an appropriate transfer matrix.

published proceedings

  • International Journal of Bifurcation and Chaos

author list (cited authors)

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

citation count

  • 5

complete list of authors

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

publication date

  • April 1997