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A note on Verhulst's logistic equation and related logistic maps | | M. Ranferi Gutierrez
; M.A. Reyes
; H.C. Rosu
; | | Date: |
8 Oct 2009 | | Abstract: | We consider the Verhulst logistic equation and a couple of forms of the
corresponding logistic maps. For the case of the logistic equation we show that
using the general Riccati solution only changes the initial conditions of the
equation. Next, we consider two forms of corresponding logistic maps reporting
the following results. For the map x_{n+1} = rx_n(1 - x_n) we propose a new way
to write the solution for r = -2 which allows better precision of the iterative
terms, while for the map x_{n+1}-x_n = rx_n(1 - x_{n+1}) we show that it
behaves identically to the logistic equation from the standpoint of the general
Riccati solution | | Source: | arXiv, 0910.1560 | | Services: | Forum | Review | PDF | Favorites | |
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