Register to reply

System of iterated equations

by daniel6874
Tags: linear algebra
Share this thread:
Sep28-11, 09:31 PM
P: 64
The following came up in the context of a genetics question. With the convention that a-e on the LHS have subscript _n+1 and on the RHS a-e have subscript _n,

a = 2ad + bd
b = 2ae + bd + be + 2cd + ce
c = be + ce
d = 2ad + 2ae + bd + be + ce
e = bd + be + 2cd + ce

If the initial values for the variables is a=b=d=e=1, c=0 does the ratio
e/(a+b+c+d+e) converge as n gets large? Can the ratio be calculated without a computer?
Mathematica gives that e/(a+b+c+d+e) is about 0.109 for n=20, FWIW.
Phys.Org News Partner Science news on
Fungus deadly to AIDS patients found to grow on trees
Canola genome sequence reveals evolutionary 'love triangle'
Scientists uncover clues to role of magnetism in iron-based superconductors

Register to reply

Related Discussions
Iterated function system 2 Calculus & Beyond Homework 2
Iterated function system Calculus & Beyond Homework 9
Solution to system of linear equations in range of system matrix Calculus & Beyond Homework 2
Constants in a system of equations that makes the system consistent Precalculus Mathematics Homework 6
Differential equations-system of equations, cleaning up the great lakes... Calculus & Beyond Homework 1