Maple Text Commands for Chapter 11 -  

LINEAR DISCRETE DYNAMICAL SYSTEMS 

Example 1: Solving recurrence relations . 

>	restart:b:=evalf(rsolve({x(n+1)=(1+(3/(100)))*x(n),x(0)=10000},x)): n:=5:evalf(b,7);

 

Example 2(i): Second-order linear difference equation  

>	n:='n': factor(rsolve({x(n+2)=x(n+1)+6*x(n),x(0)=1,x(1)=2},x));

 

Example 4: Leslie matrices. 

>	with(LinearAlgebra):

 

>	L:=Matrix([[0,3,1],[0.3,0,0],[0,0.5,0]]);

 

>	X0:=<<1000,2000,3000>>;

 

>	X10:=L^(10).X0;

 

>	Eigenvectors(L);

 

End of Chapter 11 Commands