Defining an Integral for a Map x → g(x)

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Homework Statement


Could someone define the notion of an integral for a map,

x → g(x), x element of R2
or
xn+1=g(xn

thanks
 
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funcosed said:

Homework Statement


Could someone define the notion of an integral for a map,

x → g(x), x element of R2
or
xn+1=g(xn

thanks


Were you able to find the solution to this problem? Thanks
 
An integral is a non-constant mapping which remains invarient on the forward orbit i.e. it is a conservative law for the difference equation.
 
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