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

funcosed · Mar 1, 2011

Homework Statement

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

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

thanks

Joseph7 · Apr 24, 2011

funcosed said:

Homework Statement

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

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

thanks

Were you able to find the solution to this problem? Thanks

funcosed · Apr 25, 2011

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.