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Using canonical transform to show area preserving
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[QUOTE="TSny, post: 4503593, member: 229090"] The presence of ##I_n## makes the map nonlinear, so you can't just look at the determinant of the map to see if it is area preserving. Think of the map as being in the form $$x_{n+1} = f(x_n,y_n)$$ $$y_{n+1} = g(x_n,y_n)$$ Then consider the Jacobian of this transformation. See for example http://www.math.harvard.edu/archive/118r_spring_05/handouts/henon.pdf [/QUOTE]
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Using canonical transform to show area preserving
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