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Show that the following standard map is symplectic $$ I(t+1) = I(t) + K\sin\theta(t) $$ $$ \theta(t+1) = \theta(t) + I(t+1) \bmod 2 \pi$$

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  • $\begingroup$ It seems that your domain has dimension 1 but symplectic manifold have even dimension $\endgroup$ – Nicolas Hemelsoet May 31 '18 at 1:09

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