# How can I verify that this standard map is symplectic?

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

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