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Date: 21-12-2021
1746
Date: 21-8-2021
1657
Date: 7-10-2021
1501
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Consider a one-dimensional Hamiltonian map of the form
(1) |
which satisfies Hamilton's equations
(2) |
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(3) |
Now, write
(4) |
where
(5) |
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(6) |
Then the equations of motion become
(7) |
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(8) |
Note that equations (7) and (8) are not area-preserving, since
(9) |
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(10) |
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(11) |
However, if we take instead of (9) and (10),
(12) |
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(13) |
(14) |
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(15) |
which is area-preserving.
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