“Hamiltonian Map”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hamiltonian Map

释义

Hamiltonian Map

Consider a 1-D Hamiltonian Map of the form

(1)

which satisfies Hamilton's Equations

			(2)
			(3)

Now, write

(4)

where

			(5)
			(6)

Then the equations of motion become

			(7)
			(8)

Note that equations (7) and (8) are not Area-Preserving, since

(9)

However, if we take instead of (7) and (8),

			(10)
			(11)


			(12)

which is Area-Preserving.

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