Consider the Hamiltonian flow æ' (t) = p(t)(7 + 5æ² (t)) , p'(t) = sin(æ(t)) – 5p° (t)æ(t) What is the Hamiltonian (don't include a constant term) H(x,p)

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Consider the Hamiltonian flow
x'(t) = p(t)(7+ 5x²(t)) ,
p'(t) = sin(æ(t)) – 5p² (t)x(t)
What is the Hamiltonian (don't include a constant
term)
H(x, p) =
An example (but wrong answer) would be x*p^2/2 +
exp(x)
Check
Transcribed Image Text:Consider the Hamiltonian flow x'(t) = p(t)(7+ 5x²(t)) , p'(t) = sin(æ(t)) – 5p² (t)x(t) What is the Hamiltonian (don't include a constant term) H(x, p) = An example (but wrong answer) would be x*p^2/2 + exp(x) Check
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