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Consider a system of the form dx dt = F(y) dy dt = G(x).
Chapter , Problem 14(choose chapter or problem)
QUESTION:
Consider a system of the form dx dt = F(y) dy dt = G(x). That is, dx/dt depends only on y, and dy/dt depends only on x. Show that this system is Hamiltonian. What is the Hamiltonian function?
Questions & Answers
QUESTION:
Consider a system of the form dx dt = F(y) dy dt = G(x). That is, dx/dt depends only on y, and dy/dt depends only on x. Show that this system is Hamiltonian. What is the Hamiltonian function?
ANSWER:Step 1 of 4
To solve this question, we start by recalling what makes a system a Hamiltonian system.
For a system to be a Hamiltonian, the following condition has to apply.
