Energy of one mass in a Hamiltonian System

[IamNoEinstein]

Hi. I hope this is in the right spot - I am not a physics major so not sure if it qualifies as classical, quantum, or other type of physics). I am asking the following to check the calculations of my graduate math thesis

I am simulating a one dimensional chain of masses and linear springs (that is, springs with Force=-kx). The system is Hamiltonian, so it's total energy is constant. My calculations show that the entire system does not lose any energy.

Should the sum of one mass' kinetic and potential energy also be constant?

 

[berkeman]

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