8. Consider the linear system Y ‘ = AY , where ( a b 1 A = 1 . c d ) Determine conditions on a , b…

8.          Consider the linear system Y' = AY, where

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a    b 1

A = 1           .

  c    d )

 

Determine conditions on a, b, c, and d that guarantee that this system is Hamiltonian. What types of equilibrium points can occur for such a linear Hamiltonian system?

 

 

 

9.          Find the Hamiltonian function for the linear system in problem  8.