## Question

###### 2 (6 points). Consider the Hamiltonian system 2y, 162 4x3 _Find the equilibrium points and test their stability by Jacobian matrix approach: Find the Hamiltonian function and use it to sketch the phase portrait. Describe the curves that contain Homo-clinic orbits.

2 (6 points). Consider the Hamiltonian system 2y, 162 4x3 _ Find the equilibrium points and test their stability by Jacobian matrix approach: Find the Hamiltonian function and use it to sketch the phase portrait. Describe the curves that contain Homo-clinic orbits.

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