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a. Consider the Duffing oscillator equation with no forcing

y' = v

v' = y - y3.

What are the equilibrium points for this system?

b. Show that this system is Hamiltonian with Hamiltonian function

H(y, v) = v2/2 - y2/2 + y4/4.

c. Sketch the level curves of this Hamiltonian function.

d. Describe the motion of the slender steel beam in the different cases that arise.

Microeconomics, Economics

  • Category:- Microeconomics
  • Reference No.:- M91569822

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