What are the equilibrium points for this system

Assignment Help Microeconomics

Reference no: EM13895785

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.

Reference no: EM13895785

Questions Cloud

Explain why you need to use good wbs project management : Explain why you need to use good WBS project management software?

Manual processes of accounting and business reporting : You may also employ any analysis or design tool in the preparation of your report - so long as the results are suitable for presentation in the required Word document and are your own work.

Interest rate : To what extent do you agree or disagree with the following statement on a scale of 1 to 5 where 1 = strongly disagree and 5 = strongly agree? Please explain your answer. "If I needed a 30 year fixed, traditional (not FHA) mortgage, I would accept one..

Neighborhood strain-war on poverty : Summarize the following criminology theories: strain theories, anomie, general strain theory, neighborhood strain, and war on poverty.

What are the equilibrium points for this system : Consider the Duffing oscillator equation with no forcing y' = v , v' = y - y3. What are the equilibrium points for this system?

The risk-free rate of return : The beta of M Simon Inc., stock is 1.8, whereas the risk-free rate of return is 0.08. If the expected return on the market is 0.15, then what is the expected return on M Simon Inc?

Benefit package provided by a health maitenance organization : The benefit package provided by a Health Maitenance organization differs from major medical indemnity policy in that it -encourages preventative care -usually provides prescription benefits

Competition amongst bond brokers causes bonds : Suppose that competition amongst bond brokers causes bonds to become more liquid. Using the liquidity preference model, show graphically how this will affect money demand and the nominal interest rate

Neighborhood strain-war on poverty : Summarize the following criminology theories: strain theories, anomie, general strain theory, neighborhood strain, and war on poverty.

User Account

All Pages