Determine the types of each equilibrium point

Assignment Help Microeconomics

Reference no: EM13895765

1. Give an example of a nonlinear system that has an equilibrium point for which the linearized system has a zero eigenvalue, but the nonlinear system has only one equilibrium point.

2. For the system

x' = y - 1
y' = y - x2,

determine the types of each equilibrium point.

3. For the system

x' = sin(x)
y' = cos(y),

find all equilibrium points and use linearization together with the nullclines to sketch the phase plane.

Reference no: EM13895765

Questions Cloud

Insurance premiums written by us insurers primarily reflects : The share of world wide insurance premiums written by US insurers primarily reflects? -a decline in the competitive characteristics of the US insurance industry

Idea of crime as a social construct : • What does the idea of crime as a social construct mean to you? • How do the authors argue that this definition is initially constructed in such a way that some groups are able to avoid the stigma of negative social behavior within the context of..

Net cost of the machine for capital budgeting purposes : The Campbell Company is evaluating the proposed acquisition of a new milling machine. The machine's base price is $95,000, and it would cost another $91,000 to modify it for special use. What is the net cost of the machine for capital budgeting purpo..

Determine the types of each equilibrium point : Give an example of a nonlinear system that has an equilibrium point for which the linearized system has a zero eigenvalue, but the nonlinear system has only one equilibrium point.

What are the sweeps and why are they important? : What are the Sweeps and why are they important?

What are the causes of systematic violence against women : What are the causes of systematic violence against women? Does such violence against women have a high likelihood of occurring more often in some sociopolitical environments than others? Explain.

Real estate investors expect a much higher return : 9. Real estate investors expect a much higher return on their investments than, say, investors in high-grade bonds. This is because the risks involved in real estate are perceived as being a lot greater than for many other kinds of investments. Wha..

What factors must be considered when measuring ideation : What factors must be considered when measuring ideation in a company

User Account

All Pages