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unscientific

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## Homework Statement

I'm given this system:

[tex]\dot x = Ax^2 y + 1 - (B+1)x[/tex]

[tex]\dot y = Bx - Ax^2 y [/tex]

(a) Find the value of B when hopf bifurcation occurs.

(b) Estimate the period of the limit cycle in terms of ##A## and ##B##.

## Homework Equations

## The Attempt at a Solution

I have found fixed point to be ##(1, \frac{B}{A})##. I have plotted the graphs of ##\dot x = 0## and ##\dot y = 0##. Does bifurcation occur at ##B_H = 0##? Because when that happens the y=intercept of the fixed point approaches ##0##.

How do I find the period of the limit cycle surrounding the trapping region?

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