 Solution

ID: past-exam-of-the-mathematical-physiology-course-of-the-university-of-oxford/2011/3/c/iii/solution

At the crossing the angular frequency is

ω_{c} = 1

, so the limiting small-amplitude period is

T_{c} = \frac{2 π}{ω _{c}} = 2 π = 4 τ_{c} .

This is the period of the bifurcating infinitesimal oscillation. Finite-amplitude oscillations away from the threshold need not have period exactly

4 τ

 New to topics? Read the docs here!