3. Consider the following system of ordinary differential equations: dr ur - y+ ry, !! dt dy = r+ py + y. dt Show that there is a Hopf bifurcation at u = 0. Is it supercritical, subcritical or neither?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. Consider the following system of ordinary differential equations:
dr
ur - y + ry?,
dt
dy
= r+ py + y.
dt
Show that there is a Hopf bifurcation at u = 0. Is it supercritical, subcritical or neither?
Transcribed Image Text:3. Consider the following system of ordinary differential equations: dr ur - y + ry?, dt dy = r+ py + y. dt Show that there is a Hopf bifurcation at u = 0. Is it supercritical, subcritical or neither?
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