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  3. dx dt =ax+by dy dt =?x ? y, 2. as the values of a

dx dt =ax+by dy dt =?x ? y, 2. As the values of a and b...

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Advance Math

dx dt =ax+by dy dt =?x ? y,

2. As the values of a and b are changed so that the point (a,b)moves from one region to another, the type of the linear systemchanges, that is, a bifurcation occurs. Which of these bifurcationsis important for the long-term behavior of solutions? Which ofthese bifurcations corresponds to a dramatic change in the phaseplane or the x(t)and y(t)-graphs?

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