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Establish the classification of each equilibrium point

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Reference no: EM132400294

Question. Consider the nonlinear system of differential equations

xt = 2x - x5 -xy4

yt = y - y3 - x2y,

where the differentiation is with respect to time.

(a) Prove that there are no equilibrium points outside the coordinate axes.

(b) Prove that there are exactly five equilibrium points in the coordinate axes.

(c) Linearise the system and establish the classification of each equilibrium point

Reference no: EM132400294

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len2400294

11/13/2019 8:48:35 PM

This is a mathematical modeling of nonlinear system of differential equation chapter 7 in mathematical modeling with case studies B Barnes G R fulford

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