Please solve asap. Consider the system below.i = rx +y – xý = -x + ry – 2y3This system has a fixed point at(0,0). For that fixed point, a Hopfbifurcation occurs at some value ofr. Identify the bifurcation value,showing your mathematical steps.

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Answered: Consider the system below. i = rx + y –…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...

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Consider the system below. i = rx + y – x³3 ÿ = -x+ ry – 2y3 This system has a fixed point at (0,0). For that fixed point, a Hopf bifurcation occurs at some value of r. Identify the bifurcation value, showing your mathematical steps.