6. Consider the dynamical systemdx- = x (x² − 4x)-dtwhere X a parameter. Determine the fixed points and their nature (i.e. stable or unstable)and draw the bifurcation diagram.

From the above details we have,

Answered: 6. Consider the dynamical system dx -=…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 23E

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6. Consider the dynamical system dx -= x (x² - 4x) dt where is a parameter. Determine the fixed points and their nature (i.e. stable or unstable) and draw the bifurcation diagram.