1. For each of the following system, find the values of u at which bifurcations occur, andclassify those as saddle-node, transcritical, supercritical pitchfork, or subcritical pitchfork.Finally, sketch the bifurcation diagram of equilibrium points z vs. μ.(a) i= μ-3x²(b) i=5-µe ²²(c) à ur-(d) = µ-T1+zI1+2²

Here, in the question, the discussion is all about bifurcations. Although the dynamics of…

Answered: 1. For each of the following system, f…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. For each of the following system, f classify those as saddle-node, transcrit Finally, sketch the bifurcation diagram (a) i= μ-32² (b) i=5-µe ²² (c) = μx- I 1+z Т (d) = µ-1+²