Show that the one-parameter system x = y + x xy2, y = y
Question:
Show that the one-parameter system
˙ x = y + μx − xy2, ˙ y = μy − x − y3 undergoes a Hopf bifurcation at μ0 = 0. Plot phase portraits and sketch a bifurcation diagram.
Step by Step Answer:
Related Book For
Dynamical Systems With Applications Using Mathematica
ISBN: 978-3319870892
1st Edition
Authors: Stephen Lynch
Question Posted: