Show that the normal form of a nondegenerate Hopf singularity is given by u v = 0
Question:
Show that the normal form of a nondegenerate Hopf singularity is given by
˙u
˙v
=
0 −β
β 0 u
v
+
au(u2 + v2) − bv(u2 + v2)
av(u2 + v2) + bu(u2 + v2)
+O(|u|5), whereβ > 0 and a = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Dynamical Systems With Applications Using Mathematica
ISBN: 978-3319870892
1st Edition
Authors: Stephen Lynch
Question Posted: