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Arnold's Trivium
1991 Arnold's Trivium
28
Problem 28
Problem 28
Source:
July 1, 2010
parameterization
Problem Statement
Sketch the phase portrait and investigate its variation under variation of the small complex parameter
ϵ
\epsilon
ϵ
:
z
˙
=
ϵ
z
−
(
1
+
i
)
z
∣
z
∣
2
+
z
‾
4
\dot{z}=\epsilon z-(1+i)z|z|^2+\overline{z}^4
z
˙
=
ϵz
−
(
1
+
i
)
z
∣
z
∣
2
+
z
4
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