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Divergence test for a planar periodic orbit
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Floquet multiplier
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For a planar periodic orbit
γ
of period
T
, its nontrivial Floquet multiplier is
exp
(
∫
0
T
∇
⋅
F
(
γ
(
t
))
d
t
)
.
(25)
The orbit is asymptotically stable when the integral is negative and unstable when it is positive.
Ancestors
(5)
Floquet multiplier
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