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Centre-manifold invariance equation
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Physics
Branch of physics
Dynamical systems
Centre manifold theorem
Created
2026-09-24
Updated
2026-09-24
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If
a
centre
manifold
is the
graph
v
=
h
(
u
)
for
u
˙
=
f
(
u
,
v
)
and
v
˙
=
g
(
u
,
v
)
, its
coefficients
satisfy
D
h
(
u
)
f
(
u
,
h
(
u
))
=
g
(
u
,
h
(
u
))
.
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(5)
Centre manifold theorem
Dynamical systems
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 78
/
1
/
e
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
/
ii
/
Paper 3
/
14D
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2011
/
ii
/
Paper 3
/
14C
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 3
/
32E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2019
/
ii
/
Paper 4
/
31E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 4
/
32B
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 3
/
31A
/
Solution
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