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Figures index
From
Stability Margins and Low-Codimension Bifurcations of Indirect Filed Oriented Control of Induction Motor
Nizar Jabli, Hedi Khammari, Mohamed Faouzi Mimouni, Sultan Aljahdali
International Transaction of Electrical and Computer Engineers System
.
2013
, 1(1), 6-14 doi:10.12691/iteces-1-1-2
Fig
ure
1.
Equilibrium Point EP1 in phase planes (
x
1
, x
2) and (
x
3
, x
4)
Full size figure and legend
Fig
ure
2.
Equilibrium Point EP2 in phase planes (
x
1
, x
2) and (
x
3
, x
4)
Full size figure and legend
Fig
ure
3.
Attraction basins of Equilibria EP1 and EP2 in (
x
1
, x
2)
Full size figure and legend
Fig
ure
4.
Attraction basins of Equilibria EP1 and EP2 in (
x
3
, x
4)
Full size figure and legend
Fig
ure
5
.
Limit cycles LC1 and LC2 in phase planes (
x
1
, x
2) and (
x
3
, x
4)
Full size figure and legend
Fig
ure
6.
Attraction basins of Limit cycles LC1 and LC2 in (
x
1
, x
2)
Full size figure and legend
Fig
ure
7
. Attraction basins of Limit cycles LC1 and LC2 in (
x
3
, x
4)
Full size figure and legend
Fig
ure
8.
Hopf Bifurcation: phase trajectories in phase planes (
x
1
, x
2) and (
x
3
, x
4). For
kp
= 0
.
4
, ki
= 1 and
TL
= 0
.
5. (a)
k
= 0
.
1, (b )
k
= 0
.
17, (c)
k
= 0
.
18
Full size figure and legend
Fig
ure
9.
Limit point and Neutral Saddle Points
Full size figure and legend
Fig
ure
10.
Saddle-node bifurcation including a Cusp point and a Bogdanov-Taken bifurcation
Full size figure and legend
Fig
ure
11.
Fold and Hopf bifurcation curves in (
k, TL
)-plane
Full size figure and legend
Fig
ure
12.
Limit points and Hopf bifurcation
Full size figure and legend
Fig
ure
13.
Values of k corresponding to a Hopf bifurcation vs.
TL
for different values of
kp
Full size figure and legend
Fig
ure
14.
Values of k corresponding to a Hopf bifurcation vs.
TL
for different values of
ki
Full size figure and legend
Fig
ure
15.
Values of k corresponding to a Hopf bifurcation vs.
T
L
for different values of
kp
and for larger values of
T
L
Full size figure and legend
Fig
ure
16
.
Generalized Hopf bifurcation curves
Full size figure and legend
Fig
ure
17.
Transition Hopf bifurcation-chaotic behaviour
Full size figure and legend