I
n
d
on
e
s
i
an
Jo
u
r
n
al
o
f
El
e
c
t
r
i
c
al
En
gi
n
e
e
r
i
n
g
an
d
C
o
m
p
u
te
r
S
c
i
e
n
c
e
V
o
l
.
22
,
N
o
.
2
,
M
a
y
2021
,
pp
.
69
9
~
707
IS
S
N
:
25
02
-
4752
,
D
O
I
:
10.
1
1591
/
i
j
e
e
c
s
.
v
22
.i
2
.
pp
699
-
707
699
Jou
r
n
al
h
o
m
e
pa
ge
:
ht
t
p:
/
/
i
j
e
e
c
s
.
i
a
e
s
c
or
e
.
c
om
A
n
e
w
2
-
D
m
u
l
t
i
-
st
a
b
l
e
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
a
n
d
i
t
s Mu
l
t
i
S
i
m
e
l
e
c
t
r
o
n
i
c
c
i
r
c
u
i
t
d
e
s
i
g
n
S
u
n
d
ar
ap
an
d
i
an
V
ai
d
y
an
ath
an
1
,
A
c
e
n
g
S
am
b
as
2
,
M
o
h
am
ad
A
fe
n
d
e
e
M
o
h
am
e
d
3
,
M
u
s
tafa
M
am
at
3
,
W.
S
.
M
ad
a
S
an
j
aya
4
,
S
u
d
ar
n
o
5
1
R
e
s
e
a
r
c
h
a
n
d
D
e
v
e
l
o
pm
e
nt
C
e
n
t
r
e
,
V
e
l
T
e
c
h
U
ni
v
e
r
s
i
t
y
,
C
he
nn
a
i
,
T
a
m
i
l
N
a
du,
I
ndi
a
2
D
e
pa
r
t
m
e
n
t
o
f
M
e
c
ha
ni
c
a
l
E
ng
i
ne
e
r
i
ng
,
U
n
i
v
e
r
s
i
t
a
s
M
uh
a
m
m
a
d
i
y
a
h
T
a
s
i
km
a
l
a
y
a
,
I
ndo
ne
s
i
a
3
F
a
c
ul
t
y
of
I
n
f
o
r
m
a
t
i
c
s
a
n
d
C
o
m
pu
t
i
ng
,
U
n
i
v
e
r
s
i
t
i
S
u
l
t
a
n
Z
a
i
na
l
A
bi
d
i
n
,
K
u
a
l
a
T
e
r
e
ng
g
a
nu,
M
a
l
a
y
s
i
a
4
D
e
pa
r
t
e
m
e
n
t
o
f
P
hy
s
i
c
s
,
U
I
N
S
una
n
G
unung
D
j
a
t
i
B
a
ndung
,
I
ndone
s
i
a
5
F
a
c
ul
t
y
of
E
ng
i
ne
e
r
i
ng
,
U
n
i
v
e
r
s
i
t
a
s
M
uha
m
m
a
di
y
a
h
P
o
no
r
o
go
,
I
n
do
ne
s
i
a
A
r
ti
c
l
e
I
n
fo
A
B
S
TR
A
C
T
Ar
t
i
c
l
e
h
i
s
t
or
y
:
R
e
c
e
i
v
e
d
A
ug
26
,
202
0
R
e
v
i
s
e
d
M
a
r
6,
202
1
A
c
c
e
pt
e
d
M
a
r
17,
202
1
A
ne
w
m
ul
t
i
-
s
t
a
bl
e
s
y
s
t
e
m
w
i
t
h
a
do
ub
l
e
-
s
c
r
o
l
l
c
ha
o
t
i
c
a
t
t
r
a
c
t
o
r
i
s
de
v
e
l
o
pe
d
i
n
t
h
i
s
p
a
pe
r
.
S
i
g
na
l
p
l
o
t
s
a
r
e
s
i
m
ul
a
t
e
d
us
i
ng
M
A
T
L
A
B
a
nd
m
ul
t
i
-
s
t
a
bi
l
i
t
y
i
s
e
s
t
a
b
l
i
s
h
e
d
by
s
ho
w
i
ng
t
w
o
di
f
f
e
r
e
nt
c
o
e
xi
s
t
i
ng
do
ubl
e
-
s
c
r
o
l
l
c
ha
o
t
i
c
a
t
t
r
a
c
t
o
r
s
f
o
r
di
f
f
e
r
e
nt
s
t
a
t
e
s
a
nd
s
a
m
e
s
e
t
o
f
pa
r
a
m
e
t
e
r
s
.
U
s
i
n
g
i
nt
e
g
r
a
l
s
l
i
di
ng
c
o
nt
r
o
l
,
s
y
nc
hr
o
ni
z
e
d
c
ha
o
t
i
c
a
t
t
r
a
c
t
o
r
s
a
r
e
a
c
hi
e
v
e
d
be
t
w
e
e
n
dr
i
v
e
-
r
e
s
po
ns
e
c
ha
o
t
i
c
a
t
t
r
a
c
t
o
r
s
.
A
M
ul
t
i
S
i
m
c
i
r
c
ui
t
i
s
de
s
i
g
ne
d
f
o
r
t
he
n
e
w
c
ha
o
t
i
c
a
t
t
r
a
c
t
o
r
,
w
hi
c
h
i
s
us
e
f
u
l
f
o
r
pr
a
c
t
i
c
a
l
e
ng
i
ne
e
r
i
ng
r
e
a
l
i
z
a
t
i
o
ns
.
Ke
y
w
or
d
s
:
Cha
o
s
Cha
o
t
i
c
s
y
s
t
e
m
E
l
e
c
t
r
o
n
i
c
c
i
r
c
u
i
t
Int
e
g
r
a
l
s
l
i
di
ng
c
o
n
t
r
o
l
T
hi
s
i
s
an
ope
n
ac
c
e
s
s
ar
t
i
c
l
e
u
nde
r
t
he
C
C
B
Y
-
SA
l
i
c
e
ns
e
.
Cor
r
e
s
pon
di
n
g
Au
t
h
or
:
M
o
h
a
m
a
d
A
f
e
n
de
e
M
o
h
a
m
e
d
F
a
c
ul
t
y
of
In
f
o
r
m
a
t
i
c
s
a
n
d
Co
m
put
i
n
g
U
n
i
v
e
r
s
i
t
i
S
ul
t
a
n
Z
a
i
n
a
l
A
b
i
di
n
K
ua
l
a
T
e
r
e
ngga
nu,
M
a
l
a
y
s
i
a
E
m
a
i
l
:
m
a
f
e
n
de
e
@
u
n
i
s
z
a
.
e
du
.
m
y
1.
I
N
TR
O
D
U
C
TI
O
N
Cha
o
t
i
c
dy
n
a
m
i
c
a
l
m
o
de
l
s
w
i
t
h
do
ub
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
s
h
a
v
e
b
e
e
n
a
na
l
y
z
e
d
i
n
t
h
e
s
c
i
e
n
c
e
l
i
t
e
r
a
t
u
r
e
[1
],
[
2].
T
h
e
s
e
a
t
t
ra
c
t
o
r
s
r
e
s
e
m
b
l
e
l
i
ke
b
ut
t
e
r
f
l
y
w
i
n
gs
d
ue
t
o
t
h
e
i
r
do
ub
l
e
-
s
c
r
o
l
l
s
h
a
pe
.
E
s
pe
c
i
a
l
l
y
,
t
h
e
d
y
n
a
m
i
c
a
l
p
l
a
nt
s
e
xh
i
b
i
t
i
n
g
m
ul
t
i
-
s
t
a
b
i
l
i
t
y
a
n
d
c
o
h
a
p
pe
ni
ng
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
s
h
a
v
e
be
e
n
s
t
udi
e
d
[3
],
[
4]
.
E
n
gi
n
e
e
r
i
n
g
f
i
e
l
ds
h
a
v
e
m
a
n
y
ut
i
l
i
z
a
t
i
o
n
s
o
f
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
s
[2].
S
o
m
e
c
o
m
m
o
n
u
t
i
l
i
z
a
t
i
o
n
s
a
r
e
e
nl
i
s
t
e
d
s
uc
h
a
s
o
s
c
i
l
l
a
t
i
o
n
s
[5
],
[
6]
,
v
i
b
r
a
t
i
o
n
s
[7]
,
n
e
u
r
o
n
m
o
de
l
s
[8
],
[
9]
,
c
o
n
t
r
o
l
a
n
d
m
e
m
ri
s
t
o
r
m
o
de
l
s
[10
]
-
[
12],
m
e
c
h
a
ni
c
a
l
a
t
t
ra
c
t
o
r
s
[13
]
,
[
14]
.
In
t
h
e
c
o
n
t
r
o
l
l
i
t
e
r
a
t
u
r
e
,
t
h
e
r
e
a
r
e
m
a
n
y
c
o
n
t
r
o
l
t
e
c
hni
que
s
a
v
a
i
l
a
b
l
e
fo
r
t
h
e
c
o
n
t
r
o
l
a
nd
s
y
n
c
hr
o
ni
z
a
t
i
o
n
o
f
c
h
a
o
t
i
c
s
y
s
t
e
m
s
[2].
B
a
h
o
o
a
n
d
P
o
r
i
a
[13]
us
e
d
a
c
t
i
v
e
c
o
n
t
r
o
l
m
e
t
h
o
d
f
o
r
foo
d
c
h
a
i
n
m
o
de
l
.
M
us
t
a
f
a
e
t
a
l
.
[
14]
us
e
d
c
h
a
o
s
-
e
nha
n
c
e
d
c
uc
k
o
o
s
e
a
r
c
h
f
o
r
e
c
o
n
o
m
i
c
di
s
pa
t
c
h
w
i
t
h
v
a
l
v
e
po
i
n
t
e
ffe
c
t
s
.
V
a
i
dy
a
n
a
t
ha
n
a
n
d
R
a
s
a
p
pa
n
[
15]
us
e
d
a
c
t
i
v
e
c
o
n
t
r
o
l
f
o
r
t
h
e
h
y
b
r
i
d
s
y
n
c
hr
o
n
i
z
a
t
i
o
n
o
f
h
y
pe
r
c
h
a
o
t
i
c
Q
i
a
n
d
L
ü
s
y
s
t
e
m
s
.
V
a
i
dy
a
na
t
ha
n
[1
6]
us
e
d
a
c
t
i
v
e
c
o
n
t
r
o
l
f
o
r
s
t
a
b
i
l
i
z
i
n
g
t
h
e
s
t
a
t
e
t
ra
j
e
c
t
o
r
i
e
s
of
a
n
e
w
h
y
pe
r
c
h
a
o
t
i
c
s
y
s
t
e
m
w
i
t
h
t
hr
e
e
qua
d
ra
t
i
c
n
o
n
l
i
n
e
a
r
i
t
i
e
s
.
M
e
d
ha
f
f
a
r
e
t
al
.
[17
]
i
n
v
e
s
t
i
ga
t
e
d
t
h
e
s
t
a
b
i
l
i
z
a
t
i
o
n
o
f
un
s
t
a
b
l
e
pe
ri
o
di
c
o
r
b
i
t
s
o
f
c
o
n
t
i
n
uo
us
t
i
m
e
c
ha
o
t
i
c
s
y
s
t
e
m
s
us
i
ng
a
d
a
p
t
i
v
e
f
uz
z
y
c
o
n
t
r
o
l
l
e
r
s
.
B
o
ube
l
l
o
ut
a
a
nd
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
,
V
o
l
.
22
,
N
o
.
2
,
M
a
y
202
1
:
699
-
70
7
700
Bo
ul
kr
o
u
n
e
[18]
i
n
v
e
s
t
i
ga
t
e
d
t
h
e
pr
o
b
l
e
m
o
f
c
h
a
o
s
s
y
n
c
h
r
o
ni
z
a
t
i
o
n
b
a
s
e
d
o
n
f
r
a
c
t
i
o
n
a
l
-
o
r
de
r
i
nt
e
l
l
i
ge
nt
s
l
i
di
ng
-
m
o
de
c
o
n
t
r
o
l
a
pp
r
o
a
c
h
f
o
r
a
c
l
a
s
s
o
f
f
r
a
c
t
i
o
n
a
l
-
o
rde
r
c
h
a
o
t
i
c
o
pt
i
c
a
l
s
y
s
t
e
m
s
w
i
t
h
u
n
k
n
o
w
n
dy
n
a
m
i
c
s
a
n
d
di
s
t
u
r
b
a
n
c
e
s
.
V
a
i
dy
a
n
a
t
h
a
n
[
19]
s
t
ud
i
e
d
t
h
e
gl
o
b
a
l
c
h
a
o
s
s
y
n
c
hr
o
n
i
z
a
t
i
o
n
o
f
T
o
ka
m
a
k
c
h
a
o
t
i
c
s
y
s
t
e
m
s
w
i
t
h
s
y
m
m
e
t
r
i
c
a
nd
m
a
g
n
e
t
i
c
a
l
l
y
c
o
n
f
i
n
e
d
pl
a
s
m
a
.
K
h
a
n
a
n
d
K
u
m
a
r
[
20]
s
t
ud
i
e
d
t
h
e
T
–
S
f
uz
z
y
ob
s
e
r
ve
d
b
a
s
e
d
de
s
i
gn
a
n
d
s
y
n
c
hr
o
ni
z
a
t
i
o
n
o
f
c
ha
o
t
i
c
a
nd
h
y
pe
r
-
c
ha
o
t
i
c
dy
n
a
m
i
c
a
l
s
y
s
t
e
m
s
.
T
h
e
n
o
v
e
l
t
y
of
t
hi
s
w
o
r
k
i
s
t
h
e
m
o
de
l
l
i
n
g
a
n
e
w
do
ub
l
e
-
sc
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
w
i
t
h
i
nt
e
r
e
s
t
i
n
g
d
y
n
a
m
i
c
p
r
o
pe
r
t
i
e
s
.
T
h
e
s
i
g
n
a
l
pl
o
t
s
,
dy
n
a
m
i
c
a
l
p
r
o
pe
r
t
i
e
s
a
n
d
m
ul
t
i
-
s
t
a
b
i
l
i
t
y
w
i
t
h
c
o
h
a
p
pe
ni
n
g
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
s
a
r
e
r
e
po
r
t
e
d
f
o
r
t
h
e
n
e
w
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r.
F
o
r
pra
c
t
i
c
a
l
r
e
a
l
i
z
a
t
i
o
n
s
,
a
n
e
l
e
c
t
r
o
ni
c
c
i
r
c
ui
t
i
s
i
m
m
e
n
s
e
l
y
us
e
f
ul
a
f
t
e
r
t
h
e
m
o
de
l
l
i
n
g
o
f
a
n
e
w
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
[21
]
-
[
2
6].
A
M
ul
t
i
S
i
m
e
l
e
c
t
r
o
n
i
c
c
i
r
c
u
i
t
m
o
de
l
of
t
h
e
n
e
w
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
i
s
c
a
rri
e
d
o
ut
a
n
d
a
go
o
d
m
a
t
c
h
b
e
t
w
e
e
n
t
h
e
M
u
l
t
i
S
i
m
c
i
r
c
u
i
t
o
ut
pu
t
s
a
n
d
t
h
e
M
A
T
L
A
B
s
i
g
n
a
l
pl
o
t
s
ha
s
b
e
e
n
f
o
un
d.
2.
A
N
E
W
D
O
U
B
L
E
-
S
C
R
O
LL
M
U
LTI
-
S
TA
B
L
E
C
H
A
O
TI
C
A
TTR
A
C
TO
R
W
e
f
i
r
s
t
g
i
v
e
t
h
e
dy
n
a
m
i
c
s
o
f
a
n
e
w
s
y
s
t
e
m
de
s
c
r
i
b
e
d
a
s
f
o
l
l
ow
s
:
1
2
1
2
3
2
2
1
3
3
1
2
3
2
()
||
p
p
p
p
p
p
p
p
p
p
p
p
p
p
(
1
)
W
e
n
o
t
e
t
ha
t
(
,
,
,
)
i
s
t
he
pa
r
a
m
e
t
e
r
a
n
d
1
2
3
(
,
,
)
P
p
p
p
i
s
t
he
ph
a
s
e
ve
c
t
o
r
.
U
s
i
n
g
W
o
l
f
’s
a
pp
r
o
a
c
h
[2
7]
,
w
e
w
i
l
l
s
h
o
w
t
h
a
t
t
h
e
m
o
de
l
(
1)
w
i
l
l
e
x
hi
b
i
t
a
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
f
o
r
(
,
,
,
)
(
4
0
,
2
6
,
5
,
0
.
2
)
.
(2)
F
o
r
M
A
T
L
A
B
s
i
m
u
l
a
t
i
o
n
s
,
t
h
e
i
n
i
t
i
a
l
p
h
a
s
e
v
e
c
t
o
r
i
s
c
h
o
s
e
n
a
s
(0
)
(0
.
1
,
0
.
3
,
0
.
2
)
.
P
T
h
e
n
t
h
e
L
y
a
pun
o
v
i
n
d
i
c
e
s
of
(1)
a
r
e
e
s
t
i
m
a
t
e
d
us
i
n
g
W
o
l
f
’s
a
pp
r
o
a
c
h
[27]
a
s
f
o
l
l
ow
s
:
1
2
3
3
.
9
1
2
5
,
0
,
2
2
.
9
1
2
5
LE
LE
LE
(3)
U
s
i
n
g
(3)
,
i
t
i
s
c
o
n
c
l
ude
d
t
h
a
t
t
h
e
m
o
de
l
(1)
h
a
s
c
ha
o
t
i
c
i
t
y
a
nd
di
s
s
i
pa
t
i
v
i
t
y
.
T
h
e
do
ub
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
o
f
t
h
e
m
o
de
l
(1)
i
s
s
i
m
u
l
a
t
e
d
i
n
v
a
r
i
o
us
pl
a
n
e
s
i
n
F
i
gu
r
e
1
.
T
h
e
b
a
l
a
n
c
e
po
i
nt
s
o
f
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
(1
)
fo
r
(
,
,
,
)
(
4
0
,
2
6
,
5
,
0
.
2
)
a
r
e
c
a
l
c
ul
a
t
e
d
a
s
be
l
ow
:
0
1
2
0
1
1
.
3
0
2
2
1
1
.
3
0
2
2
0
,
7
.
8
0
1
7
,
7
.
8
0
1
7
0
1
7
.
9
4
7
3
1
7
.
9
4
7
3
P
P
P
(
4
)
By
f
i
n
d
i
n
g
s
pe
c
t
ra
l
v
a
l
ue
s
o
f
t
h
e
l
i
n
e
a
ri
z
a
t
i
o
n
m
a
t
r
i
c
e
s
of
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
s
y
s
t
e
m
(1),
i
t
c
a
n
b
e
a
s
c
e
r
t
a
i
n
e
d
t
h
a
t
t
h
e
b
a
l
a
n
c
e
po
i
nt
0
P
i
s
a
s
a
ddl
e
po
i
nt
,
a
nd
12
,
PP
a
r
e
s
a
ddl
e
-
f
o
c
i
.
W
e
n
e
xt
de
m
o
n
s
t
ra
t
e
t
ha
t
t
h
e
n
e
w
do
ub
l
e
-
s
c
r
o
l
l
s
y
s
t
e
m
(1)
ha
s
c
o
h
a
p
pe
ni
n
g
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
s
.
W
h
e
n
s
e
l
e
c
t
i
n
g
(
,
,
,
)
(
4
0
,
2
6
,
5
,
0
.
2
)
,
a
n
d
t
h
e
i
ni
t
i
a
l
p
ha
s
e
ve
c
t
o
r
s
0
(
0
.
1
,
0
.
3
,
0
.
2
)
P
(b
l
ue
)
a
nd
0
(
0
.
5
,
0
.
3
,
0
.
5
)
Q
(r
e
d)
,
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
(
1)
de
pi
c
t
s
c
o
h
a
ppe
n
i
ng
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
(b
l
ue
)
a
n
d
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
(
r
e
d)
a
s
p
l
o
t
t
e
d
i
n
F
i
gu
r
e
2.
Evaluation Warning : The document was created with Spire.PDF for Python.
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
IS
S
N
:
2502
-
4752
A
n
e
w
2
-
D
m
ul
t
i
-
s
t
ab
l
e
c
haot
i
c
a
t
t
r
ac
t
or
and
i
t
s
Mu
l
t
i
Si
m
e
l
e
c
t
r
o
ni
c
…
(
Sundar
apan
di
an
V
ai
d
y
ana
t
han
)
701
(a
)
(b
)
(c
)
(d)
F
i
gu
r
e
1.
M
A
T
L
A
B
pha
s
e
pl
o
t
s
s
h
o
w
i
n
g
do
ub
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
o
f
t
h
e
m
o
de
l
(
1)
(a
)
(b
)
F
i
gu
r
e
2
.
M
u
l
t
i
-
s
t
a
b
i
l
i
t
y
of
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
(
1
):
Co
h
a
p
pe
ni
n
g
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
s
3.
I
N
TEG
R
A
L
S
LI
D
I
N
G
C
O
N
TR
O
L
D
ES
I
G
N
F
O
R
TH
E
P
H
A
S
E
S
Y
N
C
H
R
O
N
I
ZA
TI
O
N
O
F
D
O
U
B
LE
-
S
C
R
O
LL
C
H
A
O
TI
C
A
TTR
A
C
T
O
R
S
F
o
r
t
h
e
p
h
a
s
e
s
y
n
c
hr
o
ni
z
a
t
i
o
n
o
f
do
u
b
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
,
w
e
c
o
n
s
i
de
r
a
pa
i
r
o
f
dr
i
v
e
-
r
e
s
po
n
s
e
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
s
l
i
s
t
e
d
a
s
f
o
l
l
ow
s
.
1
2
1
2
3
2
2
1
3
3
1
2
3
2
()
||
p
p
p
p
p
p
p
p
p
p
p
p
p
p
(
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
,
V
o
l
.
22
,
N
o
.
2
,
M
a
y
202
1
:
699
-
70
7
702
1
2
1
2
3
1
2
2
1
3
2
3
1
2
3
2
3
()
||
q
q
q
q
q
v
q
q
q
q
v
q
q
q
q
q
v
(
6
)
T
h
e
p
ha
s
e
s
y
n
c
h
r
o
n
i
z
a
t
i
o
n
e
rr
o
r
b
e
t
w
e
e
n
(5)
a
n
d
(6)
c
a
n
b
e
de
f
i
n
e
d
a
s
b
e
l
ow
:
111
222
333
qp
qp
qp
(
7
)
A
s
i
m
p
l
e
c
a
l
c
u
l
a
t
i
o
n
pi
npo
i
n
t
s
t
h
e
dy
n
a
m
i
c
s
o
f
t
h
e
p
h
a
s
e
s
y
n
c
hr
o
ni
z
a
t
i
o
n
e
rr
o
r
a
s
b
e
l
ow
:
1
2
1
2
3
2
3
1
2
2
1
3
1
3
2
3
3
1
2
1
2
2
2
3
()
|
|
|
|
q
q
p
p
v
q
q
p
p
v
q
q
p
p
q
p
v
(
8
)
W
e
de
f
i
n
e
t
h
e
i
nt
e
g
r
a
l
s
l
i
d
i
n
g
s
u
r
f
a
c
e
a
s
s
o
c
i
a
t
e
d
w
i
t
h
e
a
c
h
e
rr
o
r
v
a
r
i
a
b
l
e
a
s
b
e
l
o
w
:
1
1
1
1
1
1
00
2
2
2
2
2
2
00
3
3
3
3
3
3
00
(
)
(
)
(
)
(
)
(
)
(
)
tt
tt
tt
d
z
d
z
d
dt
d
z
d
z
d
dt
d
z
d
z
d
dt
(
9
)
T
a
k
i
n
g
t
i
m
e
-
de
ri
v
a
t
i
v
e
o
f
a
l
l
t
h
e
o
f
(9),
w
e
ob
t
a
i
n
a
s
b
e
l
ow
:
1
1
1
1
2
2
2
2
3
3
3
3
z
z
z
(
10
)
W
e
t
a
ke
1
2
3
,,
a
s
po
si
t
i
ve
c
on
st
a
n
t
s.
N
e
xt
,
w
e
s
e
t
t
h
e
dy
n
a
m
i
c
s
o
f
t
h
e
s
l
i
d
i
n
g
v
a
r
i
a
b
l
e
s
a
s
f
o
l
l
ow
s
:
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
sg
n
(
)
sg
n
(
)
sg
n
(
)
z
z
z
z
z
z
z
z
z
(
11
)
F
r
o
m
(
10)
a
n
d
(11
),
w
e
de
duc
e
t
h
e
f
o
l
l
ow
i
n
g:
1
1
1
1
1
1
1
2
2
2
2
2
2
2
3
3
3
3
3
3
3
sgn
(
)
sgn
(
)
sgn
(
)
e
e
s
k
s
e
e
s
k
s
e
e
s
k
s
(
12
)
Co
m
b
i
n
i
ng
(8
)
a
n
d
(12)
,
w
e
o
b
t
a
i
n
t
h
e
f
o
l
l
o
w
i
n
g:
2
1
2
3
2
3
1
1
1
1
1
1
1
2
1
3
1
3
2
2
2
2
2
2
2
3
1
2
1
2
2
2
3
3
3
3
3
3
3
(
)
sgn(
)
sgn(
)
|
|
|
|
sgn(
)
q
q
p
p
v
z
z
q
q
p
p
v
z
z
q
q
p
p
q
p
v
e
z
z
(
13
)
Evaluation Warning : The document was created with Spire.PDF for Python.
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
IS
S
N
:
2502
-
4752
A
n
e
w
2
-
D
m
ul
t
i
-
s
t
ab
l
e
c
haot
i
c
a
t
t
r
ac
t
or
and
i
t
s
Mu
l
t
i
Si
m
e
l
e
c
t
r
o
ni
c
…
(
Sundar
apan
di
an
V
ai
d
y
ana
t
han
)
703
T
h
e
i
nt
e
g
r
a
l
s
l
i
di
ng
c
o
nt
r
o
l
s
a
r
e
de
duc
e
d
f
r
o
m
(13)
a
s
b
e
l
ow
:
1
2
1
2
3
2
3
1
1
1
1
1
1
2
2
1
3
1
3
2
2
2
2
2
2
3
3
1
2
1
2
2
2
3
3
3
3
3
3
(
)
sgn(
)
sgn(
)
|
|
|
|
sgn(
)
v
q
q
p
p
z
z
v
e
q
q
p
p
z
z
v
e
q
q
p
p
q
p
z
z
(
14
)
T
he
or
e
m
1
.
T
h
e
i
nt
e
gra
l
s
l
i
di
ng
c
o
n
t
r
o
l
l
a
w
de
f
i
n
e
d
by
(14)
a
c
h
i
e
v
e
s
t
h
e
gl
o
b
a
l
ph
a
s
e
c
ha
o
s
s
y
n
c
hr
o
ni
z
a
t
i
o
n
b
e
t
w
e
e
n
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
s
(5)
a
n
d
(6)
,
w
h
e
r
e
t
h
e
c
o
n
s
t
a
n
t
s
,
,
,
i
i
i
(
1
,
2
,
3
)
i
a
r
e
a
l
l
po
s
i
t
i
v
e
.
P
r
oof
.
F
i
r
s
t
,
a
s
a
po
s
i
t
i
v
e
de
f
i
ni
t
e
L
i
a
pu
n
o
v
f
un
c
t
i
o
n
c
a
n
di
da
t
e
,
w
e
c
h
o
o
s
e
t
h
e
f
un
c
t
i
o
n
222
1
2
3
1
2
3
(
,
,
)
0
.
5
W
z
z
z
z
z
z
(
15
)
W
e
c
a
l
c
ul
a
t
e
t
h
e
t
i
m
e
-
de
r
i
v
a
t
i
v
e
of
W
a
s
b
e
l
ow
:
1
1
2
2
3
3
W
z
z
z
z
z
z
(
16
)
Co
m
b
i
n
i
ng
(1
1)
a
n
d
(
16
)
,
w
e
ge
t
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
[
s
g
n
(
)
]
[
s
g
n
(
)
]
[
s
g
n
(
)
]
W
z
z
z
z
z
z
z
z
z
(
17
)
S
i
m
pl
i
fy
i
n
g
(
17
)
,
w
e
o
b
t
a
i
n
2
2
2
1
1
1
1
2
2
2
2
3
3
3
3
W
z
z
z
z
z
z
(
18
)
S
i
n
c
e
1
2
3
,
,
0
a
n
d
1
2
3
,
,
0
,
w
e
s
e
e
t
h
a
t
W
i
s
a
n
e
ga
t
i
v
e
de
f
i
n
i
t
e
f
u
n
c
t
i
o
n
.
F
r
o
m
L
i
a
pu
n
o
v
s
t
a
b
i
l
i
t
y
t
h
e
o
r
y
[
28
],
w
e
f
i
n
d
1
2
3
(
(
)
,
(
)
,
(
)
)
(
0
,
0
,
0
)
z
t
z
t
z
t
a
s
.
t
H
e
n
c
e
,
w
e
ob
s
e
r
v
e
t
ha
t
1
2
3
(
(
)
,
(
)
,
(
)
)
(
0
,
0
,
0
)
t
t
t
a
s
.
t
F
o
r
M
A
T
L
A
B
s
i
m
u
l
a
t
i
o
n
s
,
w
e
a
s
s
um
e
t
h
e
p
a
r
a
m
e
t
e
r
v
e
c
t
o
r
as
i
n
t
h
e
c
ha
o
t
i
c
c
a
s
e
,
v
i
z
.
(
,
,
,
)
(
4
0
,
2
6
,
5
,
0
.
2
)
.
We
a
l
s
o
a
s
s
u
m
e
t
h
e
ga
i
n
s
a
s
0
.
1
,
i
0
.
1
,
i
a
n
d
20
i
f
o
r
1
,
2
,
3
.
i
T
h
e
i
ni
t
i
a
l
s
t
a
t
e
of
t
h
e
dr
i
v
e
s
y
s
t
e
m
(
5)
i
s
pi
c
ke
d
a
s
1
2
3
(
(
0
)
,
(
0
)
,
(
0
)
)
(
3
,
0
.5
,
2
)
p
p
p
a
n
d
t
h
e
i
n
i
t
i
a
l
s
t
a
t
e
of
t
h
e
r
e
s
po
n
s
e
s
y
s
t
e
m
(
6
)
i
s
pi
c
ke
d
a
s
1
2
3
(
(
0
)
,
(
0
)
,
(
0
)
)
(
1
.
5
,
0
.
9
,
4
.
2
)
.
q
q
q
F
i
gu
r
e
3
s
h
o
w
s
t
h
e
p
ha
s
e
s
y
n
c
hr
o
n
i
z
a
t
i
o
n
e
rr
o
r
b
e
t
w
e
e
n
s
y
s
t
e
m
s
(
5
)
a
n
d
(
6
).
F
i
gu
r
e
3
.
T
h
e
p
ha
s
e
s
y
n
c
hr
o
n
i
z
a
t
i
o
n
e
rr
o
r
b
e
t
w
e
e
n
t
h
e
s
y
s
t
e
m
s
(5)
a
nd
(6)
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
,
V
o
l
.
22
,
N
o
.
2
,
M
a
y
202
1
:
699
-
70
7
704
4.
M
U
L
T
IS
IM
C
IRC
U
IT
D
E
S
IG
N
O
F
T
H
E
N
E
W
D
O
U
B
L
E
-
S
C
R
O
L
L
A
T
T
R
A
C
T
O
R
T
h
e
M
ul
t
i
S
i
m
e
l
e
c
t
r
o
n
i
c
c
i
r
c
ui
t
o
f
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
a
t
t
r
a
c
t
o
r
(1)
i
s
r
e
a
l
i
z
e
d
by
us
i
n
g
o
ff
-
t
h
e
-
s
h
e
l
f
c
o
m
po
n
e
n
t
s
s
uc
h
a
s
r
e
s
i
s
t
o
r
s
,
c
a
p
a
c
i
t
o
r
s
,
o
pe
r
a
t
i
o
na
l
a
m
pl
i
f
i
e
r
s
a
n
d
a
na
l
o
g
m
ul
t
i
p
l
i
e
r
s
.
T
h
e
p
h
a
s
e
s
p
1
,
p
2
,
p
3
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
a
t
t
r
a
c
t
o
r
(1)
a
r
e
t
h
e
v
o
l
t
a
ge
s
a
c
r
o
s
s
t
h
e
c
a
p
a
c
i
t
o
r
s
C
1
,
C
2
a
n
d
C
3
,
r
e
s
pe
c
t
i
v
e
l
y
.
T
h
e
e
l
e
c
t
r
o
n
i
c
c
i
r
c
ui
t
o
f
t
h
e
n
e
w
do
u
b
l
e
-
s
c
r
o
l
l
a
t
t
ra
c
t
o
r
i
s
r
e
a
l
i
z
e
d
i
n
M
u
l
t
i
S
i
m
b
y
19
r
e
s
i
s
t
o
r
s
,
8
o
pe
ra
t
i
o
n
a
l
a
m
p
l
i
f
i
e
r
s
(T
L
082CD
),
3
m
ul
t
i
p
l
i
e
r
s
(A
D
633J
N
)
,
2
di
o
d
e
s
(1N
4148)
a
n
d
3
c
a
p
a
c
i
t
o
r
s
.
B
y
t
h
e
us
e
of
K
i
r
c
hh
o
f
f
’s
c
i
r
c
ui
t
l
a
w
s
i
nt
o
t
h
e
c
i
r
c
ui
t
i
n
F
i
gu
r
e
4
,
i
t
s
c
i
r
c
ui
t
a
l
e
qua
t
i
o
n
s
a
r
e
o
b
t
a
i
n
e
d
a
s
(1
9)
:
1
2
1
2
3
1
1
1
2
1
3
2
2
1
3
2
4
2
5
3
1
2
3
2
3
6
3
7
3
8
1
1
1
10
11
10
1
1
1
||
10
p
p
p
p
p
C
R
C
R
C
R
p
p
p
p
C
R
C
R
p
p
p
p
p
C
R
C
R
C
R
(
19
)
We
s
e
l
e
c
t
e
d
R
1
=
R
2
=
1
0
kΩ
,
R
3
=
R
5
=
R
6
=
40
kΩ
,
R
4
=
1
5.
384
kΩ
,
R
7
=
8
0
kΩ
,
R
8
=
2
M
Ω,
R
9
=
R
1
0
=
R
11
=
R
12
=
R
1
3
=
R
1
4
=
R
1
5
=
R
1
6
=
R
1
7
=
R
18
=
R
1
9
=
10
0
kΩ
,
C
1
=
C
2
=
C
3
=
3
.
2
n
F
.
F
i
gu
r
e
s
5
-
7
w
i
t
h
M
u
l
t
i
S
i
m
o
ut
put
s
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
(
19)
e
x
h
i
b
i
t
a
go
o
d
m
a
t
c
h
w
i
t
h
t
h
e
M
A
T
L
A
B
o
ut
put
s
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
r
a
c
t
o
r
(1)
s
h
o
w
n
i
n
F
i
gu
r
e
1.
F
i
gu
r
e
4.
T
h
e
c
i
r
c
ui
t
s
c
h
e
m
a
t
i
c
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
(19)
(N
o
t
e
:
p
1
,
p
2
,
p
3
=
x
1
,
x
2
,
x
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
IS
S
N
:
2502
-
4752
A
n
e
w
2
-
D
m
ul
t
i
-
s
t
ab
l
e
c
haot
i
c
a
t
t
r
ac
t
or
and
i
t
s
Mu
l
t
i
Si
m
e
l
e
c
t
r
o
ni
c
…
(
Sundar
apan
di
an
V
ai
d
y
ana
t
han
)
705
F
i
gu
r
e
5.
M
u
l
t
i
S
im
o
ut
pu
t
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
c
i
r
c
ui
t
(
19
)
in
12
(
,
)
pp
pl
a
n
e
F
i
gu
r
e
6.
M
ul
t
i
S
im
o
ut
put
o
f
t
h
e
do
ub
l
e
-
s
c
r
o
l
l
c
i
r
c
ui
t
(
19
)
in
23
(
,
)
pp
pl
a
n
e
F
i
gu
r
e
7.
M
u
l
t
i
S
im
o
ut
pu
t
o
f
t
h
e
c
ha
o
t
i
c
c
i
r
c
ui
t
(
19
)
in
13
(
,
)
pp
pl
a
n
e
Evaluation Warning : The document was created with Spire.PDF for Python.
IS
S
N
:
2502
-
4752
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
,
V
o
l
.
22
,
N
o
.
2
,
M
a
y
202
1
:
699
-
70
7
706
5.
C
O
N
C
LU
S
I
O
N
In
t
h
i
s
p
a
pe
r
,
a
n
e
w
m
ul
t
i
-
s
t
a
b
l
e
s
y
s
t
e
m
w
i
t
h
a
do
ub
l
e
-
s
c
r
o
l
l
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
i
s
de
v
e
l
o
pe
d
a
n
d
de
t
a
i
l
e
d
.
S
i
g
n
a
l
pl
o
t
s
w
e
r
e
s
i
m
ul
a
t
e
d
us
i
n
g
M
A
T
L
A
B
a
n
d
m
ul
t
i
-
s
t
a
b
i
l
i
t
y
wa
s
e
s
t
a
b
l
i
s
h
e
d
by
s
h
ow
i
n
g
t
w
o
di
f
fe
r
e
nt
c
o
e
xi
s
t
i
ng
do
ub
l
e
-
s
c
r
o
l
l
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
s
f
o
r
di
f
fe
r
e
nt
s
t
a
t
e
s
a
nd
s
a
m
e
s
e
t
o
f
pa
ra
m
e
t
e
r
s
.
U
s
i
n
g
i
n
t
e
g
r
a
l
s
l
i
d
i
n
g
c
o
n
t
r
o
l
,
s
y
n
c
hr
o
n
i
z
e
d
c
ha
o
t
i
c
a
t
t
ra
c
t
o
r
s
a
r
e
a
c
hi
e
v
e
d
b
e
t
w
e
e
n
dri
v
e
-
r
e
s
po
n
s
e
c
h
a
o
t
i
c
a
t
t
ra
c
t
o
r
s
.
A
M
u
l
t
i
S
i
m
e
l
e
c
t
r
o
n
i
c
c
i
r
c
ui
t
wa
s
de
s
i
g
n
e
d
f
o
r
t
h
e
n
e
w
do
ub
l
e
-
s
c
r
o
l
l
a
t
t
r
a
c
t
o
r
,
w
h
i
c
h
i
s
us
e
f
ul
f
o
r
pra
c
t
i
c
a
l
e
n
gi
n
e
e
r
i
ng
r
e
a
l
i
z
a
t
i
o
n
s
.
A
C
K
N
O
WL
ED
G
E
M
EN
TS
T
h
i
s
p
r
o
j
e
c
t
i
s
f
un
de
d
by
t
h
e
Ce
n
t
e
r
f
o
r
Re
s
e
a
r
c
h
E
xc
e
l
l
e
n
c
e
,
In
c
ub
a
t
i
o
n
M
a
na
ge
m
e
n
t
Ce
nt
e
r
,
U
n
i
v
e
r
s
i
t
i
S
ul
t
a
n
Z
a
i
n
a
l
A
b
i
di
n.
R
EF
ER
EN
C
ES
[
1]
S
.
V
a
i
dy
a
na
t
h
a
n
a
nd
C
.
V
o
l
o
s
,
“
A
dv
a
nc
e
s
a
nd
A
ppl
i
c
a
t
i
o
ns
i
n
C
ha
o
t
i
c
S
y
s
t
e
m
s
”
,
B
e
r
l
i
n
,
G
e
r
m
a
ny
,
S
pr
i
ng
e
r
,
2016
,
do
i
:
10.
1007
/
9
78
-
3
-
319
-
3027
9
-
9
.
[
2]
J
.
C
.
S
pr
o
t
t
,
“
E
l
e
g
a
n
t
C
ha
o
s
:
A
l
g
e
br
a
i
c
a
l
l
y
S
i
m
pl
e
C
ha
o
t
i
c
F
l
o
w
s
”,
S
i
ng
a
po
r
e
,
W
o
r
l
d
S
c
i
e
n
t
i
f
i
c
,
201
0,
do
i
:
10.
1
142
/
718
3
.
[
3]
A
.
S
a
m
ba
s
,
e
t
al
.
,
“
A
ne
w
do
ubl
e
-
w
i
ng
c
ha
o
t
i
c
s
y
s
t
e
m
w
i
t
h
c
o
e
xi
s
t
i
ng
a
t
t
r
a
c
t
o
r
s
a
nd
l
i
ne
e
qu
i
l
i
b
r
i
um
:
B
i
f
ur
c
a
t
i
o
n
a
na
l
y
s
i
s
a
nd
e
l
e
c
t
r
o
ni
c
c
i
r
c
ui
t
s
i
m
u
l
a
t
i
o
n
,
”
I
E
E
E
A
c
c
e
s
s
,
vo
l
.
7,
pp
.
11545
4
-
11546
2
,
20
19
,
do
i
:
10.
1
109
/
A
C
C
E
S
S
.
201
9.
2933
456
.
[
4]
A
.
S
a
m
ba
s
,
e
t
a
l
.
,
“
A
3
-
D
m
ul
t
i
-
s
t
a
b
l
e
s
y
s
t
e
m
w
i
t
h
a
pe
a
nu
t
-
s
h
a
pe
d
e
qui
l
i
br
i
um
c
ur
v
e
:
C
i
r
c
ui
t
de
s
i
g
n,
F
P
G
A
r
e
a
l
i
z
a
t
i
o
n,
a
nd
a
n
a
pp
l
i
c
a
t
i
o
n
t
o
i
m
a
g
e
e
nc
r
y
p
t
i
o
n
,
”
I
E
E
E
A
c
c
e
s
s
,
v
o
l
.
8,
p
p.
1
3711
6
-
13713
2,
2
020
,
do
i
:
10.
1
109
/
A
C
C
E
S
S
.
202
0.
3011
724
.
[
5]
L
.
M
i
n
a
t
i
,
e
t
al
.
,
“
A
c
ha
o
t
i
c
c
i
r
c
ui
t
ba
s
e
d
o
n
a
phy
s
i
c
a
l
m
e
m
r
i
s
t
o
r
,
”
C
hao
s
,
S
ol
i
t
ons
&
F
r
ac
t
a
l
s
,
v
o
l
.
1
38
,
p
.
10999
0
,
20
20
,
do
i
:
10.
1016
/
j
.
c
ha
o
s
.
202
0.
1
0999
0
.
[
6]
X
.
Z
ha
ng
,
e
t
al
.
,
“
A
m
e
m
r
i
s
t
i
v
e
c
ha
o
t
i
c
o
s
c
i
l
l
a
t
o
r
w
i
t
h
c
o
nt
r
o
l
l
a
b
l
e
a
m
pl
i
t
u
de
a
nd
f
r
e
q
ue
nc
y
,
”
C
hao
s
,
So
l
i
t
o
ns
&
F
r
ac
t
a
l
s
,
v
o
l
.
139
,
p.
1
1000
0
,
20
20
,
do
i
:
10
.
101
6/
j
.
c
ha
o
s
.
202
0.
1
10
000
.
[
7]
B
.
S
h
i
a
nd
J
.
Y
a
ng
,
“
Q
ua
nt
i
f
i
c
a
t
i
o
n
o
f
v
i
br
a
t
i
o
n
f
o
r
c
e
a
nd
po
w
e
r
f
l
o
w
t
r
a
ns
m
i
s
s
i
o
n
b
e
t
w
e
e
n
c
o
upl
e
d
no
nl
i
n
e
a
r
o
s
c
i
l
l
a
t
o
r
s
,”
I
nt
e
r
n
at
i
on
al
J
our
na
l
o
f
D
y
nam
i
c
s
an
d
C
on
t
r
o
l
,
v
o
l
.
8,
no
.
2,
pp.
418
-
43
5
,
2020
,
do
i
:
10.
10
07
/
s
4
0435
-
019
-
0056
0
-
7
.
[
8]
S
.
S
.
S
a
j
j
a
di
,
e
t
a
l
.
,
“
A
ne
w
a
da
pt
i
v
e
s
y
nc
hr
o
ni
z
a
t
i
o
n
a
nd
hy
pe
r
c
ha
o
s
c
o
nt
r
o
l
o
f
a
bi
o
l
o
g
i
c
a
l
s
na
p
o
s
c
i
l
l
a
t
o
r
,
”
C
haos
,
So
l
i
t
on
s
&
F
r
ac
t
al
s
,
v
o
l
.
1
38
,
a
r
t
.
i
d.
1
0991
9,
20
20,
do
i
:
10.
1016
/
j
.
c
ha
o
s
.
2
020
.
109
919
.
[
9]
S
.
V
a
i
dy
a
na
t
h
a
n
,
“
A
da
pt
i
v
e
c
o
nt
r
o
l
o
f
t
he
F
i
t
z
H
ug
h
-
N
a
g
um
o
c
h
a
o
t
i
c
ne
ur
o
n
m
o
de
l
,”
I
nt
e
r
na
t
i
ona
l
J
ou
r
na
l
of
P
har
m
T
e
c
h
R
e
s
e
ar
c
h
,
v
o
l
.
8
,
no
. 6
,
pp
.
117
-
127
,
201
5
.
[
10]
V
.
T
.
P
ha
m
,
e
t
a
l
.
,
“
A
no
v
e
l
m
e
m
r
i
s
t
i
v
e
ne
u
r
a
l
ne
t
w
o
r
k
w
i
t
h
h
i
d
de
n
a
t
t
r
a
c
t
o
r
s
a
n
d
i
t
s
c
i
r
c
ui
t
r
y
i
m
pl
e
m
e
nt
a
t
i
o
n,
”
Sc
i
e
nc
e
C
h
i
na
T
e
c
hn
ol
ogi
c
a
l
S
c
i
e
nc
e
s
,
v
o
l
.
59
,
no
.
3,
pp
.
358
-
36
3,
2016
,
do
i
:
10.
100
7/
s
114
31
-
015
-
59
81
-
2
.
[
11]
Z
.
S
.
Al
-
T
a
l
i
b
a
nd
S
.
F
.
AL
-
A
z
z
a
w
i
,
“
P
r
o
j
e
c
t
i
v
e
s
y
nc
hr
o
ni
z
a
t
i
o
n
f
o
r
4D
hy
pe
r
c
ha
o
t
i
c
s
y
s
t
e
m
ba
s
e
d
o
n
a
da
p
t
i
v
e
no
nl
i
n
e
a
r
c
o
nt
r
o
l
s
t
r
a
t
e
g
y
,
”
I
nd
one
s
i
a
n
J
o
ur
n
al
o
f
E
l
e
c
t
r
i
c
al
E
ng
i
n
e
e
r
i
ng
and
C
om
put
e
r
Sc
i
e
nc
e
,
v
o
l
.
19
,
no
.
2,
p
p.
715
-
722
,
2020
,
do
i
:
10.
11
591
/
i
j
e
e
c
s
.
v
19.
i
2
.
pp
715
-
722
.
[
12]
Z
.
S
.
Al
-
T
a
l
i
b
a
nd
S
.
F
.
AL
-
A
z
z
a
w
i
,
“
P
r
o
j
e
c
t
i
v
e
a
n
d
hy
br
i
d
pr
o
j
e
c
t
i
v
e
s
y
n
c
hr
o
ni
z
a
t
i
o
n
o
f
4
-
D
h
y
pe
r
c
ha
o
t
i
c
s
y
s
t
e
m
v
i
a
no
nl
i
n
e
a
r
c
o
nt
r
o
l
l
e
r
s
t
r
a
t
e
g
y
,
”
T
E
L
K
O
M
N
I
K
A
(
T
e
l
e
c
om
m
uni
c
at
i
on
C
om
pu
t
i
ng
E
l
e
c
t
r
oni
c
s
a
nd
C
on
t
r
o
l
)
,
v
o
l
.
1
8,
no
.
2,
p
p.
10
12
-
1020
,
202
0
,
do
i
:
10.
1159
1/
i
j
e
e
c
s
.
v
19
.
i
2.
p
p71
5
-
722
.
[
13]
B
.
S
a
ho
o
a
nd
S
.
P
o
r
i
a
,
“
T
h
e
c
ha
o
s
a
nd
c
o
nt
r
o
l
of
a
f
oo
d
c
ha
i
n
m
o
de
l
s
upp
l
y
i
ng
a
ddi
t
i
o
na
l
f
o
o
d
t
o
t
o
p
-
pr
e
da
t
o
r
,
”
C
haos
,
So
l
i
t
on
s
&
F
r
ac
t
al
s
,
v
o
l
.
5
8,
pp
.
52
-
64
,
201
4,
do
i
:
10.
1
016
/
j
.
c
ha
o
s
.
20
13
.
11
.
008
.
[
14]
M.
W
.
M
us
t
a
f
a
,
e
t
al
.
,
“
C
ha
o
s
-
e
nh
a
nc
e
d
c
uc
koo
s
e
a
r
c
h
f
o
r
e
c
o
n
o
m
i
c
di
s
pa
t
c
h
w
i
t
h
v
a
l
v
e
po
i
nt
e
f
f
e
c
t
s
,
”
T
E
L
K
O
M
N
I
K
A
(
T
e
l
e
c
om
m
uni
c
a
t
i
o
n
C
om
p
ut
i
ng
E
l
e
c
t
r
on
i
c
s
an
d
C
ont
r
ol
)
,
v
o
l
.
14
,
no
.
4
,
pp.
122
0
-
1227
,
20
16
,
do
i
:
10.
1
2928
/
t
e
l
ko
m
ni
ka
.
v
14i
4.
3
473
.
[
15]
S
.
V
a
i
dy
a
na
t
h
a
n
a
nd
S
.
R
a
s
a
p
pa
n
,
“
H
y
br
i
d
s
y
nc
hr
o
ni
z
a
t
i
o
n
o
f
hy
pe
r
c
ha
o
t
i
c
Q
i
a
n
d
L
ü
s
y
s
t
e
m
s
by
no
nl
i
ne
a
r
c
o
nt
r
o
l
,”
C
om
m
uni
c
a
t
i
o
ns
i
n
C
om
p
ut
e
r
and
I
n
f
o
r
m
at
i
on
S
c
i
e
nc
e
,
v
o
l
.
13
1,
pp
.
585
-
593
,
2011
,
do
i
:
10.
10
07/
978
-
3
-
642
-
1785
7
-
3_58
.
[
16]
S
.
V
a
i
dy
a
na
t
h
a
n
,
“
A
t
e
n
-
t
e
r
m
no
v
e
l
4
-
D
hy
pe
r
c
ha
o
t
i
c
s
y
s
t
e
m
w
i
t
h
t
h
r
e
e
q
ua
d
r
a
t
i
c
no
nl
i
ne
a
r
i
t
i
e
s
a
nd
i
t
s
c
o
nt
r
o
l
,”
I
nt
e
r
n
at
i
on
al
J
o
ur
n
al
o
f
C
o
nt
r
o
l
T
he
or
y
and
A
p
pl
i
c
a
t
i
ons
,
v
o
l
.
6
,
n
o
.
2,
p
p.
97
-
10
9
,
20
13
.
[
17]
H
.
M
e
dh
a
f
f
a
r
,
e
t
a
l
.
,
“
A
da
pt
i
v
e
f
uz
z
y
c
o
nt
r
o
l
f
o
r
t
he
s
t
a
b
i
l
i
s
a
t
i
o
n
o
f
c
ha
o
t
i
c
s
y
s
t
e
m
s
,”
I
n
t
e
r
nat
i
on
al
J
ou
r
na
l
of
A
ut
om
a
t
i
on
and
C
o
nt
r
ol
,
v
o
l
.
14
,
no
.
2,
pp
.
11
5
-
137
,
2
020
,
do
i
:
10.
1504
/
I
J
A
A
C
.
2020
.
105
511
.
[
18]
A
.
B
o
ube
l
l
o
ut
a
a
n
d
A
.
B
o
ul
kr
o
une
,
“
I
nt
e
l
l
i
g
e
n
t
f
r
a
c
t
i
o
na
l
-
o
r
de
r
c
o
nt
r
o
l
-
ba
s
e
d
p
r
o
j
e
c
t
i
v
e
s
y
n
c
hr
o
ni
z
a
t
i
o
n
f
o
r
c
ha
o
t
i
c
o
pt
i
c
a
l
s
y
s
t
e
m
s
,”
So
f
t
C
om
put
i
ng
,
v
o
l
.
2
3,
no
.
14
,
pp.
5
367
-
5384
,
2019
,
do
i
:
10.
10
07
/
s
00
500
-
01
8
-
3490
-
5
.
[
19]
S
.
V
a
i
dy
a
na
t
ha
n
,
“
S
y
nc
hr
o
ni
z
a
t
i
o
n
o
f
T
o
ka
m
a
k
s
y
s
t
e
m
s
w
i
t
h
s
y
m
m
e
t
r
i
c
a
nd
m
a
g
ne
t
i
c
a
l
l
y
c
o
nf
i
ne
d
pl
a
s
m
a
v
i
a
a
da
p
t
i
v
e
c
o
nt
r
o
l
,
”
I
nt
e
r
n
at
i
on
al
J
o
ur
n
al
o
f
C
he
m
T
e
c
h
R
e
s
e
ar
c
h
,
v
o
l
.
8
,
no
.
6
,
pp
.
818
-
827
,
201
5
.
[
20]
A
.
K
ha
n
a
nd
S
.
K
um
a
r
,
“
T
–
S
f
uz
z
y
o
bs
e
r
v
e
d
ba
s
e
d
d
e
s
i
g
n
a
n
d
s
y
n
c
hr
o
ni
z
a
t
i
o
n
o
f
c
ha
o
t
i
c
a
n
d
hy
pe
r
-
c
ha
o
t
i
c
dy
na
m
i
c
a
l
s
y
s
t
e
m
s
,
”
I
nt
e
r
na
t
i
o
na
l
J
o
ur
na
l
o
f
D
y
na
m
i
c
s
a
n
d
C
o
nt
r
o
l
,
v
o
l
.
6,
no
.
3
,
pp.
1
409
-
141
9,
20
18
.
[
21]
N
.
M
.
A
w
a
l
,
e
t
a
l
.
,
“
T
h
e
s
m
a
l
l
e
s
t
c
hi
m
e
r
a
:
P
e
r
i
o
di
c
i
t
y
a
nd
c
ha
o
s
i
n
a
pa
i
r
o
f
c
o
upl
e
d
c
he
m
i
c
a
l
o
s
c
i
l
l
a
t
o
r
s
,
”
C
h
aos
,
v
o
l
.
2
9,
no
.
1
,
a
r
t
.
i
d
.
0
1313
1,
20
19
,
do
i
:
10
.
106
3/
1
.
5
0609
59
Evaluation Warning : The document was created with Spire.PDF for Python.
In
do
n
e
s
i
a
n
J
E
l
e
c
E
ng
&
Co
m
p
S
c
i
IS
S
N
:
2502
-
4752
A
n
e
w
2
-
D
m
ul
t
i
-
s
t
ab
l
e
c
haot
i
c
a
t
t
r
ac
t
or
and
i
t
s
Mu
l
t
i
Si
m
e
l
e
c
t
r
o
ni
c
…
(
Sundar
apan
di
an
V
ai
d
y
ana
t
han
)
707
[
22]
H
.
B
a
o
e
t
al
.
,
“
H
i
dde
n
b
ur
s
t
i
ng
f
i
r
i
ng
s
a
nd
b
i
f
ur
c
a
t
i
o
n
m
e
c
ha
ni
s
m
s
i
n
m
e
m
r
i
s
t
i
v
e
ne
u
r
o
n
m
o
de
l
w
i
t
h
t
h
r
e
s
ho
l
d
e
l
e
c
t
r
o
m
a
g
ne
t
i
c
i
nduc
t
i
o
n,
”
I
E
E
E
T
r
an
s
ac
t
i
ons
on
N
e
ur
a
l
N
e
t
w
or
k
s
an
d
L
e
ar
ni
n
g
S
y
s
t
e
m
s
,
v
o
l
.
31
,
no
.
2
,
pp.
50
2
-
51
1,
2
020
,
do
i
:
10.
110
9/
T
N
N
L
S
.
2
019
.
290
5137
.
[
23]
Y
.
D
e
ng
a
nd
Y
.
L
i
,
“
A
m
e
m
r
i
s
t
i
v
e
c
o
ns
e
r
v
a
t
i
v
e
c
ha
o
t
i
c
c
i
r
c
ui
t
c
ons
i
s
t
i
ng
o
f
a
m
e
m
r
i
s
t
o
r
a
nd
a
c
a
pa
c
i
t
o
r
,
”
C
haos
,
v
o
l
.
3
0,
no
.
1
,
a
r
t
.
i
d
.
0
1312
0,
20
20
,
do
i
:
10
.
106
3/
1
.
5
1283
84
.
[
24]
A
.
S
a
m
ba
s
,
e
t
a
l
.
,
“
A
no
v
e
l
c
ha
o
t
i
c
s
y
s
t
e
m
w
i
t
h
t
w
o
c
i
r
c
l
e
s
o
f
e
qui
l
i
b
r
i
um
po
i
n
t
s
:
M
ul
t
i
s
t
a
b
i
l
i
t
y
,
e
l
e
c
t
r
o
ni
c
c
i
r
c
ui
t
a
nd
F
P
G
A
r
e
a
l
i
z
a
t
i
o
n,
”
E
l
e
c
t
r
o
ni
c
s
,
v
o
l
.
8,
no
.
11
,
201
9,
a
r
t
.
i
d
.
12
11,
20
19,
do
i
:
10.
3390
/
e
l
e
c
t
r
o
ni
c
s
811
1211
.
[
25]
A
.
S
a
m
ba
s
,
e
t
a
l
.
,
“
I
nv
e
s
t
i
g
a
t
i
o
n
o
f
c
ha
o
s
be
ha
v
i
o
r
i
n
a
n
e
w
t
w
o
-
s
c
r
o
l
l
c
ha
o
t
i
c
s
y
s
t
e
m
w
i
t
h
f
o
ur
uns
t
a
bl
e
e
qui
l
i
br
i
um
po
i
n
t
s
,
i
t
s
s
y
nc
hr
o
ni
z
a
t
i
o
n
v
i
a
f
o
ur
c
o
nt
r
o
l
m
e
t
ho
ds
a
nd
c
i
r
c
ui
t
s
i
m
u
l
a
t
i
o
n,
”
I
A
E
N
G
I
n
t
e
r
nat
i
on
al
J
our
nal
o
f
A
pp
l
i
e
d
M
a
t
he
m
at
i
c
s
,
v
o
l
.
50
,
no
.
1
,
pp
.
1
2
-
2
1,
20
20
.
[
26]
A
.
S
a
m
ba
s
,
e
t
a
l
.
,
“
A
ne
w
c
ha
o
t
i
c
s
y
s
t
e
m
w
i
t
h
l
i
ne
o
f
e
qu
i
l
i
b
r
i
a
:
dy
na
m
i
c
s
,
pa
s
s
i
v
e
c
o
nt
r
o
l
a
nd
c
i
r
c
ui
t
de
s
i
g
n
,
”
I
nt
e
r
na
t
i
o
na
l
J
o
ur
n
a
l
o
f
E
l
e
c
t
r
i
c
a
l
a
nd
C
o
m
put
e
r
E
ng
i
ne
e
r
i
ng
,
v
o
l
.
9,
no
.
4
,
pp
.
2
365
-
23
79,
201
9,
do
i
:
10.
1
1591
/
i
j
e
c
e
.
v
9i
4
.
pp
2365
-
23
76
.
[
27]
A
.
W
o
l
f
,
e
t
al
.
,
“
D
e
t
e
r
m
i
n
i
ng
L
y
a
punov
e
xpo
ne
nt
s
f
r
o
m
a
t
i
m
e
s
e
r
i
e
s
,”
P
hy
s
i
c
a
D
,
v
o
l
.
16
,
pp
.
285
-
31
7
,
1
985
,
do
i
:
10.
1
016
/
016
7
-
2789
(
85
)
90
011
-
9
.
[
28]
J
.
S
l
o
t
i
ne
a
nd
W
.
L
i
,
“
A
ppl
i
e
d
N
o
nl
i
n
e
a
r
C
o
nt
r
o
l
”
,
N
e
w
J
e
r
s
e
y
,
U
S
A
,
P
r
e
n
t
i
c
e
H
a
l
l
,
201
1.
Evaluation Warning : The document was created with Spire.PDF for Python.