<s>
This	O
article	O
describes	O
periodic	O
points	O
of	O
some	O
complex	B-Algorithm
quadratic	I-Algorithm
maps	I-Algorithm
.	O
</s>
<s>
These	O
periodic	O
points	O
play	O
a	O
role	O
in	O
the	O
theories	O
of	O
Fatou	B-Language
and	O
Julia	B-Language
sets	I-Language
.	O
</s>
<s>
be	O
the	O
complex	B-Algorithm
quadric	I-Algorithm
mapping	I-Algorithm
,	O
where	O
and	O
are	O
complex	O
numbers	O
.	O
</s>
<s>
The	O
multiplier	O
(	O
or	O
eigenvalue	O
,	O
derivative	B-Algorithm
)	O
of	O
a	O
rational	O
map	O
iterated	O
times	O
at	O
cyclic	O
point	O
is	O
defined	O
as	O
:	O
</s>
<s>
where	O
is	O
the	O
first	B-Algorithm
derivative	I-Algorithm
of	O
with	O
respect	O
to	O
at	O
.	O
</s>
<s>
Because	O
the	O
multiplier	O
is	O
the	O
same	O
at	O
all	O
periodic	O
points	O
on	O
a	O
given	O
orbit	B-Algorithm
,	O
it	O
is	O
called	O
a	O
multiplier	O
of	O
the	O
periodic	O
orbit	B-Algorithm
.	O
</s>
<s>
irrationally	B-Algorithm
indifferent	I-Algorithm
if	O
but	O
multiplier	O
is	O
not	O
a	O
root	O
of	O
unity	O
;	O
</s>
<s>
that	O
are	O
attracting	O
are	O
always	O
in	O
the	O
Fatou	B-Language
set	I-Language
;	O
</s>
<s>
that	O
are	O
repelling	O
are	O
in	O
the	O
Julia	B-Language
set	I-Language
;	O
</s>
<s>
A	O
parabolic	O
periodic	O
point	O
is	O
in	O
the	O
Julia	B-Language
set	I-Language
.	O
</s>
<s>
the	O
one	O
on	O
the	O
right	O
(	O
whenever	O
fixed	O
point	O
are	O
not	O
symmetrical	O
around	O
the	O
real	O
axis	O
)	O
,	O
it	O
is	O
the	O
extreme	O
right	O
point	O
for	O
connected	O
Julia	B-Language
sets	I-Language
(	O
except	O
for	O
cauliflower	O
)	O
.	O
</s>
<s>
In	O
this	O
case	O
,	O
0	O
is	O
a	O
superattractive	O
fixed	O
point	O
,	O
and	O
1	O
belongs	O
to	O
the	O
Julia	B-Language
set	I-Language
.	O
</s>
<s>
These	O
two	O
roots	O
,	O
which	O
are	O
the	O
same	O
as	O
those	O
found	O
by	O
the	O
first	O
method	O
,	O
form	O
the	O
period-2	O
orbit	B-Algorithm
.	O
</s>
<s>
Thus	O
,	O
both	O
these	O
points	O
are	O
"	O
hiding	O
"	O
in	O
the	O
Julia	B-Language
set	I-Language
.	O
</s>
