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Mathematical Problems in Engineering
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Table of Contents
Special Issues
Mathematical Problems in Engineering
/
2009
/
Article
/
Tab 2
/
Research Article
Motion Switching and Chaos of a Particle in a Generalized Fermi-Acceleration Oscillator
Table 2
Initial conditions for periodic motions (
𝑚
1
=
0
.
0
1
,
𝑚
2
=
1
,
𝑘
=
1
0
,
𝑐
=
6
,
𝑒
1
=
0
.
9
,
ℎ
=
1
,
𝑄
=
0
.
5
).
Mapping
(
Ω
,
𝑒
2
)
Initial time
𝑡
0
(
𝑥
(
1
)
0
,
̇
𝑥
(
1
)
0
)
(
𝑥
(
2
)
0
,
̇
𝑥
(
2
)
0
)
𝑃
3
2
0
(
6
.
5
,
0
.
0
1
)
0
.
7
0
4
9
0
6
1
4
(
−
0
.
3
8
7
5
5
0
4
3
,
1
.
9
7
6
8
2
1
4
0
)
(
−
0
.
3
8
7
5
5
0
4
3
,
1
.
9
7
6
8
2
1
4
0
)
𝑃
3
2
(
1
1
.
8
,
0
.
0
1
)
0
.
5
1
0
3
5
8
9
0
(
0
.
0
1
4
2
2
2
3
5
,
0
.
8
7
7
1
9
8
9
7
)
(
0
.
0
1
4
2
2
2
3
5
,
2
.
8
3
3
0
4
4
6
4
)
𝑃
(
2
1
3
)
(
6
.
7
,
0
.
7
)
0
.
0
7
4
1
6
3
3
1
(
1
.
0
,
5
.
4
1
0
4
8
8
8
4
)
(
0
.
3
2
8
0
3
5
0
6
,
1
.
1
5
0
4
4
5
9
4
)
𝑃
(
2
1
3
)
2
(
6
.
5
,
0
.
7
)
0
.
0
8
3
4
7
1
5
3
(
1
.
0
,
5
.
5
4
8
7
8
7
1
0
)
(
0
.
3
4
7
3
0
0
3
6
,
0
.
9
8
8
0
1
5
0
3
)
𝑃
1
2
(
2
2
.
7
,
0
.
7
)
0
.
0
8
6
9
9
3
2
8
(
1
.
0
,
8
.
1
1
2
9
8
1
9
6
)
(
0
.
0
4
0
5
9
7
2
7
,
−
1
.
6
4
9
2
9
0
8
9
)
𝑃
(
1
2
)
2
(
2
0
.
4
,
0
.
7
)
0
.
3
9
9
7
5
7
7
6
(
1
.
0
,
8
.
1
7
5
7
1
9
6
3
)
(
0
.
0
7
1
0
2
0
9
8
,
−
1
.
4
4
7
9
0
3
2
8
)
