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帐篷映射 .
帐篷映射分歧图 帐篷映射 (英语:tent map )在数学 中是指一种分段的线性映射 ,因其函数图像类似帐篷 而得名。[1]
帐篷映射的递推关系式 为:
x
n
+
1
=
f
μ
(
x
n
)
=
{
μ
x
n
f
o
r
x
n
<
1
2
μ
(
1
−
x
n
)
f
o
r
1
2
≤
x
n
{\displaystyle x_{n+1}=f_{\mu }(x_{n})={\begin{cases}\mu x_{n}&\mathrm {for} ~~x_{n}<{\frac {1}{2))\\\\\mu (1-x_{n})&\mathrm {for} ~~{\frac {1}{2))\leq x_{n}\end{cases))}
当
μ
=
2
{\displaystyle \mu =2}
时,帐篷映射是元移动映射 与
r
=
4
{\displaystyle r=4}
时的单峰映象 的非线性变换。
^ 《数学辞海》编辑委员会. 数学辞海·第五卷. 中国科学技术出版社. 2002.
混沌理论 混沌映射 (列表 )
Arnold tongue
猫映射
Baker映射
Complex quadratic map
Complex squaring map
Coupled map lattice
双摆
三体问题
多卷波混沌吸引子
杜芬振子
Duffing map
Dyadic transformation
Dynamical billiards
Exponential map
高斯映射
Gingerbreadman map
厄农映射
马蹄映射
Ikeda映射
Interval exchange map
Kaplan–Yorke映射
逻辑斯谛映射
洛伦茨吸引子
拉比诺维奇-法布里康特方程
若斯叻吸引子
标准映射
Swinging Atwood's machine
帐篷映射
Tinkerbell映射
范德波尔振荡器
Zaslavskii映射
混沌系统 混沌理论学家
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