Teoria gier – Skrypty dla studentów Ekonofizyki UPGOW

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		Wersja z 09:14, 24 mar 2010 (pokaż źródło)
MarekSzopa  (dyskusja | edycje)
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		Wersja z 10:51, 26 sie 2010 (pokaż źródło)
MarekSzopa  (dyskusja | edycje) 
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- [[Image:HenonMapImage.png|thumb|250px|Hénon attractor for ''a'' = 1.4 and ''b'' = 0.3]]  
- The '''Hénon map''' is a discrete-time [[dynamical system]]. It is one of the most studied examples of dynamical systems that exhibit [[chaos theory|chaotic behavior]]. The Hénon map takes a point (''x<sub>n</sub>'',&nbsp;''y<sub>n</sub>'') in the plane and maps it to a new point  
  
- :<math>\begin{align}  
-   x_{n+1} &= y_n+1-a x_n^2,\\  
-   y_{n+1} &= b x_n.  
- \end{align}</math>  
-  
- The map depends on two parameters, ''a'' and ''b'', which for the '''canonical Hénon map''' have values of ''a''&nbsp;=&nbsp;1.4 and ''b''&nbsp;=&nbsp;0.3.   For the canonical values the Hénon map is chaotic. For other values of ''a'' and ''b'' the map may be chaotic, intermittent, or converge to a periodic orbit.  An overview of the type of behavior of the map at different parameter values may be obtained from its [[orbit diagram]].  
- sdddss  
Wersja z 10:51, 26 sie 2010

Źródło „http://172.16.3.1/ekonofizyka/index.php/Teoria_gier”
@@ Linia 1: / Linia 1: @@
-[[Image:HenonMapImage.png|thumb|250px|Hénon attractor for ''a'' = 1.4 and ''b'' = 0.3]]
-The '''Hénon map''' is a discrete-time [[dynamical system]]. It is one of the most studied examples of dynamical systems that exhibit [[chaos theory|chaotic behavior]]. The Hénon map takes a point (''x<sub>n</sub>'',&nbsp;''y<sub>n</sub>'') in the plane and maps it to a new point
-:<math>\begin{align}
-  x_{n+1} &= y_n+1-a x_n^2,\\
-  y_{n+1} &= b x_n.
-\end{align}</math>
-The map depends on two parameters, ''a'' and ''b'', which for the '''canonical Hénon map''' have values of ''a''&nbsp;=&nbsp;1.4 and ''b''&nbsp;=&nbsp;0.3.   For the canonical values the Hénon map is chaotic. For other values of ''a'' and ''b'' the map may be chaotic, intermittent, or converge to a periodic orbit.  An overview of the type of behavior of the map at different parameter values may be obtained from its [[orbit diagram]].
-sdddss