Hénon map
（重定向自Henon attractor）
![Hénon attractor for a = 1.4 and b = 0.3](/Images/godic/202501/17/HenonMapImage0324.png")
![Hénon attractor for a = 1.4 and b = 0.3](/Images/godic/202501/17/Henon_Multifractal_Map_movie0325.gif")
![Orbit diagram for the Hénon map with b=0.3. Higher density (darker) indicates increased probability of the variable x acquiring that value for the given value of a. Notice the satellite regions of chaos and periodicity around a=1.075 -- these can arise depending upon initial conditions for x and y.](/Images/godic/202501/17/Henon_bifurcation_map_b=0.30325.png")
![Hénon-Abbildung für die Parameter a=1,4 und b=0,3: hufeisenförmiges Gebilde](/Images/godic/202501/17/Henonabbildung0325.jpg")
The Hénon map is a discrete-time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaotic behavior. The Hénon map takes a point (xn, yn) in the plane and maps it to a new point
The map depends on two parameters, a and b, which for the classical Hénon map have values of a = 1.4 and b = 0.3. For the classical 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.