Duffing map
Discrete-time dynamical system
![](http://upload.wikimedia.org/wikipedia/en/thumb/4/40/DuffingMap.png/220px-DuffingMap.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/7/72/Tw_duffing.png/220px-Tw_duffing.png)
The Duffing map (also called as 'Holmes map') is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior. The Duffing map takes a point (xn, yn) in the plane and maps it to a new point given by
The map depends on the two constants a and b. These are usually set to a = 2.75 and b = 0.2 to produce chaotic behaviour. It is a discrete version of the Duffing equation.
References
External links
- Duffing oscillator on Scholarpedia
- v
- t
- e
Chaos theory
Core |
|
---|---|
| |
Theorems |
![Conus textile shell](http://upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/100px-C%C3%B4ne_textileII.png)
![Circle map with black Arnold tongues](http://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/100px-Circle_map_poincare_recurrence.jpeg)
branches
maps (list)
systems
theorists
- Michael Berry
- Rufus Bowen
- Mary Cartwright
- Chen Guanrong
- Leon O. Chua
- Mitchell Feigenbaum
- Peter Grassberger
- Celso Grebogi
- Martin Gutzwiller
- Brosl Hasslacher
- Michel Hénon
- Svetlana Jitomirskaya
- Bryna Kra
- Edward Norton Lorenz
- Aleksandr Lyapunov
- Benoît Mandelbrot
- Hee Oh
- Edward Ott
- Henri Poincaré
- Itamar Procaccia
- Mary Rees
- Otto Rössler
- David Ruelle
- Caroline Series
- Yakov Sinai
- Oleksandr Mykolayovych Sharkovsky
- Nina Snaith
- Floris Takens
- Audrey Terras
- Mary Tsingou
- Marcelo Viana
- Amie Wilkinson
- James A. Yorke
- Lai-Sang Young
articles
![]() | This fractal–related article is a stub. You can help Wikipedia by expanding it. |
- v
- t
- e