page_title: Duffing map
hierarchical_section_title: Duffing map
caption_attribution_description: Phase portrait of a two-well duffing oscillator
context_page_description: The Duffing 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 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.
context_section_description: 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.
caption: Phase portrait of a two-well Duffing oscillator (a differential equation, rather than a map) showing chaotic behavior.
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