page_title: Standard map
hierarchical_section_title: Standard map
caption_attribution_description: English: Image of the Chirikov standard map for K=1.2
context_page_description: The standard map is an area-preserving chaotic map from a square with side onto itself. It is constructed by a Poincaré's surface of section of the kicked rotator, and is defined by:
  where and are taken modulo.
  The properties of chaos of the standard map were established by Boris Chirikov in 1969.
context_section_description: The standard map (also known as the Chirikov–Taylor map or as the Chirikov standard map) is an area-preserving chaotic map from a square with side  onto itself. It is constructed by a Poincaré's surface of section of the kicked rotator, and is defined by:
  where  and  are taken modulo .
  The properties of chaos of the standard map were established by Boris Chirikov in 1969.
caption: Orbits of the standard map for K = 1.2.
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