Arnold's cat map is a chaotic transformation of the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using an image of a cat. Thought of as the quotient of the ordinary plane by the integer lattice, the map applies a simple linear transformation and then reduces the result modulo 1, folding everything that falls outside the unit square back inside it; it serves as a simple, pedagogical example of a hyperbolic toral automorphism.
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Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold.
- Name section: the map receives its name from Arnold's 1967 manuscript with Andre Avez
Attributed To: Vladimir Arnold, Lead
In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using an image of a cat, hence the name
View the SourceWolfram MathWorld: Arnold's Cat Map
Wolfram MathWorldIn Branch: Dynamical Systems, Subject classificationsQuote, In Branch: Dynamical Systems, Subject classifications
Calculus and Analysis Dynamical Systems
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