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...

Arnold's may refer to: Arnold's Cove, Canadian town in Newfoundland Arnold's Cove Station, Newfoundland and Labrador Arnold's cat map, chaotic map from...

one deforms sideways during the squashing, one obtains Arnold's cat map. In most ways, the cat map is prototypical of any other similar transformation....

differentiable map f on M has a hyperbolic structure on the tangent bundle, then it is called an Anosov map. Examples include the Bernoulli map, and Arnold's cat map...

the initial state | ψ ( 0 ) ⟩ {\displaystyle |\psi (0)\rangle } . Arnold's cat map Ergodic hypothesis Quantum revival Recurrence period density entropy...

Novodevichy Monastery. In a telegram to Arnold's family, Russian President Dmitry Medvedev stated: The death of Vladimir Arnold, one of the greatest mathematicians...

Arnold, a Russian and Soviet mathematician. Arnold conjecture Arnold diffusion Arnold invariants Arnold tongue Arnold web Arnold's cat map Arnold's notation...

on the complex unit circle. One example of a map whose only fixed point is hyperbolic is Arnold's cat map: [ x n + 1 y n + 1 ] = [ 1 1 1 2 ] [ x n y n...

different from 1, see circle map. Dmitri Anosov discovered that hyperbolic automorphisms of the torus, such as the Arnold's cat map, are structurally stable...

chaotic maps Logistic map Lorenz attractor Lorenz-96 Iterated function system Tetration Ackermann function Horseshoe map Hénon map Arnold's cat map Population...