Standard map

Known as: Chirikov standard map, Chirikov-Taylor map 
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… (More)
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Papers overview

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2010
2010
  • ANTON GORODETSKI
  • 2010
Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that… (More)
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2009
2009
During last one and half decade an interesting relationship between chaos and cryptography has been developed, according to which… (More)
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2008
2008
(1959) Chirikov criterion (1969) Classical map: ¯ p = p + K sin x ¯ x = x + ¯ p (1979) Quantum map (kicked rotator): ¯ ψ = e −î p… (More)
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Highly Cited
2006
Highly Cited
2006
In recent years, a variety of effective chaos-based image encryption schemes have been proposed. The typical structure of these… (More)
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Highly Cited
2005
Highly Cited
2005
Due to their features of ergodicity, sensitivity to initial conditions and sensitivity to control parameters, etc., chaotic maps… (More)
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2002
2002
A rigorous proof is given in the standard map (associated with a Frenkel-Kontorowa model) for the existence of chaotic… (More)
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1998
1998
  • GUIDO GENTILEmap
  • 1998
Abstract. For the standard map the homotopically non-trivial invariant curves of rotation number ω satisfying the Bryuno… (More)
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Highly Cited
1998
Highly Cited
1998
In this paper, methods are shown how to adapt invertible two-dimensional chaotic maps on a torus or on a square to create new… (More)
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1997
1997
This paper examines the standard map with sawtooth nonlinearity when the eigenvalues of the Jacobian lie on the unit circle. This… (More)
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1994
1994
For an area preserving map, each chaotic orbit appears numerically to densely cover a region (an irregular component) of nonzero… (More)
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