# Standard map

## Papers overview

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2010

2010

- 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

- 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

- Scholarpedia
- 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

- ArXiv
- 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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2005

Highly Cited

2005

- 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

- 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

- 1998

Abstract. For the standard map the homotopically non-trivial invariant curves of rotation number ω satisfying the Bryuno… (More)

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1998

Highly Cited

1998

- 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

- 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

- 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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