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Discrete chaos in fractional sine and standard maps
Physics Letters A, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Guo-Cheng +2 more
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Numerical studies of the noisy sine circle map
Physics Letters A, 1989Abstract The influence of additive noise on the period-locked regime of the sine circle map is studied numerically. Two critical values of noise, separating locked, transient and chaotic regimes have been found.
Mária Markošová, P. Markoš
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2D Chebyshev-Sine Map for Image Encryption
2018 7th International Conference on Digital Home (ICDH), 2018Chaotic systems are extremely sensitive to initial conditions and system parameters, ergodicity, unpredictable, which are applied to the field of image encryption widely. This paper proposes a new scheme of combining chaos theory and image encryption–2D Chebyshev-Sine map. Through the analysis of the trajectory contours mapping and other chaos mappings,
Yanru Zhong +5 more
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Chaotic Characteristics of a Novel Sine Composite Chaotic Map
International Journal of Bifurcation and ChaosThis paper proposes a novel sine composite map, which is constructed by combining the Logistic map and the sine function. It not only overcomes the major drawbacks of the Logistic chaotic system but also remains a simple structure. Moreover, the simulation and comparison analyses demonstrate that the proposed chaotic map has complex chaotic behaviors ...
Jun-Ling Hao, Ying-Qian Zhang
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Image encryption using 2D Logistic-adjusted-Sine map
Information Sciences, 2016With complex properties of ergodicity, unpredictability and sensitivity to initial states, chaotic systems are widely used in cryptography. This paper proposes a two-dimensional Logistic-adjusted-Sine map (2D-LASM). Performance evaluations show that it has better ergodicity and unpredictability, and a wider chaotic range than many existing chaotic maps.
Zhongyun Hua, Yicong Zhou
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The width of Arnold tongues for the sine circle map
Nonlinearity, 1996Summary: For the sine map \(f_{k,\Omega}(x)= x+ \Omega+ k\sin^2x\) it is shown that the width of the interval \(I_n(k)\) of \(\Omega\) for which \(f_{k,\Omega}\) has rotation number \(1/n\) satisfies the asymptotic relation \(|I_n(k)|/\ell(n, k)\to\Gamma\) as \(n\to\infty\) and \(k\to 0\), where \[ \ell(n,k)= {1\over n^2\sqrt{n^2k^2+ 4\pi^2}} \Bigl ...
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Branch structures at the steps of the devil’s staircase of the sine circle map
Physical Review A, 1992We have discovered substructures consisting of branches at each step of the devil's staircase of the sine circle map. These substructures are found to follow the hierarchy of the Farey tree. We develop a formalism to relate the rational winding number {ital W}={ital p}/{ital q} to the number of branches in these substructures.
, Wen, , Duong-van
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The Fokas Method: The Dirichlet to Neumann Map for the Sine‐Gordon Equation
Studies in Applied Mathematics, 2014We study initial boundary value problems for the sine‐Gordon equation on the half‐line via the Fokas method, known as an extension of the inverse scattering transform. The method is based on the simultaneous analysis of both parts of the Lax pair and the global algebraic relation that couples known and unknown boundary values.
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Initials-Boosted Coexisting Chaos in a 2-D Sine Map and Its Hardware Implementation
IEEE Transactions on Industrial Informatics, 2021Bocheng Bao, Han Bao, Lei Zhu
exaly