Meta-chaos: Reconstructing chaotic attractors from the separation of nearby initial conditions on hyperhelices

Toledo-Suárez, Carlos D.

doi:10.1016/j.cnsns.2009.09.036

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…This algorithm meets the principle of Kerchhoff, and the key belongs to the set of real number, so the key space is large, and it can resist brute-force attack. Although these encryption methods have a super security, the attacker often decrypts the cipher-text by the cryptanalysis method or chaos reconstruction [3][4] [5] [6]. Even if the adversary cannot decrypt the encrypted message, he or she can destroy the cipher-text such that the legal user cannot obtain the plaintext.…”

Section: Introductionmentioning

confidence: 99%

NDFT-based Image Steganographic Scheme with Discrimination of Tampers

Wang¹

2011

KSII TIIS

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A new and secure image steganographic scheme based on nonuniform discrete Fourier transform (NDFT) is proposed in this paper. First, the chaotic system is introduced to select embedding points randomly in NDFT domain suitable range, and NDFT is implemented on every non-overlapping block of eight consecutive pixels. Second, the secret messages are scrambled by chaotic systems, and embedded into frequency coefficients by quantization method. The stego-image is obtained by inverse NDFT (INDFT). Besides, in order to discriminate tampers, the low frequency wavelet coefficients of 7 most significant bits (MSBs) of the stego-image are converted into the binary sequence after nonuniform scalar quantization. Then the obtained binary sequence is scrambled by the chaotic systems, and embedded into the least significant bit (LSB) of the stego-image. Finally, the watermarked stego-image can be obtained by a new improved LSB steganographic method. The embedded secret messages can be extracted from the watermarked stego-image without the original cover image. Experimental results show the validity of the proposed scheme, and dual statistics attacks are also conducted to indicate the security.

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Section: Introductionmentioning

confidence: 99%

NDFT-based Image Steganographic Scheme with Discrimination of Tampers

Wang¹

2011

KSII TIIS

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Self-evolution of hyper fractional order chaos driven by a novel approach through genetic programming

Gao

Lee

Cao

et al. 2016

Expert Systems with Applications

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Chaos Analysis Framework: How to Safely Identify and Quantify Time-Series Dynamics

Vogl¹

2023

Nonlinear Systems - Recent Developments and Advances

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Within this chapter, a practical introduction to a nonlinear analysis framework tailored for time-series data is provided, enabling the safe quantification of underlying evolutionary dynamics, which describe the referring empirical data generating process. Furthermore, its application provides the possibility to distinct between underlying chaotic versus stochastic dynamics. In addition, an optional combination with (strange) attractor reconstruction algorithms to visualize the denoted system’s dynamics is possible. Since the framework builds upon a large variety of algorithms and methods, its application is by far trivial, especially, in hindsight of reconstruction algorithms for (strange) attractors. Therefore, a general implementation and application guideline for the correct algorithm specifications and avoidance of pitfalls or other unfavorable settings is proposed and respective (graphical) empirical examples are shown. It is intended to provide the readers the possibility to incorporate the proposed analysis framework themselves and to conduct the analyses and reconstructions properly with correct specifications and to be knowledgeable about misleading propositions or parameter choices. Finally, concluding remarks, future avenues of research and future refinements of the framework are proposed.

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Meta-chaos: Reconstructing chaotic attractors from the separation of nearby initial conditions on hyperhelices

Cited by 3 publications

References 7 publications

NDFT-based Image Steganographic Scheme with Discrimination of Tampers

NDFT-based Image Steganographic Scheme with Discrimination of Tampers

Self-evolution of hyper fractional order chaos driven by a novel approach through genetic programming

Chaos Analysis Framework: How to Safely Identify and Quantify Time-Series Dynamics

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