Results 11 to 20 of about 17,303 (258)
Symbolic partition in chaotic maps [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021 In this work, we only use data on the unstable manifold to locate the partition boundaries by checking folding points at different levels, which practically coincide with homoclinic tangencies. The method is then applied to the classic two-dimensional Hénon map and a well-known three-dimensional map.
Misha Chai, Yueheng Lan
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Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation
Chaos Theory and Applications, 2022 Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability.
Günyaz Ablay
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Chaotic mixing in a torus map [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003 The advection and diffusion of a passive scalar is investigated for a map of the 2-torus. The map is chaotic, and the limit of almost-uniform stretching is considered. This allows an analytic understanding of the transition from a phase of constant scalar variance (for short times) to exponential decay (for long times). This transition is embodied in a
Thiffeault, JL, Childress, S
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Multidimensional Discrete Chaotic Maps
Frontiers in Physics, 2022 In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior.
Maide Bucolo +6 more
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Mathematics, 2023 Chaotic systems are widely used in many scientific fields for their dynamic characteristics. This study proposes a new delayed coupling method, which not only disturbs the control coefficient in chaotic maps but also affects their function structure ...
Shuiyuan Huang +3 more
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Comment on “Image encryption with chaotically coupled chaotic maps” [PDF]
Physica D: Nonlinear Phenomena, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arroyo, D +4 more
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Image Encryption Using a New Hybrid Chaotic Map and Spiral Transformation
Entropy, 2023 Image encryption based on chaotic maps is an important method for ensuring the secure communication of digital multimedia on the Internet. To improve the encryption performance and security of image encryption systems, a new image encryption algorithm is
Mingfang Jiang, Hengfu Yang
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BER Performance Improvement of Dual Chaotic Maps Based on STBC Communication System
Al-Khawarizmi Engineering Journal, 2022 Sensitive information of any multimedia must be encrypted before transmission. The dual chaotic algorithm is a good option to encrypt sensitive information by using different parameters and different initial conditions for two chaotic maps.
Lwaa Faisal Abdulameer +2 more
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International Journal of Bifurcation and Chaos, 2016 This paper introduces a class of polynomial maps in Euclidean spaces, investigates the conditions under which there exist Smale horseshoes and uniformly hyperbolic invariant sets, studies the chaotic dynamical behavior and strange attractors, and shows that some maps are chaotic in the sense of Li–Yorke or Devaney.
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Digital Cosine Chaotic Map for Cryptographic Applications
IEEE Access, 2019 Despite having many similar characteristics with cryptography, existing chaotic systems have many security issues that negatively affect the chaos-based cryptographic algorithms that utilize them.
Moatsum Alawida +3 more
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