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A Class of Quadratic Polynomial Chaotic Maps and Their Fixed Points Analysis [PDF]
Entropy, 2019 When chaotic systems are used in different practical applications, such as chaotic secure communication and chaotic pseudorandom sequence generators, a large number of chaotic systems are strongly required.
Chuanfu Wang, Qun Ding
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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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An Extended Chaotic Maps-Based Three-Party Password-Authenticated Key Agreement with User Anonymity. [PDF]
PLoS ONE, 2016 User anonymity is one of the key security features of an authenticated key agreement especially for communicating messages via an insecure network.
Yanrong Lu +3 more
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Memristor-type chaotic mapping [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022 In this letter, a compact memristor structure unit is applied for constructing the discrete chaotic system and, consequently, a memristor-type chaotic mapping is designed. Two independent system parameters are proven to be partial and total amplitude controllers. Meanwhile, the internal memristor parameter returns the map a typical bifurcation. Finally,
Yongxin Li +3 more
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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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An Improved Absolute-Cosine Chaotification Model and Its Simple Application in PRNG
IEEE Access, 2023 Chaotic systems are widely used in various aspects such as information security, signal processing, and synchronous control. The structural complexity and the chaotic behavior of chaotic systems are two significant factors affecting their practical ...
Feng Zhang +4 more
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Discrete Superior Hyperbolicity in Chaotic Maps
Chaos Theory and Applications, 2021 In the last few decades, the dynamics of one-dimensional chaotic maps have gained the tremendous attention of scientists and scholars due to their remarkable properties such as period-doubling, chaotic evolution, Lyapunov exponent, etc.
Fawaz Alsaadi +3 more
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IEEE Access, 2023 Chaotic maps have been widely applied on image encryption for their complexity and sensitivity to key variation. In this work, we propose second-order chaotic maps with optimized random coefficients to generate chaotic sequences for image encryption. Two
Ta-Chien Yeh, Jean-Fu Kiang
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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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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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