Heterogeneous Memristive Models Design and Its Application in Information Security |
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Authors: | Shaojiang Zhong |
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Affiliation: | 1
New York University, Courant Institute of Mathematical Sciences, New York, 10012, USA. |
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Abstract: | Based on the three-dimensional classic Chua circuit, a nonlinear circuit containing two flux-control memristors is designed. Due to the difference in the design of the characteristic equation of the two magnetron memristors, their position form a symmetrical structure with respect to the capacitor. The existence of chaotic properties is proved by analyzing the stability of the system, including Lyapunov exponent, equilibrium point, eigenvalue, Poincare map, power spectrum, bifurcation diagram et al. Theoretical analysis and numerical calculation show that this heterogeneous memristive model is a hyperchaotic five-dimensional nonlinear dynamical system and has a strong chaotic behavior. Then, the memristive system is applied to digital image and speech signal processing. The analysis of the key space, sensitivity of key parameters, and statistical character of encrypted scheme imply that this model can applied widely in multimedia information security. |
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Keywords: | Chua circuit heterogeneous memristor flux-control memristor hyperchaos system data image encryption |
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