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Design and circuit implementation of a five‐dimensional hyperchaotic system with linear parameter
Authors:Yongbo Sui  Yigang He  Wenxin Yu  Yan Li
Affiliation:1. The School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, Anhui Province, China;2. School of Electrical Engineering, Wuhan University, Wuhan, China;3. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, China
Abstract:Based on an existing 4‐dimensional Lorenz hyperchaotic system, a novel 5‐dimensional hyperchaotic system is proposed by an extra linear control coefficient in this paper. Some related characters are analysed comprehensively, including the stability of equilibrium, dissipativity, rotation symmetry, bifurcations, Lyapunov exponent, and Poincare surface of a section of the hyperchaotic system. The 5‐dimensional hyperchaotic system is then implemented and simulated in the circuit simulation software NI Multisim. The results indicate that the proposed hyperchaotic system exhibits hyperchaos, chaos, and quasi‐periodic and periodic dynamic behaviours, which can facilitate and enhance the security of chaos‐based communication.
Keywords:chaos  chaotic cryptography  circuit implementation  hyperchaotic system
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