Operational criterion for controlled dense coding with non-trivial tripartite entangled states |
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| Authors: | Sovik Roy Biplab Ghosh Md Manirul Ali |
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| Affiliation: | 1.School of Mathematics and Physics,China University of Geosciences,Wuhan,China;2.Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Yulin,China;3.Center for Nonlinear Dynamics, Department of Electrical and Communication Engineering,The PNG University of Technology,Lae,Papua New Guinea;4.College of Mechanical Engineering,Beijing University of Technology,Beijing,China;5.Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries,University of Maroua,Maroua,Cameroon;6.Department of Electrical and Electronics Engineering, Faculty of Technology,Sakarya University,Adapazar?,Turkey |
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| Abstract: | Hidden hyperchaotic attractors can be generated with three positive Lyapunov exponents in the proposed 5D hyperchaotic Burke–Shaw system with only one stable equilibrium. To the best of our knowledge, this feature has rarely been previously reported in any other higher-dimensional systems. Unidirectional linear error feedback coupling scheme is used to achieve hyperchaos synchronisation, which will be estimated by using two indicators: the normalised average root-mean squared synchronisation error and the maximum cross-correlation coefficient. The 5D hyperchaotic system has been simulated using a specially designed electronic circuit and viewed on an oscilloscope, thereby confirming the results of the numerical integration. In addition, fractional-order hidden hyperchaotic system will be considered from the following three aspects: stability, bifurcation analysis and FPGA implementation. Such implementations in real time represent hidden hyperchaotic attractors with important consequences for engineering applications. |
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