Secure chaotic communication based on extreme multistability |
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| Authors: | AN Pisarchik R Jaimes-Reátegui C Rodríguez-Flores JH García-López G Huerta-Cuellar FJ Martín-Pasquín |
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| Institution: | 1. Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, Pozuelo de Alarcón, Madrid 28223, Spain;2. Center for Technologies in Robotics and Mechatronics Components, Innopolis University, Universitetskaya Str., 1, Innopolis 420500, Republic of Tatarstan, Russia;3. Campus Universitario Lagos, Universidad de Guadalajara, Enrique Díaz de León, 1144, Paseo de la Montaña, Lagos de Moreno 47460, Jalisco, Mexico;4. Smart Human Capital, Edificio Musaat, Calle del Jazmín, 66, Madrid 28033, Spain;1. School of Mathematics, South China University of Technology, Guangzhou 510641, People''s Republic of China;2. Department of Electrical Engineering, City University of Hong Kong, Hong Kong SAR, People''s Republic of China;1. Electronic Engineering College, Heilongjiang University, Harbin 150080, China;2. School of Physics and Electronics, Central South University, Changsha 410083, China;1. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran;2. Department of Electrical and Communication Engineering, The PNG University of Technology, Lae, Papua New Guinea;3. Centre for Non-Linear Dynamics, Defense University, Ethiopia |
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| Abstract: | Extreme multistability is the coexistence of a large number of attractors which can be reached by varying initial conditions. In this paper we show how this fascinating phenomenon can be used for secure communication. The main advantage of the communication system based on extreme multistability over a conventional chaos-based communication system is its exceptionally high security. The proposed system consists of two identical six-order oscillators; one in the transmitter and another one in the receiver, each exhibiting the coexistence of a large number of chaotic attractors. The oscillators are synchronized using a private channel through one of the system variables, while the information is transmitted via a public channel through another variable. The information is encrypted by varying the initial condition of one of the state variables in the transmitter using a chaotic map, adhering message packages in a staggered form to the coexisting attractors within the same time series of another state variable, which leads to switching among the coexisting chaotic attractors. To ensure communication security, the duration of the packages is shorter than synchronization time, so that synchronization attacks are ineffective. |
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