期刊
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
卷 51, 期 6, 页码 3713-3724出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMC.2019.2932616
关键词
Chaotic communication; Electronic countermeasures; Logistics; Bifurcation; Orbits; Degradation; Chaotic behavior; chaotic system; nonlinear system; robust chaos; secure communication
资金
- National Key Research and Development Program of China [2018YFB1003800, 2018YFB1003805]
- National Natural Science Foundation of China [61701137]
- Shenzhen Science and Technology Program [JCYJ20170307150704051, JCYJ20170811160212033]
- Science and Technology Development Fund, Macau SAR [189/2017/A3]
- Research Committee at University of Macau [MYRG2016-00123-FST, MYRG2018-00136-FST]
This article introduces a new chaotic system with robust chaos to overcome the issue of chaos disappearance caused by parameter disturbance in practical applications. By introducing the exponential chaotic model (ECM), nine one-dimensional chaotic maps with robust chaos were generated and tested for secure communication. Simulation results showed superior performance against various channel noise during data transmission.
Robust chaos is defined as the inexistence of periodic windows and coexisting attractors in the neighborhood of parameter space. This characteristic is desired because a chaotic system with robust chaos can overcome the chaos disappearance caused by parameter disturbance in practical applications. However, many existing chaotic systems fail to consider the robust chaos. This article introduces an exponential chaotic model (ECM) to produce new one-dimensional (1-D) chaotic maps with robust chaos. ECM is a universal framework and can produce many new chaotic maps employing any two 1-D chaotic maps as base and exponent maps. As examples, we present nine chaotic maps produced by ECM, discuss their bifurcation diagrams and prove their robust chaos. Performance evaluations also show that these nine chaotic maps of ECM can obtain robust chaos in a large parameter space. To show the practical applications of ECM, we employ these nine chaotic maps of ECM in secure communication. Simulation results show their superior performance against various channel noise during data transmission.
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