Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems
Since the conservative chaotic system (CCS) has no general attractors, conservative chaotic flows are more suitable for the chaos-based secure communication than the chaotic attractors. In this paper, two Hamiltonian conservative chaotic systems (HCCSs) are constructed based on the 4D Euler equation...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8693157 |
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| _version_ | 1832563182707671040 |
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| author | Enzeng Dong Guanghan Liu Zenghui Wang Zengqiang Chen |
| author_facet | Enzeng Dong Guanghan Liu Zenghui Wang Zengqiang Chen |
| author_sort | Enzeng Dong |
| collection | DOAJ |
| description | Since the conservative chaotic system (CCS) has no general attractors, conservative chaotic flows are more suitable for the chaos-based secure communication than the chaotic attractors. In this paper, two Hamiltonian conservative chaotic systems (HCCSs) are constructed based on the 4D Euler equations and a proposed construction method. These two new systems are investigated by equilibrium points, dynamical evolution map, Hamilton energy, and Casimir energy. They look similar, but it is found that one can be explained using Casimir power and another cannot be explained in terms of the mechanism of chaos. Furthermore, a pseudorandom signal generator is developed based on these proposed systems, which are tested based on NIST tests and implemented by using the field programmable gate array (FPGA) technique. |
| format | Article |
| id | doaj-art-d14acee1bb574a149cd38d10d7d476c4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d14acee1bb574a149cd38d10d7d476c42025-02-03T01:20:46ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/86931578693157Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic SystemsEnzeng Dong0Guanghan Liu1Zenghui Wang2Zengqiang Chen3Tianjin Key Laboratory For Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, ChinaTianjin Key Laboratory For Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, ChinaDepartment of Electrical and Mining Engineering, University of South Africa, Florida 1710, South AfricaDepartment of Automation, Nankai University, Tianjin 300071, ChinaSince the conservative chaotic system (CCS) has no general attractors, conservative chaotic flows are more suitable for the chaos-based secure communication than the chaotic attractors. In this paper, two Hamiltonian conservative chaotic systems (HCCSs) are constructed based on the 4D Euler equations and a proposed construction method. These two new systems are investigated by equilibrium points, dynamical evolution map, Hamilton energy, and Casimir energy. They look similar, but it is found that one can be explained using Casimir power and another cannot be explained in terms of the mechanism of chaos. Furthermore, a pseudorandom signal generator is developed based on these proposed systems, which are tested based on NIST tests and implemented by using the field programmable gate array (FPGA) technique.http://dx.doi.org/10.1155/2020/8693157 |
| spellingShingle | Enzeng Dong Guanghan Liu Zenghui Wang Zengqiang Chen Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems Complexity |
| title | Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems |
| title_full | Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems |
| title_fullStr | Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems |
| title_full_unstemmed | Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems |
| title_short | Energy Conservation, Singular Orbits, and FPGA Implementation of Two New Hamiltonian Chaotic Systems |
| title_sort | energy conservation singular orbits and fpga implementation of two new hamiltonian chaotic systems |
| url | http://dx.doi.org/10.1155/2020/8693157 |
| work_keys_str_mv | AT enzengdong energyconservationsingularorbitsandfpgaimplementationoftwonewhamiltonianchaoticsystems AT guanghanliu energyconservationsingularorbitsandfpgaimplementationoftwonewhamiltonianchaoticsystems AT zenghuiwang energyconservationsingularorbitsandfpgaimplementationoftwonewhamiltonianchaoticsystems AT zengqiangchen energyconservationsingularorbitsandfpgaimplementationoftwonewhamiltonianchaoticsystems |