Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos
Conservative chaotic systems have potentials in engineering application because of their superiority over the dissipative systems in terms of ergodicity and integer dimension. In this paper, five-dimension Euler equations are constructed by integrating two of sub-Euler equations, which are contribut...
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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/10.1155/2020/4627597 |
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| author | Enzeng Dong Xiaodong Jiao Shengzhi Du Zengqiang Chen Guoyuan Qi |
| author_facet | Enzeng Dong Xiaodong Jiao Shengzhi Du Zengqiang Chen Guoyuan Qi |
| author_sort | Enzeng Dong |
| collection | DOAJ |
| description | Conservative chaotic systems have potentials in engineering application because of their superiority over the dissipative systems in terms of ergodicity and integer dimension. In this paper, five-dimension Euler equations are constructed by integrating two of sub-Euler equations, which are contributory to the exploration of higher-dimensional systems. These Euler equations compose the conservative parts from their antisymmetric structure, which have been proved to be both Hamiltonian and Casimir energy conservative. Furthermore, a family of Hamiltonian conservative hyperchaotic systems are proposed by breaking the conservation of Casimir energy. The numerical analysis shows that the system displays some interesting behaviors, such as the coexistence of quasi-periodic, chaotic, and hyperchaotic behaviors. Adaptive synchronization method is used to realize the hyperchaos synchronization. Finally, the system passed the NIST tests successfully. Field programmable gate array (FPGA) platform is used to implement the proposed Hamiltonian conservative hyperchaos. |
| format | Article |
| id | doaj-art-5d44a4e504654fc1b8119b6155b1372f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5d44a4e504654fc1b8119b6155b1372f2025-08-20T03:34:44ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/46275974627597Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative HyperchaosEnzeng Dong0Xiaodong Jiao1Shengzhi Du2Zengqiang Chen3Guoyuan Qi4Key Laboratory for Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, ChinaKey Laboratory for Control Theory & Applications in Complicated Systems, Tianjin University of Technology, Tianjin 300384, ChinaDepartment of Mechanical Engineering, Tshwane University of Technology, Pretoria 0001, South AfricaDepartment of Automation, Nankai University, Tianjin 300071, ChinaTianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tiangong University, Tianjin 300387, ChinaConservative chaotic systems have potentials in engineering application because of their superiority over the dissipative systems in terms of ergodicity and integer dimension. In this paper, five-dimension Euler equations are constructed by integrating two of sub-Euler equations, which are contributory to the exploration of higher-dimensional systems. These Euler equations compose the conservative parts from their antisymmetric structure, which have been proved to be both Hamiltonian and Casimir energy conservative. Furthermore, a family of Hamiltonian conservative hyperchaotic systems are proposed by breaking the conservation of Casimir energy. The numerical analysis shows that the system displays some interesting behaviors, such as the coexistence of quasi-periodic, chaotic, and hyperchaotic behaviors. Adaptive synchronization method is used to realize the hyperchaos synchronization. Finally, the system passed the NIST tests successfully. Field programmable gate array (FPGA) platform is used to implement the proposed Hamiltonian conservative hyperchaos.http://dx.doi.org/10.1155/2020/4627597 |
| spellingShingle | Enzeng Dong Xiaodong Jiao Shengzhi Du Zengqiang Chen Guoyuan Qi Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos Complexity |
| title | Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos |
| title_full | Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos |
| title_fullStr | Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos |
| title_full_unstemmed | Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos |
| title_short | Modeling, Synchronization, and FPGA Implementation of Hamiltonian Conservative Hyperchaos |
| title_sort | modeling synchronization and fpga implementation of hamiltonian conservative hyperchaos |
| url | http://dx.doi.org/10.1155/2020/4627597 |
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