Journal
CHAOS SOLITONS & FRACTALS
Volume 159, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2022.112129
Keywords
Chaos; Coexisting attractor; Discrete chaotic map; Complexity; DSP implementation
Categories
Funding
- National Natural Science Founda-tion of China [62071496]
- Innovation Project of Graduate of Central South University [2021zzts0519]
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In this paper, based on the mathematical expression of the rotating body in the cylindrical coordinate, the empty rotating-body chaotic model (ERCM) and the full rotating-body chaotic model (FRCM) are constructed. These two models have a pair of coexisting attractors with strictly symmetric phase space orbits, which can be used to construct multi-cavity chaotic systems with different attractors. The analysis of the cylindrical ERCM and FRCM demonstrates that these systems have wide chaotic range, large Lyapunov exponent, and high complexity. The DSP implementation of the proposed chaotic systems shows a promising application prospect in engineering.
In this paper, based on the mathematical expression of the rotating body in the cylindrical coordinate, the empty rotating-body chaotic model (ERCM) and the full rotating-body chaotic model (FRCM) are constructed. These two models have a pair of coexisting attractors with strictly symmetric phase space orbits. The two models can be used to construct multi-cavity chaotic systems with different attractors. The cylindrical ERCM and FRCM were analyzed. The results show that the two systems have wide chaotic range, large Lyapunov exponent, and high complexity. The DSP implementation of the proposed chaotic systems indicate that it has a good application prospect in engineering.
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