Coexistence of attractors in four-dimensional chaotic system with a wide range of parameters
An newly-developed four-dimensional chaotic system is proposed to address the complex chaotic systems required for image encryption and secure communication. Based on the three-dimensional chaotic system constructed by YANG and CHENG, the fourth dimension is added to obtain the new four-dimensional...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Science Press (China Science Publishing & Media Ltd.)
2024-01-01
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| Series: | Shenzhen Daxue xuebao. Ligong ban |
| Subjects: | |
| Online Access: | https://journal.szu.edu.cn/en/#/digest?ArticleID=2587 |
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| Summary: | An newly-developed four-dimensional chaotic system is proposed to address the complex chaotic systems required for image encryption and secure communication. Based on the three-dimensional chaotic system constructed by YANG and CHENG, the fourth dimension is added to obtain the new four-dimensional chaotic system. The dynamic analysis of new system is carried out by using bifurcation diagrams and Lyapunov exponent spectra, which indicates the existence of chaotic characteristics over a large parameter range. By changing the initial values of system, coexistence of various attractors such as periodic with periodic, periodic with quasiperiodic, and chaotic with multiple attractors are obtained. The use of multi-angle observation of phase portrait and Poincare section shows that the parameter k of system can control the attractor scaling in phase space, and the attractor phase diagram can further stop shrinking when k reaches a certain value. By designing an offset boosting controller for new system, it is demonstrated that the system can change signal polarity in engineering applications. NIST test results show that the new system has positive pseudo-randomness. The new system has great potential value in practical applications. |
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| ISSN: | 1000-2618 |