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Design and dynamics of the multicavity hyperchaotic map based on offset boosting

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Abstract

This paper presents a novel methodology that the offset boosting is applied to construct discrete multicavity chaotic maps for the first time. To use this method, three new hyperchaotic maps with the hemispherical-cylindrical attractor are built based on the spherical structure. The phase spaces of the new chaotic maps are larger and the dynamics are more complex. The results show that the new maps display complex dynamical characteristics, including hyperchaos, large Lyapunov exponent, high complexity and coexisting attractors. By introducing constants into the equations, the discrete multicavity chaotic maps are obtained successfully. The dynamical performance of the new chaotic maps and distribution of cavities can be easily controlled by adjusting the constants. Furthermore, to verify the feasibility of the applications, the digital circuits of the new chaotic maps are implemented based on DSP technique. Instead of using staircase wave function, the new approach is proposed to extend the attractor phase space, which has great application prospects in secure communication.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The data that support the findings of this study are available from the corresponding author upon reasonable request.]

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Acknowledgements

This work was supported by the Natural Science Foundation of China (Nos. 62071496, 61901530, 62061008), the Natural Science Foundation of Hunan Province (No.2020JJ5767).

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Authors and Affiliations

  1. School of Physics and Electronics, Central South University, Changsha, 410083, China

    Ziwei Liang, Kehui Sun & Shaobo He

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  1. Ziwei Liang
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  2. Kehui Sun
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  3. Shaobo He
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Correspondence to Kehui Sun.

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Liang, Z., Sun, K. & He, S. Design and dynamics of the multicavity hyperchaotic map based on offset boosting. Eur. Phys. J. Plus 137, 51 (2022). https://doi.org/10.1140/epjp/s13360-021-02278-y

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-02278-y

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