2022
DOI: 10.1007/s11071-022-07735-6
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A class of 5D Hamiltonian conservative hyperchaotic systems with symmetry and multistability

Abstract: Conservative chaos systems have been investigated owing to their special advantages. Taking symmetry as a starting point, this study proposes a class of five-dimensional(5D) conservative hyperchaotic systems by constructing a generalized Hamiltonian conservative system. The proposed systems can have different types of coordinate-transformation and time-reversal symmetries. Also, the constructed systems are conservative in both volume and energy. The constructed systems are analyzed, and their conservative and … Show more

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Cited by 12 publications
(7 citation statements)
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“…The investigated chaotic systems in these studies are all five-dimensional conservative systems. Notably, the systems described in references [22] and [22] are conservative hyperchaotic systems, while those in references [25] and [23] are Hamiltonian conservative chaotic systems. By comparing the maximal Lyapunov exponent (LE) of the system s 5 in this paper with that of the other systems listed in the table, it is evident that the maximal Lyapunov index exhibits a significantly higher value than the corresponding values reported in earlier literature.…”
Section: Equilibrium Pointmentioning
confidence: 99%
See 1 more Smart Citation
“…The investigated chaotic systems in these studies are all five-dimensional conservative systems. Notably, the systems described in references [22] and [22] are conservative hyperchaotic systems, while those in references [25] and [23] are Hamiltonian conservative chaotic systems. By comparing the maximal Lyapunov exponent (LE) of the system s 5 in this paper with that of the other systems listed in the table, it is evident that the maximal Lyapunov index exhibits a significantly higher value than the corresponding values reported in earlier literature.…”
Section: Equilibrium Pointmentioning
confidence: 99%
“…However, most of the systems represented by Qi's construction idea are limited to four dimensions [18][19][20], with only a few discussions on five-dimensional systems [21], greatly constraining the richness of conservative chaos theory. In fact, chaotic systems in dimensions higher than or equal to five [22][23][24] exhibit a wider range of diverse and less predictable dynamical behaviors, making them highly promising for various applications. Hyperchaotic systems [25] possess higher complexity and randomness, providing enhanced levels of security and cryptographic resistance [26,27].…”
Section: Introductionmentioning
confidence: 99%
“…Among the available maps, in our proposed work, we mainly concentrate on using 1D maps, namely Sine, Chebyshev, Logistic, and Gaussian maps, for image encryption. Also, a novel 4D map is proposed and is replaced in place of usage of 4 individual maps [21][22]. A brief overview of the 1D map is given in this section.…”
Section: Preliminarymentioning
confidence: 99%
“…Some recent studies show that the traditional encryption algorithms may be difficult to meet the high confidentiality requirements when the computer processes the satellite remote sensing image data. At present, the application of chaotic system for the information encryption becomes one of the most concerned research directions [2][3][4]. Due to the sensitivity and the randomness of the chaotic systems to initial conditions, when facing to the remote sensing image encryption, the encryption schemes based on chaos has particular advantages [5][6][7].…”
Section: Introductionmentioning
confidence: 99%