Secure communication scheme using chaotic time-varying delayed system

Benkouider, Khaled; Halimi, Meriem; Bouden, Toufik

doi:10.1504/ijcat.2019.100138

Cited by 8 publications

(3 citation statements)

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“…Coexistence of one chaotic attractor starting from ξ 4 and five periodic attractor starting from the other initial conditions are observed when a ∈ [0.13;0.19], (see Fig 14(b) ). When b ∈ [ 2 ; 3 ], the new 10-D hyperchaotic system has coexistence of three chaotic attractors starting from ξ 2 , ξ 3 and ξ 4 and three periodic attractors starting from ξ 1 , ξ 5 and ξ 6 as shown in Fig 14(c) . Dynamics, Kaplan-Yorke fractal dimension and Lyapunov exponents for all coexisting attractors when b ∈ [0.1;3] are listed in Table 7 .…”

Section: Dynamical Analysis Of the New 10-d Hyperchaotic Systemmentioning

confidence: 99%

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A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design

Benkouider

Bouden

Sambas³

et al. 2022

PLoS ONE

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This work introduce a new high dimensional 10-D hyperchaotic system with high complexity and many of coexisting attractors. With the adjustment of its parameters and initial points, the novel system can generate periodic, quasi-periodic, chaotic, and hyperchaotic behaviours. For special values of parameters, we show that the proposed 10-D system has a very high Kaplan-Yorke fractal dimension, which can reach up to 9.067 indicating the very complexity of the 10-D system dynamics. In addition, the proposed system is shown to exhibit at least six varied attractors for the same values of parameters due to its multistability. Regions of multistability are identified by analysing the bifurcation diagrams of the proposed model versus its parameters and for six different values of initial points. Many of numerical plots are given to show the appearance of different dynamical behaviours and the existence of multiple coexisting attractors. The main problem with controlling chaos/hyperchaos systems is that they are not always fully synchronized. therefore, some powerful synchronization techniques should be considered. The synchronization between the high-dimensional 10-D system and a set of three low-dimensional chaotic and hyperchaotic systems is proposed. Ten control functions are designed using the active control method, ensuring synchronisation between the collection of systems and the 10-D hyperchaotic system. Finally, using Multisim 13.0 software to construct the new system’s electronic circuit, the feasibility of the new system with its extremely complicated dynamics is verified. Therefore, the novel 10-D hyperchaotic system can be applied to different chaotic-based application due to its large dimension, complex dynamics, and simple circuit architecture.

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Section: Dynamical Analysis Of the New 10-d Hyperchaotic Systemmentioning

confidence: 99%

“…A small change in the chaotic system’s initial parameters results in significantly varied and unpredictable behaviour. This type of system’s tremendous complexity makes it beneficial in a variety of fields, including secure communication [ 2 – 5 ].…”

Section: Introductionmentioning

confidence: 99%

A new 10-D hyperchaotic system with coexisting attractors and high fractal dimension: Its dynamical analysis, synchronization and circuit design

Benkouider

Bouden

Sambas³

et al. 2022

PLoS ONE

Self Cite

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“…In recent years, the study of chaotic systems become a very interest area of research because of its wide applications in many fields of science such as secure communication and cryptography [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

A snail-shaped chaotic system with large bandwidth: dynamical analysis, synchronization and secure communication scheme

2020

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In this paper, a snail-shaped chaotic system with large bandwidth is first introduced, it contains two quadratic, one cubic and two quartic nonlinear terms. The new snail-shaped autonomous system can exhibit periodic, quasi-periodic and chaotic behaviors with the variations of its parameters. The major properties of the proposed model are discussed using equilibrium points, Kaplan-Yorke dimension, Lyapunov exponents spectrum and bifurcation diagrams. The feasibility of the snail-shaped system is verified by implementing an electronic circuit via Multisim software. The obtained results proving the complex chaotic behavior of the new system, which make it very desirable to use in many fields of engineering especially in secure communication. Also, synchronization between the snail-shaped chaotic system and the Rossler hyperchaotic system is achieved. Finally, a new simple secure communication scheme is developed based on the proposed system and using drive response synchronization in order to prove the success of the new system to complete the encryption/decryption process.

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