A new six‐dimensional hyperchaotic system and its secure communication circuit implementation

Jing, Wang; Yu, Wenxin; Wang, Junnian; Zhao, Yanming; Zhang, Jing; Jiang, Dan

doi:10.1002/cta.2617

Cited by 41 publications

(15 citation statements)

References 23 publications

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“…The work on applications of chaotic synchronization in secure communication has grown dramatically in recent years [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Developing control systems for synchronization of various chaotic systems has been one of the main focuses of prior works, aiming to improve security in communication.…”

Section: Introductionmentioning

confidence: 99%

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Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

Javan

Shoeibi

Zare

et al. 2021

Sensors

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In this paper, the multi-state synchronization of chaotic systems with non-identical, unknown, and time-varying delay in the presence of external perturbations and parametric uncertainties was studied. The presence of unknown delays, unknown bounds of disturbance and uncertainty, as well as changes in system parameters complicate the determination of control function and synchronization. During a synchronization scheme using a robust-adaptive control procedure with the help of the Lyapunov stability theorem, the errors converged to zero, and the updating rules were set to estimate the system parameters and delays. To investigate the performance of the proposed design, simulations have been carried out on two Chen hyper-chaotic systems as the slave and one Chua hyper-chaotic system as the master. Our results showed that the proposed controller outperformed the state-of-the-art techniques in terms of convergence speed of synchronization, parameter estimation, and delay estimation processes. The parameters and time delays were achieved with appropriate approximation. Finally, secure communication was realized with a chaotic masking method, and our results revealed the effectiveness of the proposed method in secure telecommunications.

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Section: Introductionmentioning

confidence: 99%

“…Jing Wang et al [ 35 ] conducted the implementation of analog hardware for a synchronization method; the chaotic system tested in this method is six-dimensional. In order to implement the hardware, all conditions are considered so that the theory of the proposed scheme is consistent with the simulation results.…”

Section: Introductionmentioning

confidence: 99%

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

Javan

Shoeibi

Zare

et al. 2021

Sensors

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“…Chaotic and hyperchaotic systems have been used in most diverse contexts, including nonlinear identification [27]- [29], observation and control [30], [31], economy [32], [33], welding [34], [35], and secure communication [11], [21], [36], [37], [39]- [42]. In particular, chaos-based cryptography is a very active research topic in the literature, which is motivated by the pseudo-random behavior observed in chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Gularte¹,

Alves²,

Vargas³

et al. 2021

IEEE Access

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This paper proposes a scheme for secure telecommunication based on the projective synchronization of hyperchaotic systems. The design of the synchronizer considers the presence of disturbances to increase the robustness of the method. The main advantage of the proposed approach lies in that only two control inputs are required to synchronize the master and slave systems. Hence, the control structure is simple, which, in turn, simplifies the applications. Based on Lyapunov theory, the proposed approach ensures the finite-time convergence of the synchronization error to a small neighborhood of the origin, even in the presence of disturbances in all states. Simulations to both show the advantages and applications of the proposed approach were also accomplished to validate the theory.

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“…Chang [28] gave an idea of stability, chaos detection, and quenching chaos for the swing equation system. Wang et al [29] developed the six-dimensional hyperchaotic system and applied for secure communication circuit implementation. Wolf et al [30] introduced the main calculations that permit the assessment of nonnegative Lyapunov types from an exploratory time arrangement.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Oscillation of Satellite due to Aerodynamic Torque

Bhardwaj

Sajid

2021

Advances in Astronomy

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This study presents the chaotic oscillation of the satellite around the Earth due to aerodynamic torque. The orbital plane of the satellite concurs is same as the tropical plane of Earth. The half-width of riotous separatrix is assessed utilizing Chirikov’s measure. Variety of boundary techniques shows that streamlined force boundary (ɛ), unpredictability of circle (e), and mass-proportion (ω0) convert normal wavering to the disorganized one. We studied the behavior of trajectories due to change in parameters with Lyapunov exponents and time series plots. The theory is applied to Resourcesat-1, an artificial satellite of the Earth.

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A new six‐dimensional hyperchaotic system and its secure communication circuit implementation

Cited by 41 publications

References 23 publications

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

Chaotic Oscillation of Satellite due to Aerodynamic Torque

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