Synchronization of fractional-order Lü chaotic oscillators for voice encryption

García-Sepúlveda, O.; Posadas–Castillo, C.; Cortés-Preciado, A. D.; Platas-Garza, Miguel Angel; Garza‐González, Elvira; Soriano-Sánchez, Allan G.

doi:10.31349/revmexfis.66.364

Cited by 11 publications

(11 citation statements)

References 3 publications

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“…4) The voice cryptosystem presented in this research has a higher security level than the voice cryptosystems suggested in [10], [11], [13], [14], and [17] because of its large key space.…”

Section: Introductionmentioning

confidence: 95%

Design of a new voice cryptosystem based on the global Mittag-Leffler synchronization of mismatched chaotic systems with unknown parameters, fractional orders, time delays and external disturbances

Razmara

Yahyazadeh

Marj

2022

Preprint

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In this research, first two chaotic systems with unknown parameters, mismatched structures, different fractional derivative orders, non-identical time delays, and external disturbances are synchronized based on the Mittag-Leffler stability analysis. Then, using the synchronized systems, a new voice cryptosystem is designed to securely send voice messages via public communication channels. Finally, numerical simulations confirm that the designed voice cryptosystem possesses an easier practical implementation, more secure and accurate results, and a higher security level than previous voice cryptosystems.

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“…4) The voice cryptosystem presented in this research has a higher security level than the voice cryptosystems suggested in [10], [11], [13], [14], and [17] because of its large key space.…”

Section: Introductionmentioning

confidence: 95%

Design of a new voice cryptosystem based on the global Mittag-Leffler synchronization of mismatched chaotic systems with unknown parameters, fractional orders, time delays and external disturbances

Razmara

Yahyazadeh

Marj

2022

Preprint

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“…In this section, we design electronic circuits based on the building blocks of Figure 2 and the fractional integrators of Figure 3 to realize commensurate fractional-order Lü chaotic system, i.e., system with equal fractional order for integrators. A commensurate realization is acceptable to test the functionality and benefits of using the active fractionalorder integrators of Figure 3, but incommensurate fractional-order oscillators, as those reported in [45][46][47] or [48] can also be realized with the proposed approach without increasing hardware requirements. In fact, the proposed approach is an attractive alternative for the design of incommensurate fractional-order oscillators because it is necessary to calculate the parameter A using (17) instead of designing ladder networks.…”

Section: Fractional-order Multiscroll Lü Chaotic Systemmentioning

confidence: 99%

Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems

et al. 2021

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This paper presents the design, simulation, and experimental verification of the fractional-order multiscroll Lü chaotic system. We base them on op-amp-based approximations of fractional-order integrators and saturated series of nonlinear functions. The integrators are first-order active realizations tuned to reduce the inaccuracy of the frequency response. By an exponential curve fitting, we got a convenient design equation for realizing fractional-order integrators of orders from 0.1 to 0.95. The results include simulations in SPICE of the mathematical description and the electronic implementation and experimental measurements that confirm them. Monte Carlo and sensitivity tests revealed a robust realization. Contrary to its passive counterparts, the suggested realizations significantly reduce design and implementation efforts by favoring resistors and capacitors with commercial values and reducing hardware requirements.

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“…Chaos synchronization has garnered substantial interest and research over the last few years because of its tenacity in numerous fields, including secure communication, physical science, chemical reactors, and information processing. Numerous intriguing discoveries have been found thus far on chaotic synchronization [9][10][11][12][13]. However, the widely held research is based on synchronization asymptotically.…”

Section: Introductionmentioning

confidence: 99%

Results for Chaos Synchronization with New Multi-Fractional Order of Neural Networks by Multi-Time Delay

Latiff

Othman

2021

Complexity

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A new finding is proposed for multi-fractional order of neural networks by multi-time delay (MFNNMD) to obtain stable chaotic synchronization. Moreover, our new result proved that chaos synchronization of two MFNNMDs could occur with fixed parameters and initial conditions with the proposed control scheme called sliding mode control (SMC) based on the time-delay chaotic systems. In comparison, the fractional-order Lyapunov direct method (FLDM) is proposed and is implemented to SMC to maintain the systems’ sturdiness and assure the global convergence of the error dynamics. An extensive literature survey has been conducted, and we found that many researchers focus only on fractional order of neural networks (FNNs) without delay in different systems. Furthermore, the proposed method has been tested with different multi-fractional orders and time-delay values to find the most stable MFNNMD. Finally, numerical simulations are presented by taking two MFNNMDs as an example to confirm the effectiveness of our control scheme.

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Synchronization of fractional-order Lü chaotic oscillators for voice encryption

Cited by 11 publications

References 3 publications

Design of a new voice cryptosystem based on the global Mittag-Leffler synchronization of mismatched chaotic systems with unknown parameters, fractional orders, time delays and external disturbances

Design of a new voice cryptosystem based on the global Mittag-Leffler synchronization of mismatched chaotic systems with unknown parameters, fractional orders, time delays and external disturbances

Active Realization of Fractional-Order Integrators and Their Application in Multiscroll Chaotic Systems

Results for Chaos Synchronization with New Multi-Fractional Order of Neural Networks by Multi-Time Delay

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