Arduino-based chaotic secure communication system using multi-directional multi-scroll chaotic oscillators

Pano-Azucena, Ana Dalia; Rangel-Magdaleno, José; Tlelo‐Cuautle, Esteban; Quintas-Valles, Antonio de Jesus

doi:10.1007/s11071-016-3184-4

Cited by 88 publications

(34 citation statements)

References 27 publications

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“…As long as the error system is stable, it is possible to synchronize two different chaotic systems with different parameters. According to Lemma 2 of the Mittag-Leffler stability theory, we construct the Lyapunov control function (17) by taking e 1 , e 2 , e 3 , e 4 , andâ − a 1 as variables.…”

Section: Adaptive Synchronization For Determined Parametersmentioning

confidence: 99%

“…Subsequently, on the basis of these classical systems, novel variations on chaotic systems have been studied [7][8][9][10]. Due to their very rich dynamics and complex characteristics, these nonlinear chaotic systems have been applied in many fields, such as meteorology [11,12], mechanics [13][14][15], and secure communication [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag–Leffler Stability

Liu

Zhang

et al. 2019

Entropy

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Compared with fractional-order chaotic systems with a large number of dimensions, three-dimensional or integer-order chaotic systems exhibit low complexity. In this paper, two novel four-dimensional, continuous, fractional-order, autonomous, and dissipative chaotic system models with higher complexity are revised. Numerical simulation of the two systems was used to verify that the two new fractional-order chaotic systems exhibit very rich dynamic behavior. Moreover, the synchronization method for fractional-order chaotic systems is also an issue that demands attention. In order to apply the Lyapunov stability theory, it is often necessary to design complicated functions to achieve the synchronization of fractional-order systems. Based on the fractional Mittag–Leffler stability theory, an adaptive, large-scale, and asymptotic synchronization control method is studied in this paper. The proposed scheme realizes the synchronization of two different fractional-order chaotic systems under the conditions of determined parameters and uncertain parameters. The synchronization theory and its proof are given in this paper. Finally, the model simulation results prove that the designed adaptive controller has good reliability, which contributes to the theoretical research into, and practical engineering applications of, chaos.

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Section: Adaptive Synchronization For Determined Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag–Leffler Stability

Liu

Zhang

et al. 2019

Entropy

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“…Fourth analog chaotic oscillator which undergoes veri¯cation through simulation is given by the di®erential equations (27) together with a parameter choice (28). Generated chaotic signals in time and frequency domain (wideband linear-scaled axis 0 kHz to 200 kHz is visualized) are shown in Fig.…”

Section: Orcad Pspice Circuit Simulationsmentioning

confidence: 99%

“…[24][25][26][27] Interesting implementation of grid spiral attractors using Arduino open source integrated development environment is presented in Ref. 28 together with the application of chaos in the selected secure communication issues.…”

Section: Introductionmentioning

confidence: 99%

Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium

Petržela

Götthans

Guzan

2018

J CIRCUIT SYST COMP

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This review paper describes di®erent lumped circuitry realizations of the chaotic dynamical systems having equilibrium degeneration into a plane object with topological dimension of the equilibrium structure equals one. This property has limited amount (but still increasing, especially recently) of third-order autonomous deterministic dynamical systems. Mathematical models are generalized into classes to design analog networks as universal as possible, capable of modeling the rich scale of associated dynamics including the so-called chaos. Reference state trajectories for the chaotic attractors are generated via numerical analysis. Since used active devices can be precisely approximated by using third-level frequency dependent model, it is believed that computer simulations are close enough to capture real behavior. These simulations are included to demonstrate the existence of chaotic motion.

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“…Unstable Dissipative Systems Theory. In the same spirit as [13,24,25], it is considered as a system of autonomous differential equations of third order,…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF

et al. 2018

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This work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. By means of the modification of the newly introduced parameter, it is possible to control the number of scrolls to generate. The proposed system has richer dynamics than the original, not only presenting the generation of a global attractor; it is capable of generating monostable and bistable multiscrolls. The study of the basin of attraction for the natural attractor generation (9-scroll SNLF) shows the restrictions in the initial conditions space where the system is capable of presenting dynamical responses, limiting its possible electronic implementations.

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Arduino-based chaotic secure communication system using multi-directional multi-scroll chaotic oscillators

Cited by 88 publications

References 27 publications

Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag–Leffler Stability

Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag–Leffler Stability

Current-Mode Network Structures Dedicated for Simulation of Dynamical Systems with Plane Continuum of Equilibrium

Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF

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