Impulsive Synchronization and Its Implementation in Chen–lee Systems

Tam, Lap Mou; Lao, Seng-Kin; Sheu, Long-Jye; Chen, Hsien-Keng

doi:10.1142/s0217979211101430

Cited by 3 publications

(1 citation statement)

References 20 publications

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“…In the last two decades, research in chaotic dynamic systems has received a great deal of interest among scientists from various kinds of fields [1][2][3][4][5][6], which is an interdisciplinary research topic and well-famous for its complicated behaviors and sensitivity with initial conditions. Therefore, researchers from different fields are all devoted to discovering the applications and extending the usages of the complex chaotic dynamics, such as engineering applications [7][8][9], fractional-order analysis [10][11][12], information processing [13,14], fault diagnosis [15][16][17], encryption and secure communication [18][19][20], and so forth.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Control of Chaotic Signals: Investigated by Simulation Software and Real Electronic Circuits

Yang

Chang

2021

Actuators

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Chaotic behavior is complicated, sensitive, and has the feature of great variety, which are the most potential signals to be applied in data encryption, secure communication, medical information protection, etc. As a consequence, in this paper, we try to propose three different ways to show our data generating results step by step, which means it can be proved effectively and used in practice: (1) Chaotic solutions simulated by MATLAB, (2) chaotic motion drawn via electronic circuits software Multisim, and (3) chaotic signal implemented on real electronic circuits with breadboard. In advance, following the same design principal, the adaptive chaotic signal is also designed and presented in the end of this article for further study, which provides a more flexible and variable chaotic signal to enhance the encryption effectiveness. The experimental results are extremely close to the two simulation results and can definitely be technically transferred to real encryption application.

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Section: Introductionmentioning

confidence: 99%

Adaptive Control of Chaotic Signals: Investigated by Simulation Software and Real Electronic Circuits

Yang

Chang

2021

Actuators

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Adaptive synchronization of complicated chaotic systems with uncertainties via fuzzy modeling-based control strategy

Tam

Chen

2018

Information Sciences

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On stable integral manifolds for impulsive Kolmogorov systems of fractional order

Stamov

Stamova

2017

Mod. Phys. Lett. B

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In this paper, an impulsive Kolmogorov-type system using the Caputo fractional-order derivative is developed. The fractional-order system displays many interesting dynamic behaviors and fractional integrals can be used to describe the fractal media. The existence and stability of integral manifolds for the impulsive fractional model are considered. The main results are proved by means of piecewise continuous Lyapunov functions and the new fractional comparison principle. The impulses are realized at variable impulsive moments of time and can be considered as a control. Finally, an example is given to illustrate our results.

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Impulsive Synchronization and Its Implementation in Chen–lee Systems

Cited by 3 publications

References 20 publications

Adaptive Control of Chaotic Signals: Investigated by Simulation Software and Real Electronic Circuits

Adaptive Control of Chaotic Signals: Investigated by Simulation Software and Real Electronic Circuits

Adaptive synchronization of complicated chaotic systems with uncertainties via fuzzy modeling-based control strategy

On stable integral manifolds for impulsive Kolmogorov systems of fractional order

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