A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control

Zhang, Zefeng; Huang, Lizhen; Liu, Jin; Qiang, Guo; Du, Xiuli

doi:10.1016/j.chaos.2022.112103

Cited by 18 publications

(11 citation statements)

References 25 publications

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“…Traditional offset boosting adds a constant control to the nonlinear coupling term of a variable that appears only once in the system to convert the system between unipolar and bipolar signals. However, this is not the case in this paper, and we choose a new improved offset boosting method based on the traditional offset boosting [59]. If a constant term m is introduced and z + m is applied to the new fractional-order system, the corresponding system can be described as The parameters a, b, c and k of the system are 12, 100, − 10, and 4.6 respectively, with q = 0.80, and the initial values of the variables were all set to 1.…”

Section: Offset Boosting Analysismentioning

confidence: 98%

A new 3D fractional-order chaotic system with complex dynamics

Wang,

Dong

2023

Phys. Scr.

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Compared to integer-order chaotic systems, fractional-order chaotic systems have more complex dynamical features due to the introduction of order. The application of fractional-order chaotic systems to chaotic cryptosystems makes the cryptosystems with higher security properties. In this paper, we developed a new 3D fractional-order chaotic system from a 3D integer-order chaotic system, and investigate the dynamical behaviors of this fractional-order system with different parameters and orders. Moreover, self-excited attractors appeared at lower orders through circuit simulations. Furthermore, the synchronization of the new fractional-order chaotic system in the presence of systematic uncertainties and perturbations was achieved using the sliding mode control technique, which sets the stage for the implementation of communication. Finally, offset boosting control was used to investigate the utility of the new chaotic system in engineering applications.

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Section: Offset Boosting Analysismentioning

confidence: 98%

A new 3D fractional-order chaotic system with complex dynamics

Wang,

Dong

2023

Phys. Scr.

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“…The offset-boosting is a phenomenon in which the system variables are made to move in space by controlling the initial values or parameters [74,75], essentially by introducing constants into the system model to vary the average value of the state variables and bias the signal [76,77]. When applying chaotic systems to engineering, we always want the amplitude of the system sequence to be adjustable, so offset-boosting is needed [69].…”

Section: Offset-boostingmentioning

confidence: 99%

Finite-time synchronization of fractional-order chaotic system based on hidden attractors

Yan,

Zhang,

Jiang

et al. 2023

Phys. Scr.

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A new 3D fractional-order chaotic system is obtained by improving the Sprott-A system and introducing the definition of fractional calculus to it. Then the new system is certified to be chaotic by studying and analyzing the phase diagram, Lyapunov exponents, and smaller alignment index tests. Then the analysis of equilibrium points finds that the new system has virtually no equilibrium points and hidden attractors. The new system is dynamically analyzed by bifurcation diagram, time-domain waveform and complexity, it is indicated that the system is susceptible to initial conditions, and with the changes of different parameters the system produced different scroll types of attractors. In addition, to verify the feasibility of the system, a simulation circuit design based on Multisim is therefore carried out. Finally, the finite-time synchronization of the fractional-order system is successfully achieved by taking advantage of the high security of the hidden attractors.

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“…In order to change this situation, Li [27] proposed a chaotic amplitude control method; by introducing a constant term into the system, ofset boosting can be achieved, which solves the problem of polarity conversion of chaotic signals; meanwhile, it does not change the dynamics of the system. Since then, many scholars have applied this method to the proposed chaotic systems, such as the ofset boosting control of the integer order chaotic attractor [28,29] and the fractional-order chaotic attractor [30,31]. Here, the original system is converted into a self-replicating system, resulting in an infnite number of attractors with extreme multistability.…”

Section: Introductionmentioning

confidence: 99%

Complex Dynamic Analysis, Circuit Design and Simplified Predefined Time Synchronization for a Jerk Absolute Memristor Chaotic System

et al. 2023

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In this parper, a 4D absolute memristor Jerk chaotic system is proposed. Firstly, complex dynamics are studied by phase diagram, Poincaré section, power spectrum, bifurcation diagram, 0-1 test, and Lyapunov exponent spectrum. Then, the period doubling bifurcation, degradation, and offset boosting are revealed. For the feasibility of practical application, the analog circuit and FPGA digital circuit are designed. Finally, a simplified predefined time synchronization scheme is proposed; comparing with the full control input synchronization scheme, the simplified predefined time synchronization scheme can not only reduce the controller inputs but also predefine the synchronization time.

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A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control

Cited by 18 publications

References 25 publications

A new 3D fractional-order chaotic system with complex dynamics

A new 3D fractional-order chaotic system with complex dynamics

Finite-time synchronization of fractional-order chaotic system based on hidden attractors

Complex Dynamic Analysis, Circuit Design and Simplified Predefined Time Synchronization for a Jerk Absolute Memristor Chaotic System

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