Synchronization of a Hyperchaotic Finance System

Chen, Huangen; Yu, Lu; Wang, Yilin; Guo, Miaomei

doi:10.1155/2021/6618435

Cited by 8 publications

(5 citation statements)

References 37 publications

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“…Several numerical solution algorithms exist for fractional-order continuous systems, such as the frequency domain method (FDM), the Adams-Bashforth-Moulton algorithm (ABM), and the Adomian decomposition method (ADM) [35]. Due to its higher computational accuracy, the ADM is used in this paper.…”

Section: Algorithmsmentioning

confidence: 99%

“…On the other hand, many researchers [31][32][33][34][35][36][37][38][39] have shown great interest in the subjects of chaotic synchronization and control. Various control methods have been developed to regulate synchronization behavior, such as adaptive control [36], feedback control [37], impulsive control [38], intermittent control [39], and so on.…”

Section: Introductionmentioning

confidence: 99%

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Fractional-Order Financial System and Fixed-Time Synchronization

Peng

Zheng

2022

Fractal Fract

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This study is concerned with the dynamic investigation and fixed-time synchronization of a fractional-order financial system with the Caputo derivative. The rich dynamic behaviors of the fractional-order financial system with variations of fractional orders and parameters are discussed analytically and numerically. Through using phase portraits, bifurcation diagrams, maximum Lyapunov exponent diagrams, 0–1 testing and time series, it is found that chaos exists in the proposed fractional-order financial system. Additionally, a complexity analysis is carried out utilizing approximation entropy SE and C0 complexity to detect whether chaos exists. Furthermore, a synchronization controller and an adaptive parameter update law are designed to synchronize two fractional-order chaotic financial systems and identify the unknown parameters in fixed time simultaneously. The estimate of the setting time of synchronization depends on the parameters of the designed controller and adaptive parameter update law, rather than on the initial conditions. Numerical simulations show the effectiveness of the theoretical results obtained.

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Section: Algorithmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional-Order Financial System and Fixed-Time Synchronization

Peng

Zheng

2022

Fractal Fract

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“…To some extent, the random immunization strategy can decrease the spreading rate λ by a factor 1 − p. Thus Eqs. ( 9)- (11) become…”

Section: Random Immunizationmentioning

confidence: 99%

“…The bulk of rumor diffusion models have been investigated on the basis of epidemic spreading models because of many similar features between the two forms of transmission. [5,6] A portion of scholars tried their best to extend the standard SIR model [7] to other complicated models, including the SEIR diffusion model, [8] DI-SCIR model, [9] SHIR mode, [10] ISCR rumor spreading model, [11] etc. Li et al [12] considered that the node of the Hibernator coming from the spreaders due to forgetting factors and later becoming spreaders again was introduced in the diffusion model.…”

Section: Introductionmentioning

confidence: 99%

Correlation and trust mechanism-based rumor propagation model in complex social networks

Sun¹,

Wang²,

Cang³

2022

Chinese Phys. B

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In real life, the process of rumor propagation is influenced by many factors. The complexity and uncertainty of human psychology make the diffusion model more challenging to depict. In order to establish a comprehensive propagation model, in this paper, we take some psychological factors into consideration to mirror rumor propagation. Firstly, we use the Ridenour model to combine the trust mechanism with the correlation mechanism and propose a modified rumor propagation model. Secondly, mean-field equations which describe the dynamics of the modified SIR model on homogenous and heterogeneous networks are derived. Thirdly, a steady-state analysis is conducted for the spreading threshold and the final rumor size. Fourthly, we investigate rumor immunization strategies and obtain immunization thresholds. Next, simulations on different networks are carried out to verify the theoretical results and the effectiveness of the immunization strategies. The results indicate that the utilization of trust and correlation mechanisms leads to a larger final rumor size and a smaller terminal time. Moreover, different immunization strategies have disparate effectiveness in rumor propagation.

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“…The techniques of passive control and SMC have been adopted for realizing the synchronization between two identical CFSs [13]. The topic of synchronizing hyperchaotic finance systems has been discussed by the latest efforts of [14] and [15] with implementing appropriate controllers. Besides, for the fractional-order CF-S, the stability of equilibrium solution has been qualitatively analyzed by [16].…”

Section: Introductionmentioning

confidence: 99%

Realizing stochastic fixed-time synchronization between two nonlinear chaotic finance systems

Wu,

Pan,

et al. 2023

Int. J. Mod. Phys. C

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The issue of stochastic fixed-time synchronization (SFxS) between two nonlinear chaotic finance systems (CFSs) in noisy environment is addressed by this investigation. Two novel strategies, including the adaptive and fixed-time control, are integrated organically, which steers the CFSs to realize synchronization within a fixed-time, and meanwhile the controlling gains can be updated by the designed adaptive law. Particularly, the designed adaptive fixed-time controlling (AFC) scheme is differentiable, so that the chattering phenomenon can be alleviated and even eliminated effectively. Furthermore, by the stochastic Lyapunov stability analysis, the sufficient criterion is derived for realizing the SFxS of CFSs, and the upper-bound expectation of settling-time (UET) is estimated as well. At last, the numerical experiments are arranged to verify the correctness and feasibility of analytical results, the influence of noisy perturbation on the convergence rate is uncovered, and the interesting similar Dragon–King events are observed.

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Synchronization of a Hyperchaotic Finance System

Cited by 8 publications

References 37 publications

Fractional-Order Financial System and Fixed-Time Synchronization

Fractional-Order Financial System and Fixed-Time Synchronization

Correlation and trust mechanism-based rumor propagation model in complex social networks

Realizing stochastic fixed-time synchronization between two nonlinear chaotic finance systems

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