Dynamics analysis, adaptive control, synchronization and anti-synchronization of a novel modified chaotic financial system

Dousseh, Paul Yaovi; Monwanou, A. V.; Koukpémèdji, A. A.; Miwadinou, C. H.; Orou, J. B. Chabi

doi:10.1007/s40435-022-01003-6

Cited by 9 publications

(10 citation statements)

References 53 publications

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“…In this section, the dynamic analysis of a financial system is presented, represented by a mathematical model with three degrees of freedom; it was also recently considered in [5,7].…”

Section: Dynamic Analysismentioning

confidence: 99%

“…In recent years, modeling financial and economic systems with chaotic behavior as non-linear systems has aroused the interest of researchers in various fields of knowledge [1]. Financial systems are intricate non-linear systems that interact with the environment and contain many complex factors, making it practically impossible to make convincing economic predictions for financial systems with chaotic behavior, justifying the relevance of studying their dynamics and control projects [2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…The application of adaptive control to stop the chaotic behavior of a financial system was considered in [15]. In [7], the dynamic analysis of an economic system with chaotic behavior was performed through bifurcation diagrams and Lyapunov exponent calculation. To eliminate chaotic behavior, the introduction of an adaptive control system was considered.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the previous works, we present an extensive investigation of the financial system proposed by [5] and considered in [7], evaluating the system in integer and fractional order. The present work contributes to the body of knowledge by studying the influence of the six main parameters of the mathematical model through diagrams, bifurcation diagrams, and the Lyapunov exponent in case the system is in integer order.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis and Control of a Financial System with Chaotic Behavior Including Fractional Order

et al. 2023

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This paper presents the results of investigating the dynamics of an economic system with chaotic behavior and a suboptimal control proposal to suppress the chaotic behavior. Numerical results using phase portraits, bifurcation diagrams, Lyapunov exponents, and 0-1 testing confirmed chaotic and hyperchaotic behavior. The results also proved the effectiveness of the control, showing errors below 1%, even in cases where the control design is subject to parametric errors. Additionally, an investigation of the system in fractional order is included, demonstrating that the system has periodic, constant, or chaotic behavior for specific values of the order of the derivative.

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“…In this section, the dynamic analysis of a financial system is presented, represented by a mathematical model with three degrees of freedom; it was also recently considered in [5,7].…”

Section: Dynamic Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic Analysis and Control of a Financial System with Chaotic Behavior Including Fractional Order

et al. 2023

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“…Adaptive control has been applied to Resistive-Capacitive-Inductive-Shunted Josephson (RCLSJ) junction and low-cost systems. Dousseh et al [6] studied the dynamics and carried out the control and the adaptive synchronization of a finance system to allow a good management of the companies to the economists. Sliding mode control has also been successfully applied to finance systems.…”

Section: Introductionmentioning

confidence: 99%

Melnikov chaos, control and synchronization of fractal Josephson junction

2023

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Josephson junctions due to their memory and non-linearity properties have considerably impacted the exact sciences and technological fields in particular. In this study, we investigate the existence criteria of Smale's horseshoe chaos in a fractal junction by considering the non-harmonic constant of the super current of the junction. After having analytically studied the conditions of existence of this chaos by means of Melnikov's theorem and verifying its predictions by drawing the basins of attraction, we have analyzed the influence of certain control parameters on the dynamics of the system. The control and synchronization of the system have been carried out for its practical use in electronics in integrated circuits , for example, and in telecommunications for the storage of information and the securing of data. The motivation of this study is to bring out the possible and complete dynamics of a fractal junction by considering the non-harmonic constant of the super current of the junction in order to expand the old research work carried out and to promote a more detailed knowledge of the behaviors of this system.

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Bifurcation and chaos of a micro-void centered at the sphere composed of the transversely isotropic incompressible Gent–Thomas materials

Ma,

Zhao,

Zhang

et al. 2023

Int. J. Dynam. Control

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Dynamics analysis, adaptive control, synchronization and anti-synchronization of a novel modified chaotic financial system

Cited by 9 publications

References 53 publications

Dynamic Analysis and Control of a Financial System with Chaotic Behavior Including Fractional Order

Dynamic Analysis and Control of a Financial System with Chaotic Behavior Including Fractional Order

Melnikov chaos, control and synchronization of fractal Josephson junction

Bifurcation and chaos of a micro-void centered at the sphere composed of the transversely isotropic incompressible Gent–Thomas materials

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