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Intelligent Networks for Chaotic Fractional-Order Nonlinear financial model

Computers, Materials & Continua 2022年第9期72卷 5015-5030页

作者： Prem Junswang Zulqurnain Sabir Muhammad Asif Zahoor Raja Waleed Adel Thongchai Botmart Wajaree Weera Department of Statistics Faculty of ScienceKhon Kaen UniversityKhon Kaen 40002Thailand Department of Mathematics and Statistics Hazara UniversityMansehraPakistan Department of Electrical Engineering COMSATS Institute of Information TechnologyAttockPakistan Department of Mathematics and Engineering Physics Faculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise D’Egypte Ismailia Desert RoadEl-ShoroukCairoEgypt Department of Mathematics Faculty of ScienceKhon Kaen UniversityKhon Kaen 40002Thailand

The purpose of this paper is to present a numerical approach based on the artificial neural networks(ANNs)for solving a novel fractional chaotic financial model that represents the effect of memory and chaos in the presented *** method is constructed with the combination of the ANNs along with the Levenberg-Marquardt backpropagation(LMB),named the *** technique is tested for solving the novel problem for three cases of the fractional-order values and the obtained results are compared with the reference *** numbers neurons have been used to solve the fractional-order chaotic financial *** selection of the data to solve the fractional-order chaotic financial model are selected as 75%for training,10%for testing,and 15%for *** results indicate that the presented approximate solutions fit exactly with the reference solution and the method is effective and *** obtained results are testified to reduce the mean square error(MSE)for solving the fractional model and verified through the various measures including correlation,MSE,regression histogram of the errors,and state transition(ST).

关键词： financial model chaotic fractional-order reference dataset artificial neural networks levenberg-marquardt backpropagation

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An Intelligence Computational Approach for the Fractional 4D Chaotic financial model

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Computers, Materials & Continua 2023年第2期74卷 2711-2724页

作者： Wajaree Weera Thongchai Botmart Charuwat Chantawat Zulqurnain Sabir Waleed Adel Muhammad Asif Zahoor Raja Muhammad Kristiawan Department of Mathematics Faculty of ScienceKhon Kaen UniversityKhon Kaen40002Thailand Department of Mathematics and Statistics Hazara UniversityMansehraPakistan Department of Mathematical Sciences United Arab Emirates UniversityP.O.Box 15551Al AinUAE Department of Mathematics and Engineering Physics Faculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise D’Egypte Ismailia Desert RoadEl-ShoroukCairoEgypt Future Technology Research Center National Yunlin University of Science and Technology123 University RoadSection 3DouliouYunlin 64002Taiwan Science of Education Universitas BengkuluBengkulu CityIndonesia

The main purpose of the study is to present a numerical approach to investigate the numerical performances of the fractional 4-D chaotic financial system using a stochastic *** stochastic procedures mainly depend on the combination of the artificial neural network(ANNs)along with the Levenberg-Marquardt Backpropagation(LMB)i.e.,ANNs-LMB *** fractional-order term is defined in the Caputo sense and three cases are solved using the proposed technique for different values of the fractional orderα.The values of the fractional order derivatives to solve the fractional 4-D chaotic financial system are used between 0 and *** data proportion is applied as 73%,15%,and 12%for training,testing,and certification to solve the chaotic fractional *** acquired results are verified through the comparison of the reference solution,which indicates the proposed technique is efficient and *** 4-D chaotic model is numerically solved by using the ANNs-LMB technique to reduce the mean square error(MSE).To authenticate the exactness,and consistency of the technique,the obtained performances are plotted in the figures of correlation measures,error histograms,and *** these figures,it can be witnessed that the provided technique is effective for solving such models to give some new insight into the physical behavior of the model.

关键词： financial model chaotic Levenberg-Marquardt Backpropagation fractional order artificial neural networks reference dataset

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On fractional discrete financial system:Bifurcation,chaos,and control

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Chinese Physics B 2024年第10期33卷 129-140页

作者： Louiza Diabi Adel Ouannas Amel Hioual Shaher Momani Abderrahmane Abbes Laboratory of Dynamical Systems and Control University of Larbi Ben M’hidiOum El Bouaghi 04000Algeria Department of Mathematics and Computer Science University of Larbi Ben M’hidiOum El Bouaghi 04000Algeria Nonlinear Dynamics Research Center Ajman UniversityAjman 346United Arab Emirates Department of Mathematics The University of JordanAmman 11942Jordan Laboratory of Mathematics Dynamics and ModelizationUniversity Badji MokhtarAnnaba 23000Algeria

The dynamic analysis of financial systems is a developing field that combines mathematics and economics to understand and explain fluctuations in financial *** paper introduces a new three-dimensional(3D)fractional financial map and we dissect its nonlinear dynamics system under commensurate and incommensurate *** such,we evaluate when the equilibrium points are stable or unstable at various fractional *** use many numerical methods,phase plots in 2D and 3D projections,bifurcation diagrams and the maximum Lyapunov *** techniques reveal that financial maps exhibit chaotic attractor *** study is grounded on the Caputo-like discrete operator,which is specifically influenced by the variance of the commensurate and incommensurate ***,we confirm the presence and measure the complexity of chaos in financial maps by the 0-1 test and the approximate entropy ***,we offer nonlinear-type controllers to stabilize the fractional financial *** numerical results of this study are obtained using MATLAB.

关键词： financial model stability chaos commensurate and incommensurate orders complexity

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一种联动可调的行为化战略控制系统构建方法研究

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企业管理研究 2012年第7期

作者：罗彪王猛

企业战略控制能力决定了战略执行的效率与效果。传统战略控制理论侧重于对控制方法的系统性研究，却对控制系统本身的执行效率问题缺乏关注。基于控制论的基本原理，在回顾传统战略控制理论的基础上，指出其在控制效度和控制载体上存在... 详细信息

企业战略控制能力决定了战略执行的效率与效果。传统战略控制理论侧重于对控制方法的系统性研究，却对控制系统本身的执行效率问题缺乏关注。基于控制论的基本原理，在回顾传统战略控制理论的基础上，指出其在控制效度和控制载体上存在的问题，并根据三类经典控制工具，提出了一种具备联动可调功能的战略控制系统。通过嵌套使用平衡计分卡、财务模型与计划甘特图，企业的战略规划可不断转化为战略行动计划，并在实施过程中实现联动性调整。

关键词：战略控制平衡计分卡财务模型计划甘特图 strategic control balanced score card financial model planning Gantt chart

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