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 fi...
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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.
Reconfigurable robots refer to the robotic systems which have the ability to transform their morphological structure to adapt to changes in their surroundings. A specialized control system based upon the dynamic chara...
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The work is devoted to first-order quasilinear differential equations with one unknown function, for which the existence and uniqueness of multivalued and classical solutions are studied. It has been established that ...
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ISBN:
(数字)9798350375718
ISBN:
(纸本)9798350375725
The work is devoted to first-order quasilinear differential equations with one unknown function, for which the existence and uniqueness of multivalued and classical solutions are studied. It has been established that for multivalued solutions the Cauchy problem has the largest solution, but for classical ones, generally speaking, it does not.
This article is devoted to solvability of the Cauchy problem for non-autonomous semilinear parabolic second-order partial differential equations on n-dimensional spheres. Such equations are non-homogeneous and non-aut...
This article is devoted to solvability of the Cauchy problem for non-autonomous semilinear parabolic second-order partial differential equations on n-dimensional spheres. Such equations are non-homogeneous and non-autonomous analogs on spheres of the Kolmogorov–Petrovsky–Piskunov and Fischer equations.
The dynamics of fractional-order difference neural networks are currently a major research area, with several noteworthy discoveries. The dynamics of discrete-time neural networks with -fractional nonlocal and nonsing...
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This paper examines the Boost converter's chaotic behavior. A voltage mode controlled technique is being utilized to analyze the discrete-time mapping to determine the properties of the bifurcation that operate in...
This paper examines the Boost converter's chaotic behavior. A voltage mode controlled technique is being utilized to analyze the discrete-time mapping to determine the properties of the bifurcation that operate in a closed loop. By varying some parameters while holding others constant, the reference voltage and input voltage are used to examine the bifurcation diagram. It has been noted that the system becomes unstable and splits into two time-periodic systems, four time – periodic systems and then chaos takes over the system. These occurrences have been shown in the bifurcation diagram, therefore the converter's safe operating range can be determined and verified by using the time-domain waveforms and phase plots.
This paper presents a novel algorithm, IQ-CRL (Improved Q-learning using Classification and Regression with ANN), which is a control architecture that uses the existing Q-learning algorithm and integrates it with Arti...
This paper presents a novel algorithm, IQ-CRL (Improved Q-learning using Classification and Regression with ANN), which is a control architecture that uses the existing Q-learning algorithm and integrates it with Artificial Neural Networks (ANNs). The proposed algorithm addresses the limitations of traditional Q-learning by incorporating an adaptive mechanism that leverages ANN to find an optimal control policy that is more accurate and at lower computational expense. IQ-CRL is designed to be used efficiently with dynamicalsystems such as mobile robots. The objective of this study is to evaluate the performance of IQ-CRL in comparison to classical Q-learning and PID controller. The results show that the IQ-CRL algorithm outperforms both the classical Q-learning and PID controller in terms of learning efficiency, control accuracy and computing complexity.
The work concerns the solvability of one class of semilinear elliptic second-order differential equations on spheres of finite dimension in the class of weak solutions. These equations are inhomogeneous analogs of the...
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In precision agriculture, the problem of constructing covering paths often appears. It consists in planning some route for an agricultural machine that allows to process field without skipping. Nearly parallel paths a...
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