AIMS Mathematics最新文献_第4页

A fixed point theorem in strictly convex $ b $-fuzzy metric spaces 严格凸$ b $-模糊度量空间中的不动点定理

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231068

S. Jesic, N. Ćirović, R. Nikolić, Branislav M. Ranƌelović

引用次数: 1

Results on a neutrosophic sub-rings 一个嗜中性子环的结果

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231090

Amr Elrawy, Mohamed A. M. Abdalla

引用次数: 0

Numerical investigation of non-probabilistic systems using Inner Outer Direct Search optimization technique 基于内外直接搜索优化技术的非概率系统数值研究

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231087

P. K. Panigrahi, S. Nayak

{"title":"Numerical investigation of non-probabilistic systems using Inner Outer Direct Search optimization technique","authors":"P. K. Panigrahi, S. Nayak","doi":"10.3934/math.20231087","DOIUrl":"https://doi.org/10.3934/math.20231087","url":null,"abstract":"Fuzzy systems of equations often appear while modeling physical systems with imprecisely defined parameters. Many mathematical methods are available to investigate them, but handling them is challenging due to the computational complexity and difficult implementation. As such, in this paper, the Inner-Outer Direct Search (IODS) optimization technique is extended in the fuzzy environment to solve a fuzzy system of nonlinear equations. The main purpose of the extension is to study the system variables in the presence of fuzzy information. To manage fuzziness, a fuzzy parametric form is employed in the uncertain system and controls the search process toward the optimal solution. The proposed approach of fuzzy IODS converts the fuzzy system of nonlinear equations to an unconstrained fuzzy optimization problem. Then, the unconstrained fuzzy optimization problem is studied through the IODS technique. To solve the unconstrained fuzzy optimization problem, the fuzzy objective function is minimized with the help of exploratory and pattern search approaches. These searches are performed with inner and outer computations. Then, the obtained united solution provides the desired solution which minimizes the objective function. From the same the uncertain system, variables are derived. To verify the solution and proposed algorithm, convergence analysis is performed. Three case studies are considered with only fuzzy and fully fuzzy systems, and various cases are discussed. A comparison with other methods is made to test the efficacy of the method. The proposed algorithm is coded with the help of MATLAB software, and the results are analyzed graphically. Finally, the simple procedure and computationally efficient approach may help to implement the same in many engineering and science problems that can be modeled into systems of equations.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70158760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

On the series solution of the stochastic Newell Whitehead Segel equation 关于随机Newell Whitehead Segel方程的级数解

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231100

J. Hussain

引用次数: 0

A framework for establishing constraint Jacobian matrices of planar rigid-flexible-multibody systems 平面刚柔多体系统约束雅可比矩阵的建立框架

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231096

Lina Zhang, X. Rui, Jianshu Zhang, Guoping Wang, J. Gu, Xizhe Zhang

{"title":"A framework for establishing constraint Jacobian matrices of planar rigid-flexible-multibody systems","authors":"Lina Zhang, X. Rui, Jianshu Zhang, Guoping Wang, J. Gu, Xizhe Zhang","doi":"10.3934/math.20231096","DOIUrl":"https://doi.org/10.3934/math.20231096","url":null,"abstract":"Constraint violation correction is an important research topic in solving multibody system dynamics. For a multibody system dynamics method which derives acceleration equations in a recursive manner and avoids overall dynamics equations, a fast and accurate solution to the violation problem is paramount. The direct correction method is favored due to its simplicity, high accuracy and low computational cost. This method directly supplements the constraint equations and performs corrections, making it an effective solution for addressing violation problems. However, calculating the significant Jacobian matrices for this method using dynamics equations can be challenging, especially for complex multibody systems. This paper presents a programmatic framework for deriving Jacobian matrices of planar rigid-flexible-multibody systems in a simple semi-analytic form along two paths separated by a secondary joint. The approach is verified by comparing constraint violation errors with and without the constraint violation correction in numerical examples. Moreover, the proposed method's computational speed is compared with that of the direct differential solution, verifying its efficiency. The straightforward, highly programmable and universal approach provides a new idea for programming large-scale dynamics software and extends the application of dynamics methods focused on deriving acceleration equations.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70159331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pythagorean fuzzy incidence graphs with application in illegal wildlife trade 毕达哥拉斯模糊关联图及其在野生动物非法贸易中的应用

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231112

Ayesha Shareef, Uzma Ahmad, Saba Siddique, M. M. Al-Shamiri

{"title":"Pythagorean fuzzy incidence graphs with application in illegal wildlife trade","authors":"Ayesha Shareef, Uzma Ahmad, Saba Siddique, M. M. Al-Shamiri","doi":"10.3934/math.20231112","DOIUrl":"https://doi.org/10.3934/math.20231112","url":null,"abstract":"Chemical engineers can model numerous interactions in a process using incidence graphs. They are used to methodically map out a whole network of interconnected processes and controllers to describe each component's impact on the others. It makes it easier to visualize potential process paths or a series of impacts. A Pythagorean fuzzy set is an effective tool to overcome ambiguity and vagueness. In this paper, we introduce the concept of Pythagorean fuzzy incidence graphs. We discuss the incidence path and characterize the strongest incidence path in Pythagorean fuzzy incidence graphs. Furthermore, we propose the idea of Pythagorean fuzzy incidence cycles and Pythagorean fuzzy incidence trees in Pythagorean fuzzy incidence graphs and give some essential results. We illustrate the notions of Pythagorean fuzzy incidence cut vertices, Pythagorean fuzzy incidence bridges, and Pythagorean fuzzy incidence cut pairs. We also establish some results about Pythagorean fuzzy incidence cut pairs. Moreover, we study the types of incidence pairs and determine some crucial results concerning strong incidence pairs in the Pythagorean fuzzy incidence graph. We also obtain the characterization of Pythagorean fuzzy incidence cut pairs using $ alpha $-strong incidence pairs and find the relation between Pythagorean fuzzy incidence trees and $ alpha $-strong incidence pairs. Finally, we provide the application of Pythagorean fuzzy incidence graphs in the illegal wildlife trade.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70160021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Piecewise pseudo almost periodic solutions of interval general BAM neural networks with mixed time-varying delays and impulsive perturbations 具有混合时变时滞和脉冲扰动的区间广义BAM神经网络的分段伪概周期解

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231113

Yanshou Dong, Junfang Zhao, Xu Miao, Ming Kang

引用次数: 0

Operational algebraic properties and subsemigroups of semigroups in view of $ k $-folded $ mathcal{N} $-structures 关于$ k $-折叠$ 数学{N} $-结构的半群的运算代数性质和子半群

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231125

Anas Al-Masarwah, Mohammed Alqahtani

{"title":"Operational algebraic properties and subsemigroups of semigroups in view of $ k $-folded $ mathcal{N} $-structures","authors":"Anas Al-Masarwah, Mohammed Alqahtani","doi":"10.3934/math.20231125","DOIUrl":"https://doi.org/10.3934/math.20231125","url":null,"abstract":"The concept of $ k $-folded $ mathcal{N} $-structures ($ k $-F$ mathcal{N} $Ss) is an essential concept to be considered for tackling intricate and tricky data. In this study, we want to broaden the notion of $ k $-F$ mathcal{N} $S by providing a general algebraic structure for tackling $ k $-folded $ mathcal{N} $-data by fusing the conception of semigroup and $ k $-F$ mathcal{N} $S. First, we introduce and study some algebraic properties of $ k $-F$ mathcal{N} $Ss, for instance, subset, characteristic function, union, intersection, complement and product of $ k $-F$ mathcal{N} $Ss, and support them by illustrative examples. We also propose $ k $-folded $ mathcal{N} $-subsemigroups ($ k $-F$ mathcal{N} $SBs) and $ widetilde{zeta} $-$ k $-folded $ mathcal{N} $-subsemigroups ($ widetilde{zeta} $-$ k $-F$ mathcal{N} $SBs) in the structure of semigroups and explore some attributes of these concepts. Characterizations of subsemigroups are considered based on these concepts. Using the notion of $ k $-folded $ mathcal{N} $-product, characterizations of $ k $-F$ mathcal{N} $SBs are also discussed. Further, we obtain a necessary condition of a $ k $-F$ mathcal{N} $SB to be a $ k $-folded $ mathcal{N} $-idempotent. Finally, relations between $ k $-folded $ mathcal{N} $-intersection and $ k $-folded $ mathcal{N} $-product are displayed, and how the image and inverse image of a $ k $-F$ mathcal{N} $SB become a $ k $-F$ mathcal{N} $SB is studied.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70160690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Discrete Leslie's model with bifurcations and control 离散莱斯利的分岔和控制模型

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231146

A. Khan, Ibraheem M. Alsulami

引用次数: 0

Dynamical complexities and chaos control in a Ricker type predator-prey model with additive Allee effect 具有加性Allee效应的Ricker型捕食-食饵模型的动态复杂性和混沌控制

IF 2.2 3区数学

AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231165

Vinoth Seralan, R. Vadivel, D. Chalishajar, N. Gunasekaran

{"title":"Dynamical complexities and chaos control in a Ricker type predator-prey model with additive Allee effect","authors":"Vinoth Seralan, R. Vadivel, D. Chalishajar, N. Gunasekaran","doi":"10.3934/math.20231165","DOIUrl":"https://doi.org/10.3934/math.20231165","url":null,"abstract":"This work investigates the dynamic complications of the Ricker type predator-prey model in the presence of the additive type Allee effect in the prey population. In the modeling of discrete-time models, Euler forward approximations and piecewise constant arguments are the most frequently used schemes. In Euler forward approximations, the model may undergo period-doubled orbits and invariant circle orbits, even while varying the step size. In this way, differential equations with piecewise constant arguments (Ricker-type models) are a better choice for the discretization of a continuous-time model because they do not involve any step size. First, the interaction between prey and predator in the form of the Holling-Ⅱ type is considered. The essential mathematical features are discussed in terms of local stability and the bifurcation phenomenon as well. Next, we apply the center manifold theorem and normal form theory to achieve the existence and directions of flip bifurcation and Neimark-Sacker bifurcation. Moreover, this paper demonstrates that the outbreak of chaos can stabilize in the considered model with a higher value of the Allee parameter. The existence of chaotic orbits is verified with the help of a one-parameter bifurcation diagram and the largest Lyapunov exponents, respectively. Furthermore, different control methods are applied to control the bifurcation and fluctuating phenomena, i.e., state feedback, the Ott-Grebogi-Yorke, and hybrid control methods. Finally, to ensure our analytical results, numerical simulations have been carried out using MATLAB software.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70162390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1