Mathematics and Computers in Simulation最新文献

Practical computation of higher codimension Bogdanov–Takens bifurcations in energy supply–demand system

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-26 DOI: 10.1016/j.matcom.2025.05.004

Muhammad Marwan , Ning Wang , Dur-e-Zehra Baig , Feng Li

{"title":"Practical computation of higher codimension Bogdanov–Takens bifurcations in energy supply–demand system","authors":"Muhammad Marwan , Ning Wang , Dur-e-Zehra Baig , Feng Li","doi":"10.1016/j.matcom.2025.05.004","DOIUrl":"10.1016/j.matcom.2025.05.004","url":null,"abstract":"<div><div>The analysis of energy crises is significant research topic in both theory and engineering. In the current paper, a nonlinear, real-life based model of energy resources transportation between two cities is considered to study codimension-1, codimension-2, and codimension-3 bifurcations using the first Lyapunov coefficient and generalized eigenvectors. The first Lyapunov coefficient (LC) provides sufficient information about the type of Hopf bifurcation and the emergence of a Bautin bifurcation at the critical points. Moreover, it is proved that there exists codimension-two Bogdanov–Takens (BT) bifurcation exhibiting Hopf, saddle–node and homoclinic local bifurcation curves at their specific parameters. Additionally, under certain conditions, the normal form of the codimension-three Bogdanov–Takens bifurcation is derived and analyzed.</div><div>Although the generalized eigenvectors in Hopf and BT bifurcations are essential for analysis, the orthogonality condition is not always satisfied, requiring tedious calculations. To facilitate this process, MATLAB codes are provided to help readers bypass these complex steps. Moreover, bifurcation diagrams for single and double parameters of the model are plotted to analyze the system’s behavior near critical points. Finally, to validate the analytical results, detailed numerical simulations of the bifurcation analysis are presented.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"238 ","pages":"Pages 255-268"},"PeriodicalIF":4.4,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Kahan–Hirota–Kimura maps preserving original cubic Hamiltonians Kahan-Hirota-Kimura地图保留了原始的三次哈密顿量

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-24 DOI: 10.1016/j.matcom.2025.05.002

Víctor Mañosa , Chara Pantazi

引用次数: 0

Tracking problem of non-particle morphology based on fixed-time ZNN model 基于固定时间ZNN模型的非粒子形态跟踪问题

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-22 DOI: 10.1016/j.matcom.2025.04.039

Peng Miao , Shuai Li , Chenghang Li

引用次数: 0

News of IMACS IMACS新闻

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-21 DOI: 10.1016/S0378-4754(25)00207-1

引用次数: 0

IMACS Calendar of Events IMACS事件日历

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-21 DOI: 10.1016/S0378-4754(25)00208-3

引用次数: 0

Reversible adaptive chaotic multi-image privacy protection scheme for efficient batch encryption of various images 可逆自适应混沌多图像隐私保护方案，用于各种图像的高效批量加密

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-21 DOI: 10.1016/j.matcom.2025.05.017

Defeng Jiang, Shaohui Yan

{"title":"Reversible adaptive chaotic multi-image privacy protection scheme for efficient batch encryption of various images","authors":"Defeng Jiang, Shaohui Yan","doi":"10.1016/j.matcom.2025.05.017","DOIUrl":"10.1016/j.matcom.2025.05.017","url":null,"abstract":"<div><div>Addressing the limitations of traditional encryption algorithms with fixed structures, this paper proposes a multi-image encryption scheme based on chaotic map. This scheme allows users to input multiple images of varying sizes and types, which are then encrypted into a single noise-like image stored on a cloud platform. First, a three-dimensional hyperchaotic memristor map with excellent randomness is constructed. Through the proposed key-initial value generation mechanism based on the SHA-384 hash algorithm, the user’s provided key is converted into an initial value to generate the chaotic sequence used for encryption. Subsequently, multiple input images are pre-processed and concatenated into a large plaintext image, which undergoes bit-level adaptive domain diffusion and chaotic index-Zigzag composite scrambling to produce the final ciphertext image. The algorithm introduces adaptive encryption parameter that control the size of the traversal matrix and the rule matrix based on the input images. By transforming large matrix operations into multiple smaller matrix operations, the encryption process is dynamically adjusted and computational resources are optimized, thereby enhancing both the flexibility and efficiency of the algorithm. Finally, security analyses with multiple groups of test images show excellent performance across all metrics. Notably, the scheme can encrypt 50 images in 25.8 seconds, demonstrating remarkable efficiency.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"238 ","pages":"Pages 201-221"},"PeriodicalIF":4.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144130892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Learning time-varying parameters of stiff dynamical systems using physics-informed transfer neural network 利用物理信息传递神经网络学习刚性动力系统时变参数

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-19 DOI: 10.1016/j.matcom.2025.04.038

Ebenezer O. Oluwasakin , Abdul Q.M. Khaliq , Khaled M. Furati

引用次数: 0

Convergence analysis of a Schrödinger problem with moving boundary 一类带移动边界Schrödinger问题的收敛性分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-17 DOI: 10.1016/j.matcom.2025.04.042

Daniel G. Alfaro Vigo , Daniele C.R. Gomes , Bruno A. do Carmo , Mauro A. Rincon

{"title":"Convergence analysis of a Schrödinger problem with moving boundary","authors":"Daniel G. Alfaro Vigo , Daniele C.R. Gomes , Bruno A. do Carmo , Mauro A. Rincon","doi":"10.1016/j.matcom.2025.04.042","DOIUrl":"10.1016/j.matcom.2025.04.042","url":null,"abstract":"<div><div>In this article, we present the mathematical analysis of the convergence of the linearized Crank–Nicolson Galerkin method for a nonlinear Schrödinger problem related to a domain with a moving boundary. The convergence analysis of the numerical method is carried out for both semidiscrete and fully discrete problems. We establish an optimal error estimate in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm with order <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><mi>h</mi></mrow><mrow><mi>s</mi></mrow></msup><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mn>2</mn><mo>≤</mo><mi>s</mi><mo>≤</mo><mi>r</mi></mrow></math></span>, where <span><math><mi>h</mi></math></span> is the finite element mesh size, <span><math><mi>τ</mi></math></span> is the time step, and <span><math><mrow><mi>r</mi><mo>−</mo><mn>1</mn></mrow></math></span> represents the degree of the finite element polynomial basis. Numerical simulations are provided to confirm the consistency between theoretical and numerical results, validating the method and the order of convergence for different degrees <span><math><mrow><mi>p</mi><mo>≥</mo><mn>1</mn></mrow></math></span> of the Lagrange polynomials and also for Hermite polynomials (degree <span><math><mrow><mi>p</mi><mo>=</mo><mn>3</mn></mrow></math></span>), which form the basis of the approximate solution.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"238 ","pages":"Pages 45-64"},"PeriodicalIF":4.4,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144089222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Minimax concave penalty-based TGV model for Poissonian image restoration 基于极大极小凹罚的泊松图像恢复TGV模型

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-17 DOI: 10.1016/j.matcom.2025.05.001

Xinwu Liu , Xiang Yu , Jiangli Liang

引用次数: 0

Novel application of q-HAGTM to analyze Hilfer fractional differential equations in diabetic dynamics q-HAGTM在糖尿病动力学中Hilfer分数阶微分方程分析中的新应用

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-05-16 DOI: 10.1016/j.matcom.2025.04.029

Sangeeta Kumawat , Sanjay Bhatter , Bhamini Bhatia , Sunil Dutt Purohit , Haci Mehmet Baskonus , Daya Lal Suthar

{"title":"Novel application of q-HAGTM to analyze Hilfer fractional differential equations in diabetic dynamics","authors":"Sangeeta Kumawat , Sanjay Bhatter , Bhamini Bhatia , Sunil Dutt Purohit , Haci Mehmet Baskonus , Daya Lal Suthar","doi":"10.1016/j.matcom.2025.04.029","DOIUrl":"10.1016/j.matcom.2025.04.029","url":null,"abstract":"<div><div>Fractional calculus has emerged as a valuable tool for modeling complex dynamical systems due to its ability to represent the memory and hereditary characteristics. Among the various fractional operators, the Hilfer fractional derivative is particularly notable for its unique capability to interpolate between the Caputo and Riemann–Liouville derivatives, providing a versatile framework for fractional-order modeling. Although various numerical and analytical methods have been used to solve Hilfer fractional differential equations, the q-Homotopy analysis generalized transform method remains unexplored. In this study, we extend a glucose–insulin interaction model to a Hilfer fractional framework and apply this method to analyze its dynamics. The approach provides an effective solution technique, highlighting its potential for analyzing complex fractional-order biological systems. To establish the validity of our approach, we analyze the uniqueness and convergence of the obtained solutions. Numerical simulations and graphical representations illustrate the model’s behavior and confirm the method’s effectiveness. This study presents a novel application of the q-Homotopy analysis generalized transform method to Hilfer fractional equations. The results confirm the applicability and effectiveness of this method in obtaining reliable solutions. The findings contribute to the broader understanding of fractional-order modeling and demonstrate the potential of this approach for future research in mathematical modeling.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"238 ","pages":"Pages 136-149"},"PeriodicalIF":4.4,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144107357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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