International Journal of Analysis and Applications

Anti Synchronization of New Chaotic Systems via Adaptive Backstepping Control: An Application to Image Encryption

2025-11-03T06:36:04+08:00

Based on an adaptive backstepping control strategy, the anti-synchronization phenomenon between two identical chaotic systems is proposed to achieve global and exponential anti-synchronization. The theoretical analysis is supported by Lyapunov-based stability proofs. Through numerical simulations, it is demonstrate that the synchronization errors vanish asymptotically, thus confirming the validity of the proposed scheme. Furthermore, the practical applicability of the methodology is illustrated through its application instance to image encryption, where the master system states are employed in an XOR based process to encrypt visual data. The obtained results both the theoretical of the methodology and its applicability in secure communications and related fields.

Some Topological Properties in View of Hexa Topological Spaces

2025-11-08T20:54:15+08:00

In this paper, we introduced the definition of hexa topological space, also, we studied Some topological properties of this spaces with more illustrating examples. Many new definitions and theorems were investigated Separation axioms in hexa-topological spaces were debated, and many relations between these spaces and other topological spaces were discussed.

Extended Bipolar Intuitionistic Fuzzy Ideals Framework Through Level Sets and Its Characterization via Regular Ordered Γ-Semigroups

2025-06-23T00:24:02+08:00

This paper proposes an extended framework for bipolar anti-intuitionistic fuzzy ideals within the context of ordered Γ-semigroups. We introduce and investigate the (δ, τ)-bipolar anti-intuitionistic fuzzy subsemigroups (BPAIFSS), including their associated left ideals, right ideals, ideals, and bi-ideals. These structures generalize existing fuzzy ideal notions by incorporating dual-valued membership and non-membership functions with flexible threshold control. Using level set analysis, we characterize the algebraic properties of these fuzzy ideals and establish their role in determining the regularity of ordered Γ-semigroups. Illustrative examples are provided to validate and demonstrate the applicability of the theoretical results.

Iterative Methods for General Bivariational Inequalities

2025-10-09T13:01:20+08:00

Some new classes of general bivariational inequalities, which can be viewed as a novel important special case of variational equalities, are investigated. Projection method, auxiliary principle and dynamical systems coupled with finite difference approach are used to suggest and analyzed a number of new and known numerical techniques for solving bivariational inequalities. Convergence analysis of these methods is investigated under suitable conditions. One can obtain a number of new classes of bivariational inequalities by interchanging the role of operators. Sensitivi anaysis of the bivariational inequalities is also discussed. Some important special cases are highlighted. Several open problems are suggested for future research.

Codimension Two Bifurcation Analysis of a Discrete Coupled Competition Duopoly Game

2025-11-12T04:10:00+08:00

This paper analytically examines the coupled competition duopoly game model. This study examines the codimension-two bifurcations of different types of the model through bifurcation theory and numerical continuation methods. The model undergoes codimension-two bifurcation, heteroclinic bifurcation near the 1:2 point, a homoclinic structure near the 1:3 resonance point, and an invariant cycle bifurcated by a period 4 orbit near the 1:4 resonance point. Subsequently, numerical simulations are performed to validate the theoretical study.

A Novel Approach to D-Stability and Additive D-Stability of Economic Models

2025-09-10T16:18:39+08:00

The study of \(D\)-stability in mathematical analysis is crucial for understanding and ensuring the stability of linear dynamical systems. This article introduces novel findings on the characterization of \(D\)-stability, along with its connections to additive \(D\)-stability concerning speed and coordinate transformations in linear dynamical systems with \(n\) degrees of freedom
\[
A \frac{d^2\mu(\tau)}{d\tau^2} + B \frac{d\mu(\tau)}{d\tau} + C \mu(\tau) = 0, \ \tau \in \mathbb{R}, \ \tau > 0,
\]
Consider the stiffness, mass, and damping matrices \(A, B, C \in \mathcal{M}^{n \times n}\), and let \( \mu(\tau) \in \mathbb{R}^n \) denote the vector of generalized coordinates with \(\frac{d\mu(\tau)}{d\tau}\) representing its corresponding velocity vector. This work derives new theoretical insights into \(D\)-stability, additive \(D\)-stability with respect to velocity, and additive \(D\)-stability concerning coordinate transformations. These results are established using techniques from linear algebra, matrix theory, dynamical systems, and their connections to structured singular value computations. Additionally, numerical investigations of the spectrum, singular values, and pseudospectra of the coefficient matrices \(A, B, C \in \mathcal{M}^{n \times n}\) are conducted using EigTool, providing further validation of the theoretical framework.

On the Analysis and Solution Structure of Generalized Hemivariational Inclusion Problems

2025-04-23T10:39:46+08:00

This paper introduces and analyzes a new class of generalized hemivariational inclusion problems. We establish the existence and uniqueness of solutions under mild assumptions and develop an efficient iterative algorithm for their numerical approximation. To demonstrate the practical utility of our theoretical framework, we apply it to a frictional contact problem in elasticity. The model involves an elastic body in contact with a rigid foundation, governed by a nonmonotone friction law that depends on both normal and tangential displacements. Our results provide a comprehensive solution, from theory to computation, for this challenging class of nonsmooth systems.

Spherical Curves and Their Rigidity in Metric Spaces with Lower Curvature Bounds

2025-11-20T10:55:26+08:00

In this paper, we examine geometric relationships between metric spaces with curvature bounded below and their corresponding model spaces of constant curvature. Let \(\gamma\) be a closed spherical curve in a metric space whose curvature is bounded below by \(K\), lying at a distance \(r < \tfrac{\pi}{2\sqrt{K}}\) from a point. Let \(\gamma^{\prime}\) denote the circle of radius \(r\) centered at the corresponding point in the model space of constant curvature \(K\). Under suitable geometric equivalence conditions—namely, the preservation of pairwise distances between corresponding points of \(\gamma\) and \(\gamma^{\prime}\), the isometry of convex hulls of corresponding geodesic triangles, and the equality of arc lengths or total curvature—we show that the geodesic surface enclosed by \(\gamma\) is isometric to the region bounded by \(\gamma^{\prime}\). This result offers a foundational geometric characterization of metric spaces with curvature bounded below through their model counterparts and provides a framework for further study of total curvature, convexity, and isometric embeddings in such spaces.

Analytical Study for Stagnation-Point Flow and Heat Transfer of MHD Nanofluid Over a Stretching Sheet in Porous Medium via Modified Adomian Decomposition Method

2025-10-22T01:33:02+08:00

In the current study, we investigate the stagnation-point flow of a MHD nanofluid toward stretching sheet in porous media with suction or injection. Whereas, the contribution of the velocity, temperature, and nanoparticle distributions to identify the advantages or disadvantages that nanoparticles like bacteria, microbes and viruses, cause in the flow stretching sheet is what makes this work significan. A new procedure is suggested for the analytical treatment of the governing system of partial differential equations, where the boundary condition at infinity is converted from the unbounded domain to the bounded domain by using some transformations and then modified adomian decomposition method is utilized. The effects of parameters (porous medium, magnetic number, surface heat flux, suction or injection and Prandtl number) on velocity, temperature and concentration profiles are shown graphically and analyzed. Finally, we compared our obtained results with the other techniques used before in literature.

Neutrosophic Semi δ-pre Irresolute Mappings

2025-07-02T06:45:53+08:00

This study investigates and defined new concept of irresolute mappings called Neutrosophic semi δ-pre irresolute mappings via Neutrosophic topological spaces. Several preservation properties and some characterizations concerning Neutrosophic semi δ-pre irresolute have been obtained.

On Semi α-Lindelöf in Bitopological Spaces

2025-11-13T04:28:55+08:00

This paper set up a Closure–operator scheme for semi–\(\alpha\)–Lindel\"{o}fness in bitopological spaces to manage covering behavior generated by two interacting topologies. With the Čech–closure hull \(H_{ij}=j\!\operatorname{cl}\,i\!\operatorname{int}\,j\!\operatorname{cl}\,i\!\operatorname{int}\), we reformulate \(ij\)–semi–\(\alpha\)–open sets and obtain operator–level criteria for \(ij\)–semi–\(\alpha\)–Lindel\"{o}fness. We prove a network estimate that bounds \(L^{S_\alpha}_{ij}\) by the size of an \(ij\)–\(S_\alpha\)–network, and a star criterion under \(\rho\)–discrete network decompositions of such networks. Structural consequences include hereditary and transfer over dense subsets, stability under countable sums, and a tube–type product when the second topology is discrete and the first factor is \(i\)–compact. Also, we introduce \(ij\)–\(S_\alpha\)–perfect mappings and show preservation of \(ij\)–\(S_\alpha\)–Lindelöfness with explicit cardinal bounds; images under \(ij\)–\(S_\alpha\)– and \(ij\)–\(S_\alpha^\ast\)–continuous maps are correspondingly controlled. Pairwise invariants are examined via \(\widehat L^{S_\alpha}_{\mathrm{pair}}\), which lies between the one–sided quantities and equals their maximum whenever at least one is infinite.

Enhancing Water Level Forecasting Performance in High-Variability Basins through Data Restructuring: A Case Study of the Yom River Basin, Thailand

2025-06-26T22:34:46+08:00

The Yom river basin in one of the 22 main river basins of Thailand. This experiences perennial floods and droughts that heavily impact the agricultural sector. In order to reduce the impact, water management, including water level estimation. A considerable task of management is the quantitative forecasting of water levels. This study proposes appropriate forecasting models for time series of daily water level data from four water level measurement stations. The study period is from 2007 to 2022 on September. The efficiency of this forecasting model was determined from comparisons to three approaches, centered moving average model (CMA), additive decomposition model (DEC), Holt’s Winter additive model (WIN). Results indicated that: The forecasts of two years gave similar forecast patterns to the previously observed values. Mainly, (decomposition) was more accurate than the other approaches for all stations. The RMSEs of upstream was slightly greater than the downstream RMSEs for three approaches.

Analyzing Extreme Water Volume Events in Khwae Noi Bamrung Daen Dam: A Statistical Approach

2025-11-08T09:45:25+08:00

This study focuses on the statistical modeling of extreme water volumes at the Kwae Noi Bamrung Daen Dam in Phitsanulok Province using extreme value theory (EVT). The objective is to predict high water levels that may pose risks to dam safety and operations. Historical monthly water volume data from 2011 to 2023 were analyzed using the generalized extreme value (GEV) distribution. The Jarque-Bera test confirmed a non-normal distribution (p = 0.02906), justifying the use of EVT. Maximum likelihood estimation yielded parameter estimates of µ = 446.58, σ = 228.68, and ξ = -0.13. Goodness-of-fit tests (K-S and A-D) confirmed the adequacy of the GEV model, with p-values of 0.3559 and 0.1124, respectively. The model estimated that extreme water volumes exceeding 950 million cubic meters are expected approximately once every 25 years. These findings contribute to more accurate hydrological forecasting, improved early warning systems, and enhanced water resource management policies. The study supports risk-informed decision-making in flood-prone regions and advances the application of EVT in dam safety and environmental planning.

Essential Norm of Composition Operators on Harmonic Zygmund Spaces and Their Derivative Spaces

2025-09-17T16:04:04+08:00

Let ψ represent the analytic self-mapping within the unit disk D. We define the composition operator C_ψ as C_ψf = f◦ψ for every f belonging to the space of harmonic functions H(D). The essential norm of composition operators within specific harmonic mapping spaces is investigated in this research. Explicitly, we outline the essential norm of composition operators on the harmonic Zygmund spaces Z^H and the derivative of harmonic Zygmund spaces V^H. Notably, these results extend and build upon results that were established previously for the analytic settings.

Fractal-Fractional Modeling and Analysis of Monkeypox Disease Using Atangana-Baleanu Derivative

2025-04-10T22:15:19+08:00

In this study, we formulate a deterministic mathematical model to describe the transmission dynamics of the monkeypox virus using fractal and fractional-order differential equations. The model incorporates all possible interactions influencing disease propagation within the population. Our analysis primarily focuses on the stability of fractal–fractional derivatives, aiming to establish the existence and uniqueness of solutions through the fixed-point theorem. Additionally, we examine Ulam-Hyers stability and other significant findings related to the proposed model. To enhance numerical accuracy, we employ Lagrange polynomial interpolation for computational approximations. Finally, graphical simulations for various fractal–fractional orders are presented to validate the model’s effectiveness and demonstrate its practical relevance.

Analytic Estimates for Bi-Univalent Functions Associated with a New Operator Involving the q–Rabotnov Function

2025-10-05T05:14:57+08:00

In this paper, we introduce and analyze a new subclass of bi-univalent functions associated with a differential operator constructed from the q–Rabotnov function. Motivated by the framework of q–calculus and its interplay with geometric function theory, the proposed operator is defined through convolution with q–Rabotnov kernels, thereby generating novel analytic structures. By applying the subordination principle, we establish sharp coefficient estimates for the initial Taylor–Maclaurin coefficients |α₂| and |α₃|, and derive Fekete–Szegö type inequalities for the class under consideration. The results presented here extend and generalize several recent contributions in the theory of biunivalent functions, highlighting the central role of q–special functions in the development of new operator-based subclasses. These findings provide deeper insights into the analytic behavior of bi-univalent mappings and suggest further applications of q–calculus in operator theory, convolution structures, and complex analysis.