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Evolution of commitment in the spatial public goods game through institutional incentives Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-12 Lucas S. Flores, The Anh Han
Studying social dilemmas prompts the question of how cooperation can emerge in situations where individuals are expected to act selfishly. Here, in the framework of the one-shot Public Goods Game (PGG), we introduce the concept that individuals can adjust their behaviour based on the cooperative commitments made by other players in the group prior to the actual PGG interaction. To this end, we establish
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New results on the stability and stabilization for singular neutral systems with time delay Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-12 Shaohua Long, Yu Zhang, Shouming Zhong
The stability issue and stabilization issue for a class of singular neutral systems are studied in this paper. Firstly, we give some sufficient conditions such that the considered open-looped systems are admissible. Secondly, we give some results which design the feedback controllers and ensure that the resulting close-looped systems are admissible. Finally, the superiority and effectiveness of the
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A variable gain impulsive observer for perturbed Lipschitz nonlinear systems with delayed discrete measurements Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-12 Wu-Hua Chen, Hao Sun, Xiaomei Lu
This paper addresses the impulsive observers design problem of perturbed Lipschitz nonlinear systems subject to noisy delayed discrete measurements. The transmission delay, state perturbation, and measurement noise simultaneously hinder the convergence of impulsive observer. To deal with the difficulty, the observation error system with delayed impulses is represented as an augmented system with switching
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The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-12 Gengjiao Yang
The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation are investigated in this paper. Different from the existing quadratic event-triggered mechanism (ETM), a linear ETM is constructed, which can be reduced to a time-triggered mechanism (TTM). Based on parallel distribution compensation, an event-triggered fuzzy controller is designed, and sufficient
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On minimal directed strongly regular Cayley graphs over dihedral groups Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-07 Weijun Liu, Yueli Han, Lu Lu
Let denote a dihedral group, where 1 is identity element and . We define as minimal if satisfies the condition , and there is an element satisfying . Within this manuscript, we achieve a complete characterization of the directed strongly regular Cayley graph of , given the constraint that the subset is minimal.
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A new second-order dynamical method for solving linear inverse problems in Hilbert spaces Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-07 Qin Huang, Rongfang Gong, Ye Zhang
A new second-order dynamic method (SODM) is proposed for solving ill-posed linear inverse problems in Hilbert spaces. The SODM can be viewed as a combination of Tikhonov regularization and second-order asymptotical regularization methods. As a result, a double-regularization-parameter strategy is adopted. The regularization properties of SODM are demonstrated under both and stopping rules. In the context
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Stabilization of continuous-time Markovian jump systems: A mode separation but optimization method Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-07 Guoliang Wang, Zhikang Zhu, Yande Zhang
This paper addresses the stabilization problem of continuous-time Markovian jump systems (MJSs) by applying an optimization controller. A new stabilizing method based on a mode separation algorithm is proposed, whose separation will be optimized by minimizing the established cost function value. It will be seen that the presented optimal controller will have hybrid decision variables such as continuous
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Exponential stability in the Lp-norm of nonlinear coupled hyperbolic spatially inhomogeneous systems Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-07 Vitalii Slynko, Osman Tunç, Ivan Atamas
We study exponential stability of equilibrium in the -norm (, ) of nonlinear 1 systems of hyperbolic equations. A method of construction of Lyapunov functions based on the W. Magnus representation of fundamental solutions of ordinary differential equation (ODE) linear systems is proposed. Sufficient conditions for exponential -stability (, ) are obtained and sufficient conditions for exponential -stability
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The extremal trees for exponential vertex-degree-based topological indices Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-06 Wei Gao, Yubin Gao
A general exponential vertex-degree-based topological index (exponential VDB index for short) of a graph is the summation of , where is a symmetric real function with and , and the summation is over all .
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On the numerical solution of functional equations with application to response time distributions Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-05 Peter G. Harrison
A unified approach is developed to solve functional equations defining generating functions. Such equations are often constructed as a means to solve recurrence relations, such as those arising from queue length probabilities and response time probability distributions in Markov models. Many such equations have been obtained over several decades. Some have been solved analytically, some numerically
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Impact of multiple doses of vaccination on epidemiological spread in multiple networks Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-05 Ling Li, Gaogao Dong, Huaiping Zhu, Lixin Tian
Epidemic spread is frequently accompanied by the diffusion of information, prompting individuals to adopt preventive measures, including home quarantine, vaccination, and wearing masks. The interplay spreading processes present significant challenges in studying the mechanisms of epidemic infectious diseases and the prevention and control of public health emergencies. Therefore, this paper incorporates
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Investigation of multivariate pairs trading under copula approach with mixture distribution Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-05 Fuli He, Ali Yarahmadi, Fazlollah Soleymani
Pairs trading is typically implemented using two assets. The copula approach can allow us to consider the dependency among multiple assets and use multivariate pairs in this strategy. The goal of this article is to investigate this strategy under the copula approach for a group of assets that have mixture distributions. Increasing the consideration of multivariate pairs, especially in the trivariate
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Memory-based event-triggered fault-tolerant load frequency control of multi-area power systems with electric vehicles Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-05 Xinghua Liu, Yuru Liang, Siwei Qiao, Peng Wang
This paper focuses on the fault-tolerant load frequency control problem for a multi-area power system with electric vehicles, specifically addressing sensor failures. Electric vehicles are utilized for load frequency control, and a multi-area power system model is established while considering parameter uncertainty. To minimize network data transmission, a memory-based adaptive hybrid event-triggered
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Finite number of similarity classes in Longest Edge Bisection of nearly equilateral tetrahedra Appl. Math. Comput. (IF 4.0) Pub Date : 2024-03-01 Agustín Trujillo-Pino, Jose Pablo Suárez, Miguel A. Padrón
In 1983 Adler pointed out that if a tetrahedron is nearly equilateral (edge lengths within 5% of each other) and the first and second longest edges are opposite, then the iterative Longest Edge Bisection (LEB) method produces ≤37 similarity classes. The importance of nearly equilateral tetrahedra is that they generate a finite number of similarity classes during the iterative LEB, a desirable property
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Corrigendum to “Mathematical modeling of electro hydrodynamic non-Newtonian fluid flow through tapered arterial stenosis with periodic body acceleration and applied magnetic field” [Appl. Math. Comput. 362 (2019) 124453]] Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-29 R. Padma, R. Ponalagusamy, R. Tamil Selvi
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Embedding and fractional embedding of Bergman-type spaces in the Schatten class Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-29 Wenwan Yang, Xiao-Min Huang, Feifei Du
For , we completely characterize the Schatten -class embedding and fractional embedding of the Bergman-type space on the unit ball of . The main results of this paper are twofold: (1) For , we show that the necessary and sufficient condition for the embedding operator is in the Schatten -class is that . (2) For a positive Borel measure on and a real number , we prove that the fractional embedding operator
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Signed double Roman domination on cubic graphs Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-29 Enrico Iurlano, Tatjana Zec, Marko Djukanovic, Günther R. Raidl
The signed double Roman domination problem is a combinatorial optimization problem on a graph asking to assign a label from to each vertex feasibly, such that the total sum of assigned labels is minimized. Here feasibility is given whenever (i) vertices labeled ±1 have at least one neighbor with label in ; (ii) each vertex labeled −1 has one 3-labeled neighbor or at least two 2-labeled neighbors; and
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Exact solutions of some fractal differential equations Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-29 Alireza Khalili Golmankhaneh, Donatella Bongiorno
In this paper, we explore the intriguing field of fractal calculus as it pertains to fractal curves and fractal sets. Our study includes an exploration of the method analogues of the separable method and the integrating factor technique for solving -order differential equations. Notably, we extend our analysis to solve Fractal Bernoulli differential equations. The applications of our findings are then
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An evolutionary game with reputation-based imitation-mutation dynamics Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-29 Kehuan Feng, Songlin Han, Minyu Feng, Attila Szolnoki
Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational choices in strategy updates. We now fill this gap and explore the consequence of such kind of randomness, or one may interpret it as an autonomous thinking. In
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Conjugate gradient-type method for the tensor linear system via the T-product and its application in the calculation of Moore-Penrose inverse Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-28 Baohua Huang
We develop a conjugate gradient-type method for solving a class of tensor linear system with a T-product structure. The finite termination of the proposed method is proven without considering the rounding error. As an application, we obtain the numerical approximation of the tensor Moore-Penrose inverse based on the tensor T-product by solving the tensor linear system that are considered. Some numerical
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DisPredict3.0: Prediction of intrinsically disordered regions/proteins using protein language model Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-28 Md Wasi Ul Kabir, Md Tamjidul Hoque
Intrinsically disordered proteins (IDPs) or protein regions (IDRs) do not have a stable three-dimensional structure, even though they exhibit important biological functions. They are structurally and functionally very different from ordered proteins and can cause many critical diseases. Accurate identification of disordered proteins/regions significantly impacts fields such as drug design, protein
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Error analysis for local coarsening in univariate spline spaces Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-28 Silvano Figueroa, Eduardo M. Garau, Pedro Morin
In this article we analyze the error produced by the removal of an arbitrary knot from a spline function; we consider the -, the - and the -errors. When a knot has multiplicity greater than one, this implies a reduction of its multiplicity by one unit. In particular, we deduce a very simple formula to compute the error in terms of some neighboring knots and a few coefficients of the considered spline
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Adaptive event-triggered non-fragile sliding mode control for uncertain T-S fuzzy singular systems with passive constraint Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-28 Ze Li, Junchao Ren
This paper discusses the non-fragile SMC problem of uncertain discrete-time TSFSSs with passive constraint based on the event-triggered method. A novel AETS is adopted to save communication resources while maintaining good control performance. According to Lyapunov function method, sufficient admissible conditions of the sliding mode dynamics are established to ensure passive performance. Throughout
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A new iterative method for simultaneous computation of several eigenpair derivatives of a large matrix Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-27 Huiqing Xie, Manhong Lu
A new iterative method is proposed to simultaneously compute several eigenpair derivatives of a large matrix analytically dependent on parameters. By using the Krylov subspaces augmented with the eigenvectors that one wants to differentiate, computation of several eigenpair derivatives is reduced to solving several small linear least square problems at each iteration. Convergence properties of the
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A Magnus-based integrator for Brownian parametric semi-linear oscillators Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-27 Raffaele D'Ambrosio, Hugo de la Cruz, Carmela Scalone
We introduce a numerical method for solving second-order stochastic differential equations of the form , describing a class of nonlinear oscillators with non-constant frequency, perturbed by white noise . The proposed scheme takes advantages of the Magnus approach to construct an integrator for this stochastic oscillator. Its convergence properties are rigorously analyzed and selected numerical experiments
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Limited packings: Related vertex partitions and duality issues Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-26 Azam Sadat Ahmadi, Nasrin Soltankhah, Babak Samadi
A -limited packing partition (LP partition) of a graph is a partition of into -limited packing sets. We consider the LP partitions with minimum cardinality (with emphasis on ). The minimum cardinality is called LP partition number of and denoted by . This problem is the dual problem of -tuple domatic partitioning as well as a generalization of the well-studied 2-distance coloring problem in graphs
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Dividend based risk measures: A Markov chain approach Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-26 Guglielmo D'Amico, Riccardo De Blasis
Computations of risk measures in the context of the dividend valuation model is a crucial aspect to deal with when investors decide to buy a share of common stock. This is achieved by using a Markov chain model of growth-dividend evolution, imposing an assumption that controls the growth of the dividend process and in turn allows for the computation of the moments of the price process and the fulfillment
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WENO finite volume scheme using subcell strategy on rectangular meshes Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-20 Li Li Chen, Cong Huang
WENO scheme is popular for solving hyperbolic conservation laws. However for the traditional WENO schemes, they often increase the order of accuracy by enlarging the stencil, thus lack the compactness and do not obtain the highest resolution and efficiency. In order to overcome this problem, we consider to improve the traditional WENO scheme by using subcell strategy, which basic idea is that: first
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Efficient L1-ADI finite difference method for the two-dimensional nonlinear time-fractional diffusion equation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-20 Yubing Jiang, Hu Chen, Tao Sun, Chaobao Huang
In this work, we propose an efficient finite difference method for the two-dimensional nonlinear time-fractional diffusion equation with weakly singular solutions. By using backward formula for the approximation of nonlinear term, and L1 scheme on uniform mesh for discretisation of temporal Caputo fractional derivative, a linear scheme is constructed and analysed. Stability and pointwise-in-time convergence
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Convergence rates for critical point regularization Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-20 Daniel Obmann, Markus Haltmeier
Tikhonov regularization involves minimizing the combination of a data discrepancy term and a regularizing term, and is the standard approach for solving inverse problems. The use of non-convex regularizers, such as those defined by trained neural networks, has been shown to be effective in many cases. However, finding global minimizers in non-convex situations can be challenging, making existing theory
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Existence, uniqueness and blow-up of solutions for generalized auto-convolution Volterra integral equations Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-16 Mahdi Mostafazadeh, Sedaghat Shahmorad, Fevzi Erdoğan
In this paper, our intention is to investigate the blow-up theory for generalized auto-convolution Volterra integral equations (AVIEs). To accomplish this, we will consider certain conditions on the main equation. This will establish a framework for our analysis, ensuring that the solution of the equation exists uniquely and is positive. Firstly, we analyze the existence and uniqueness of a local solution
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Unconditional superconvergence analysis of two-grid nonconforming FEMs for the fourth order nonlinear extend Fisher-Kolmogorov equation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-14 Lifang Pei, Chaofeng Zhang, Dongyang Shi
In this paper, an efficient nonconforming finite element method (FEM) is developed for solving the fourth order nonlinear extended Fisher-Kolmogorov equation. We firstly construct a backward Euler fully discrete scheme with a non- nonconforming double set parameter rectangular Morley element, and prove that this scheme is uniquely solvable and preserves the discrete energy dissipation law. Then based
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New method for global exponential synchronization of multi-link memristive neural networks with three kinds of time-varying delays Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-09 Wentao Hua, Yantao Wang, Chunyan Liu
In this paper, a new direct method based on system solutions is proposed to give global exponential synchronization analysis of multi-link memristive neural networks. The network dynamics are affected by time-varying distribution, leakage and transmission delays, simultaneously. Based on the definition of synchronization, sufficient conditions to ensure the synchronization of multi-link memristive
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Evolution of trust in structured populations Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-09 Chaoqian Wang
The trust game, derived from an economics experiment, has recently attracted interest in the field of evolutionary dynamics. In a recent version of the evolutionary trust game, players adopt one of three strategies: investor, trustworthy trustee, or untrustworthy trustee. Trustworthy trustees enhance and share the investment with the investor, whereas untrustworthy trustees retain the full amount,
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Nonlinear estimator-based funnel tracking control for a class of perturbed Euler-Lagrange systems Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-09 Xiaozheng Jin, Xingcheng Tong, Jing Chi, Xiaoming Wu, Hai Wang
In this article, a nonlinear estimator-based funnel perturbation rejection control method is investigated to manage the trajectory tracking problem of a class of perturbed Euler-Lagrange (EL) systems. To reinforce the perturbation rejection ability, perturbation estimators with nonlinear dynamics are established by employing a filtering operation, which can result in asymptotic convergence of estimation
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Non-linear integral equations on unbounded domain with global polynomials Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-07 Ritu Nigam, Nilofar Nahid, Gnaneshwar Nelakanti
Solving Hammerstein - Fredholm integral equations on unbounded domains is challenging due to its domain of integration. Therefore, this paper discusses a numerical solution to the proposed problem using the Galerkin method, with low computational complexity and high convergence rates. In order to reduce the computational complexity, Laguerre polynomials are used as basis functions and to analyze the
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Bilateral negotiation facilitates stable coexistence of cooperation with defection in Prisoner's Dilemma game Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-06 Yimei Yang, Hao Sun, Guangjing Yang, Yanru Sun
We explore the effect of bilateral negotiation, a common means to resolve conflicts, on the stable coexistence of cooperation with defection, a phenomenon that occurs frequently in nature and human society but lacks a scientific explanation so far. To model how individuals negotiate, we define two negotiable strategies: the negotiable cooperation strategy and the negotiable defection strategy. By investigating
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Efficient and unconditionally energy stable exponential-SAV schemes for the phase field crystal equation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-06 Fan Zhang, Hai-Wei Sun, Tao Sun
In this paper, we propose first- and second-order exponential scalar auxiliary variable (ESAV) schemes for solving the phase field crystal equation with the periodic boundary condition. Specifically, the scalar auxiliary variable (SAV) in this work is constructed based on an exponential function, which differs from the square root form commonly used in the traditional SAV method. This feature allows
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A global H(div)-conforming finite element post-processing for stress recovery in nearly incompressible elasticity Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-05 G. Taraschi, M.R. Correa, A.S. Pinto, C.O. Faria
In this work, we study the application of a post-processing strategy to recover the stress field in the linear elasticity problem, with a particular interest in the limit of near incompressibility. The developed analysis leads to error bounds for the approximated stress that do not depend on the Lamé coefficient , implying that the strategy remains accurate even on nearly-incompressible problems. We
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A note on Sugeno exponential function with respect to distortion Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-05 Shekhar Singh Negi, Vicenç Torra
This study explores the Sugeno exponential function, which is the solution to a first order differential equation with respect to nonadditive measures, specifically distorted Lebesgue measures. We define -distorted semigroup property of the Sugeno exponential function, introduce a new addition operation on a set of distortion functions, and discuss some related results. Furthermore, -Bernoulli inequality
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Cooperation and control in asymmetric repeated games Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-03 Kai Kang, Jinyan Tian, Boyu Zhang
Recently, a new class of memory-one strategies, zero-determinant (ZD), has been proposed in the context of repeated Prisoner's Dilemma game. A player using a ZD strategy can unilaterally enforce a linear relation between the two players’ payoffs. In this paper, we study ZD strategies in arbitrary 2 × 2 asymmetric games. We show that the existence of three typical subclasses of ZD strategies, equalizer
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The minimum Wiener index of unicyclic graphs with maximum degree Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-03 Shan Zhang, Xun Chen, Zhen-Wei Ma, Xiao-Dong Zhang, Ya-Hong Chen
For a graph , the Wiener index is the sum of distances between all pairs of vertices, which is one of the most popular graph invariants. In this paper, we characterize a class of the unicyclic graphs with given order and maximum degree which minimize Wiener index, and then identify a class of the unicyclic graphs with and which minimize Wiener index.
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Simulated dynamics of virus spreading on social networks with various topologies Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Kun Li, Zhiyu Chen, Rui Cong, Jianlei Zhang, Zhenlin Wei
How to effectively control virus spreading remains an open challenging problem since the environments for virus propagation are complex and heterogeneous, and more importantly, the dynamics of virus spreading usually co-evolves with that of human beings' travelling behavior. Motivated by this, we combine evolutionary game theory and complex network theory to investigate the influence of the competition
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Estimator-based adaptive prescribed performance cooperative bipartite containment control of nonlinear multiagent system against DoS attacks Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Ming-Juan Guo, Yuan-Xin Li
This paper studies the prescribed performance bipartite containment control design issue for nonlinear multiagent systems (MASs) under denial-of-service (DoS) attacks. First, an attack compensator is built for each agent in order to obtain the system output when the DoS attacks appear. Then, a fuzzy estimator is developed to estimate the unknown states based on the attack compensator. Second, a prescribed
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On the Szeged and Wiener complexities in graphs Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Modjtaba Ghorbani, Zahra Vaziri
When characterizing networks structurally, the discriminating ability of a topological index is crucial. This relates to investigate its discrimination power (also called uniqueness or degeneracy) that indicates how meaningful the given measure can distinguish nonisomorphic networks. Assume G is a connected graph. The Szeged complexity (or briefly Sz-complexity) of a graph G is the number of different
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A note on decomposing graphs to locally almost irregular subgraphs Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Jakub Przybyło
We consider a concept related with decompositions of graphs to locally irregular subgraphs and the notion of almost irregular subgraphs, introduced recently by Alon and Wei. We say that a graph is locally almost irregular if its every vertex has at most one neighbour with the same degree as itself. We conjecture that any graph can be edge decomposed to two locally almost irregular subgraphs, and we
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Asynchronous attack tolerant control for Markov jump cyber-physical systems under hybrid cyber-attacks Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Lanxin Wang, Yue Long, Tieshan Li, Hanqing Yang, C.L. Philip Chen
This article considers the problem of asynchronous attack tolerant control for a type of Markov jump cyber-physical systems (MJCPSs) suffering hybrid cyber-attacks. In the measurement channel, the Denial-of-Service (DoS) attack and deception attack are cogitated simultaneously. Meanwhile, the impact generated by the deficiency of plant mode information due to cyber-attacks is described via the partial
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Interval vertex coloring Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-31 Mária Maceková, Zuzana Šárošiová, Roman Soták
In this paper we consider various vertex versions of interval edge colorings. We distinguish two types of interval vertex colorings − an open and a closed interval vertex coloring, which are defined in such a way that colors used on open or closed neighborhood of each vertex form an integer interval, respectively. These colorings need not to be necessarily proper, and as coloring of all vertices with
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Small dense on-line arbitrarily partitionable graphs Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-02 Monika Bednarz, Agnieszka Burkot, Jakub Kwaśny, Kamil Pawłowski, Angelika Ryngier
A graph is if for any sequence that satisfies it is possible to divide into disjoint subsets such that and the subgraphs induced by all are connected. In this paper we inspect an on-line version of this concept and show that for graphs of order , , and size greater than these two concepts are equivalent. Although our result concerns only finitely many graphs, together with a recent theorem of Kalinowski
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Effect of Gaussian gradient in the medium's action potential morphology on spiral waves Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-01 Karthikeyan Rajagopal, Dorsa Nezhad Hajian, Hayder Natiq, Yuexi Peng, Fatemeh Parastesh, Sajad Jafari
Disorders in the heart's conduction system can lead to the formation of rotating spiral waves, and terminating the re-entrant seeds is crucial to restore cardiac function. Myocyte action potential (AP) morphology is spatially dependent within the myocardium, forming an intrinsic gradient. This study investigates the impact of gradients in AP morphology on the behavior of spiral seeds and their traveling
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The implications of deep cooperation strategy for the evolution of cooperation in social dilemmas Appl. Math. Comput. (IF 4.0) Pub Date : 2024-02-01 Weijuan Hao, Yuhan Hu
In contemporary society, cooperation is a crucial element for individuals pursuing shared interests and attaining triumph. However, conventional cooperative evolution approaches frequently disregard the intricacies amongst individuals. In order to gain improved comprehension and refine the cooperative evolution process, we suggest a pioneering deep cooperation strategy. The strategy of deep cooperation
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Finite-region asynchronous H∞ filtering for 2-D Markov jump systems in Roesser model Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-30 Jiankang Fang, Chengcheng Ren, Hai Wang, Vladimir Stojanovic, Shuping He
This paper addresses finite-region asynchronous H∞ filtering for a class of two-dimensional Markov jump systems (2-D MJSs). A mathematical model is established using the Roesser model, and asynchrony is accounted for using a hidden Markov model (HMM). The modes jumping between the target system and the designed filter are determined by the given conditional probability matrix. Sufficient conditions
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Learning model predictive control of nonlinear systems with time-varying parameters using Koopman operator Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-30 Zhong Chen, Xiaofang Chen, Jinping Liu, Lihui Cen, Weihua Gui
Koopman operator with numerical approximation method for modelling nonlinear systems has become a popular data-driven approach in the past five years. However, when the system contains time-varying parameters, the data-driven Koopman operator-based model produces deviations between the nominal model and the true one. It affects the control performance when it serves as the nominal model in Model Predictive
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A fast Strang splitting method with mass conservation for the space-fractional Gross-Pitaevskii equation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-30 Yao-Yuan Cai, Hai-Wei Sun
In this paper, we present a fast algorithm for solving the space-fractional Gross-Pitaevskii equation while preserving the law of mass conservation. First we discretize this equation by using a second-order weighted and shifted Grünward difference operator and obtain a system of semilinear differential equations with linear and nonlinear parts. Afterwards, we employ a Strang splitting method to solve
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The effect of intraspecific cooperation in a three-species cyclic predator-prey model Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-29 Hui Dai, Xiaoyue Wang, Yikang Lu, Yunxiang Hou, Lei Shi
The maintenance of biological diversity has perpetually remained a central focus in the field of ecology. In the pursuit of enhanced survival rates, species have begun to explore cooperation with one another. However, the consequences of such collaboration remain largely unexplored. To delve into this matter, we introduce intraspecific cooperation within the framework of the classic rock-paper-scissors
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Construction and mean-square stability analysis of a new family of stochastic Runge-Kutta methods Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-29 Vaz'he Rahimi, Davood Ahmadian, Luca Vincenzo Ballestra
This research paper investigates the convergence and stability of two diagonal drift-implicit second-order stochastic Runge-Kutta methods for weak approximation of systems containing three-dimensional drift and noise terms in Itô stochastic differential equations. The first method is based on the approach presented by Debrabant and Rößler (2008) [5], while the second method utilizes a Butcher table
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Conditional moments of the first-passage time of a crowed population Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-30 Gabriela de Jesús Cabral-García, José Villa-Morales
Using the method of stochastic variation of parameters in the logistic differential equation a stochastic logistic differential equation is obtained. For this stochastic differential equation, the first two conditional moments of the first-passage time are found. These results are applied in the study of the growth of cancerous tumors and in the study of the growth of the world population when a random
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On the computation of intrinsic Proper Generalized Decomposition modes of parametric symmetric elliptic problems on Grassmann manifolds Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-30 Alejandro Bandera, Soledad Fernández-García, Macarena Gómez-Mármol
In this work, we introduce an iterative optimization algorithm to obtain the intrinsic Proper Generalized Decomposition modes of elliptic partial differential equations. The main idea behind this procedure is to adapt the general Gradient Descent algorithm to the algebraic version of the intrinsic Proper Generalized Decomposition framework, and then to couple a one-dimensional case of the algorithm
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Existence of solutions to a system of fractional three-point boundary value problem at resonance Appl. Math. Comput. (IF 4.0) Pub Date : 2024-01-26 Rongpu Sun, Zhanbing Bai
In this article, the existence of solutions to a system of fractional three-point boundary value problem at resonance is investigated. By introducing the Moore-Penrose generalized inverse matrix to construct projectors in Rn, which effectively relaxes conditions of the matrix in the boundary value conditions. The main result is established by utilizing the coincidence degree theorem of Mawhin.