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Dynamics of a nonlinear infection viral propagation model with one fixed boundary and one free boundary Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-13 Mingxin Wang
In this paper we study a nonlinear infection viral propagation model with diffusion, in which, the left boundary is fixed and with homogeneous Dirichlet boundary conditions, while the right boundary is free. We find that the habitat always expands to the half line , and that the virus and infected cells always die out when the , while the virus and infected cells have persistence properties when .
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Event-triggered impulsive control for nonlinear stochastic delayed systems and complex networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-12 Junyan Xu, Yang Liu, Jianlong Qiu, Jianquan Lu
In this paper, we probe the th moment exponential stability (ES) of stochastic delayed systems subject to event-triggered delayed impulsive control (ETDIC), where the impulsive intensities are assumed to be positive random variables. Based on event-triggered mechanism (ETM) in the sense of expectation, some new sufficient conditions are developed to ensure the stability of the addressed system with
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Graph-let based approach to evolutionary behaviors in chaotic time series Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-11 Shuang Yan, Changgui Gu, Huijie Yang
In the Graph-let based time series analysis, a time series is mapped into a series of graph-lets, representing the local states respectively. The bridges between successive graph-lets are reduced simply to a linkage with an information of occurrence. In the present work, we focus our attention on the bridge series, i.e., preserve the structures of the bridges and reduce the states into nodes. The bridge
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Global well-posedness of strong solutions to the two-dimensional inhomogeneous biaxial nematic liquid crystal flow with vacuum Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-11 Yiyi Feng, Yang Liu
This paper considers the inhomogeneous biaxial nematic liquid crystal flow in a smooth bounded domain , where the velocity and the orthogonal unit vector fields admit the Dirichlet and Neumann boundary condition, respectively. By applying piecewise estimate and continuity method, we get the global existence of strong solutions, provided that the basic energy is suitably small. Our result may be regarded
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Stability analysis of random fractional-order nonlinear systems and its application Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-10 Ticao Jiao, Guangdeng Zong, Quanxin Zhu, Lei Wang, Haibin Sun
The research on stability analysis and control design for random nonlinear systems have been greatly popularized in recent ten years, but almost no literature focuses on the fractional-order case. This paper explores the stability problem for a class of random Caputo fractional-order nonlinear systems. As a prerequisite, under the globally and the locally Lipschitz conditions, it is shown that such
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Dynamical behaviors in perturbative longitudinal vibration of microresonators under the parallel-plate electrostatic force Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-10 Sengen Hu, Liangqiang Zhou
The dynamic model for perturbative longitudinal vibration of microresonators subjected to the parallel-plate electrostatic force, which can be converted into a cubic oscillator with nonlinear polynomials, is established in this manuscript. The orbits and global dynamical behaviors of the cubic oscillator at full state are studied both analytically and numerically. The expressions of homoclinic orbits
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Coyote and Badger Optimization (CBO): A natural inspired meta-heuristic algorithm based on cooperative hunting Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-07 Mahmoud Khatab, Mohamed El-Gamel, Ahmed I. Saleh, Atallah El-Shenawy, Asmaa H. Rabie
Optimization techniques play a pivotal role in refining problem-solving methods across various domains. These methods have demonstrated their efficacy in addressing real-world complexities. Continuous efforts are made to create and enhance techniques in the realm of research. This paper introduces a novel technique that distinguishes itself through its clarity, logical mathematical structure, and robust
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Dynamical properties of a stochastic tumor–immune model with comprehensive pulsed therapy Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-05 Wei Li, Bingshuo Wang, Dongmei Huang, Vesna Rajic, Junfeng Zhao
In this paper, a stochastic tumor–immune model with comprehensive pulsed therapy is established by taking stochastic perturbation and pulsed effect into account. Some properties of the model solutions are given in the form of the Theorems. Firstly, we obtain the equivalent solutions of the tumor–immune system by through three auxiliary equations, and prove the system solutions are existent, positive
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Explicit exponential Runge–Kutta methods for semilinear time-fractional integro-differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Jun Zhou, Hao Zhang, Mengmeng Liu, Da Xu
In this work, we consider and analyze explicit exponential Runge–Kutta methods for solving semilinear time-fractional integro-differential equation, which involves two nonlocal terms in time. Firstly, the temporal Runge–Kutta discretizations follow the idea of exponential integrators. Subsequently, we utilize the spectral Galerkin method to introduce a fully discrete scheme. Then, we mainly focus on
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Numerical discretization of initial–boundary value problems for PDEs with integer and fractional order time derivatives Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Zaid Odibat
This paper is mainly concerned with introducing a numerical method for solving initial–boundary value problems with integer and fractional order time derivatives. The method is based on discretizing the considered problems with respect to spatial and temporal domains. With the help of finite difference methods, we transformed the studied problem into a set of fractional differential equations. Then
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A generalized scalar auxiliary variable approach for the Navier–Stokes-[formula omitted]/Navier–Stokes-[formula omitted] equations based on the grad-div stabilization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-03 Qinghui Wang, Pengzhan Huang, Yinnian He
In this article, based on the grad-div stabilization, we propose a generalized scalar auxiliary variable approach for solving a fluid–fluid interaction problem governed by the Navier–Stokes-/Navier–Stokes- equations. We adopt the backward Euler scheme and mixed finite element approximation for temporal-spatial discretization, and explicit treatment for the interface terms and nonlinear terms. The proposed
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Unconditionally maximum principle-preserving linear method for a mass-conserved Allen–Cahn model with local Lagrange multiplier Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-09-01 Junxiang Yang, Junseok Kim
In this work, we present a conservative Allen–Cahn (CAC) equation and investigate its unconditionally maximum principle-preserving linear numerical scheme. The operator splitting strategy is adopted to split the CAC model into a conventional AC equation and a mass correction equation. The standard finite difference method is used to discretize the equations in space. In the first step, the temporal
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Simultaneous space–time Hermite wavelet method for time-fractional nonlinear weakly singular integro-partial differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-31 Sudarshan Santra, Ratikanta Behera
An innovative simultaneous space–time Hermite wavelet method has been developed to solve weakly singular fractional-order nonlinear integro-partial differential equations in one and two dimensions with a focus whose solutions are intermittent in both space and time. The proposed method is based on multi-dimensional Hermite wavelets and the quasilinearization technique. The simultaneous space–time approach
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Finite time stability of nonlinear impulsive stochastic system and its application to neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-31 Jingying Liu, Quanxin Zhu
In this paper, we employ the Lyapunov theory to generalize the finite time stability (FTS) results from general deterministic impulsive systems to impulsive stochastic time-varying systems, which overcomes inherent challenges. Sufficient conditions for the FTS of the system under stabilizing and destabilizing impulses are established by using the method of average dwell interval (ADT). For FTS of stabilizing
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Mathematical derivation of a unified equations for adjoint lattice Boltzmann method in airfoil and wing aerodynamic shape optimization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 H. Jalali Khouzani, R. Kamali-Moghadam
Unified equations of the adjoint lattice Boltzmann method (ALBM) are derived for five applicable objective functions in 2D/3D aerodynamic shape optimization problems. The derived equations include the adjoint equation, boundary condition, terminal condition and gradient of the cost function. In this research, firstly, these relations are extracted for each objective in details and then the general
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Sliding mode observers for set-valued Lur’e systems with uncertainties beyond observational range Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Samir Adly, Jun Huang, Ba Khiet Le
In this paper, we introduce a new sliding mode observer for Lur’e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard range of observation. Traditionally, most ofLuenberger-like observers and sliding mode observer have been designed only for uncertainties in the range of observation. Central to our approach is the treatment of the uncertainty
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From Lévy walks to fractional material derivative: Pointwise representation and a numerical scheme Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Łukasz Płociniczak, Marek A. Teuerle
The fractional material derivative appears as the fractional operator that governs the dynamics of the scaling limits of Lévy walks - a stochastic process that originates from the famous continuous-time random walks. It is usually defined as the Fourier–Laplace multiplier, therefore, it can be thought of as a pseudo-differential operator. In this paper, we show that there exists a local representation
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A stochastic averaging mathematical framework for design and optimization of nonlinear energy harvesters with several electrical DOFs Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-30 Kailing Song, Michele Bonnin, Fabio L. Traversa, Fabrizio Bonani
Energy harvesters for mechanical vibrations are electro-mechanical systems designed to capture ambient dispersed kinetic energy, and to convert it into usable electrical power. The random nature of mechanical vibrations, combined with the intrinsic non-linearity of the harvester, implies that long, time domain Monte-Carlo simulations are required to assess the device performance, making the analysis
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Probabilistic solution of non-linear random ship roll motion by data-driven method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-29 Changshui Feng, Xinhui Nie
In this paper, a data-driven method is employed to investigate the probability density function (PDF) of nonlinear stochastic ship roll motion. The mathematical model of ship roll motion comprises a linear term with cubic damping and a nonlinear restoring moment represented as an odd-degree polynomial up to the fifth order. The data-driven method integrates maximum entropy, the pseudo-inverse algorithm
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Input-to-state hybrid impulsive formation stabilization for multi-agent systems with impulse delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-29 Zhanlue Liang, Xinzhi Liu
This paper addresses the input-to-state formation stabilization problem of nonlinear multi-agent systems within a hybrid impulsive framework, considering delay-dependent impulses, strong nonlinearity, and deception attack signals. By leveraging Lyapunov functionals, impulsive comparison theory, average impulsive interval methods, and graph theory, we develop novel criteria for possessing locally input-to-state
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Dynamical manifold dimensionality as characterization measure of chimera states in bursting neuronal networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Olesia Dogonasheva, Daniil Radushev, Boris Gutkin, Denis Zakharov
Methods that distinguish dynamical regimes in networks of active elements make it possible to design the dynamics of models of realistic networks. A particularly salient example of such dynamics is partial synchronization, which may play a pivotal role in emergent behaviors of biological neural networks. Such emergent partial synchronization in structurally homogeneous networks is commonly denoted
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Extension of Delaunay normalisation for arbitrary powers of the radial distance Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Ernesto Lanchares, Jesús F. Palacián
In the framework of perturbed Keplerian systems we deal with the Delaunay normalisation of a wide class of perturbations such that the radial distance is raised to an arbitrary real number . The averaged function is expressed in terms of the Gauss hypergeometric function whereas the associated generating function is the so called Appell hypergeometric function . The Gauss hypergeometric function related
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A high-static-low-dynamic-stiffness delayed resonator vibration absorber Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Yifan Liu, Li Cheng
Delayed resonator (DR), which enables complete vibration suppression through loop delay tuning, has been extensively investigated as a linear active dynamic vibration absorber since its invention. Besides, the nonlinear high-static-low-dynamic stiffness (HSLDS) has been widely used in vibration isolators for broadband (yet incomplete) vibration reduction. This work combines the benefits of DR and the
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Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Anshima Singh, Sunil Kumar
In the present study, we introduce a high-order non-polynomial spline method designed for non-linear time-fractional reaction–diffusion equations with an initial singularity. The method utilizes the L2-1 scheme on a graded mesh to approximate the Caputo fractional derivative and employs a parametric quintic spline for discretizing the spatial variable. Our approach successfully tackles the impact of
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Inertial Halpern-type methods for variational inequality with application to medical image recovery Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Aisha Aminu Adam, Abubakar Adamu, Abdulkarim Hassan Ibrahim, Dilber Uzun Ozsahin
In this paper, we propose inertial Halpern-type algorithms involving a quasi-monotone operator for approximating solutions of variational inequality problems which are fixed points of quasi-nonexpansive mappings in reflexive Banach spaces. We use Bregman distance functions to enhance the efficiency of our algorithms and obtain strong convergence results, even in cases where the Lipschitz constant of
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Predefined-time synchronization of time-varying delay fractional-order Cohen–Grossberg neural network based on memristor Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Xinyao Cui, Mingwen Zheng, Yanping Zhang, Manman Yuan, Hui Zhao, Yaoming Zhang
This paper delves into the synchronization dynamics of fractional-order memristor Cohen–Grossberg neural network systems with time-varying delays at predefined times (PTS-MFCGNNs). Firstly, leveraging the concept of predefined-time stability, we devise a fractional-order controller, establish sufficient conditions for predefined-time synchronization, and achieve synchronization within the Cohen–Grossberg
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Is maximum tolerated dose (MTD) chemotherapy scheduling optimal for glioblastoma multiforme? Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-28 Chiu-Yen Kao, Seyyed Abbas Mohammadi, Mohsen Yousefnezhad
In this study, we investigate a control problem involving a reaction–diffusion partial differential equation (PDE). Specifically, the focus is on optimizing the chemotherapy scheduling for brain tumor treatment to minimize the remaining tumor cells post-chemotherapy. Our findings establish that a bang-bang increasing function is the unique solution, affirming the MTD scheduling as the optimal chemotherapy
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A map neuron with piezoelectric membrane, energy regulation and coherence resonance Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-27 Yanni Li, Qun Guo, Chunni Wang, Jun Ma
The cell membrane has a layered structure, which separates the intracellular and extracellular ions for developing gradient electromagnetic field, and its flexible property enables the capacitance dependence on the shape deformation due to external stimuli. Therefore, piezoelectric membrane can be suitable to describe the biophysical characteristic of cell membrane and equivalent circuit approach becomes
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Two-level Arrow–Hurwicz iteration methods for the steady bio-convection flows Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-27 Yihan Lu, Rong An, Yuan Li
To avoid solving a saddle-point system, in this paper, we study two-level Arrow–Hurwicz finite element methods for the steady bio-convection flows problem which is coupled by the steady Navier–Stokes equations and the steady advection–diffusion equation. Using the mini element to approximate the velocity, pressure, and the piecewise linear element to approximate the concentration, we use the linearized
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Stochastic optimization of targeted energy transfer with time-dependent cubic nonlinearity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-27 A. Labetoulle, S. Missoum, E. Gourdon, A. Ture Savadkoohi
The stochastic optimization of a nonlinear energy sink (NES) with a time-dependent stiffness is considered. The NES is linearly coupled to a main system. The optimization aims to find the stiffness properties of the NES that minimize the expected value of the velocity of the main system while accounting for the statistical distributions of the excitation amplitude and frequency. It is shown that the
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Practically fast finite-time stability of stochastic constrained nonlinear systems with actuator dead zone Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-26 Lifang Qiu, Junsheng Zhao, Zong-Yao Sun
This article addresses the challenge of achieving practically fast finite-time stabilization for stochastic constrained nonlinear systems, which are subject to both quantization effects and actuator dead zones. To tackle these issues, adaptive parameterization and partial control strategies are introduced with the aim of efficiently approximating and counteracting nonlinear disturbances. This approach
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Finite time prescribed performance control for stochastic systems with asymmetric error constraint and actuator faults Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-26 Yang Wu, Lianjun Hu, Lingling Liu, Yakun Zhang, Yong Zhang
This paper investigates the problem of finite time prescribed performance control (PPC) for a number of nonlinear stochastic systems with asymmetric error constraint, unknown control directions, and actuator faults. Firstly, instead of introducing the performance constraint function in the Lyapunov function, a new asymmetric error conversion function (AECF) is presented, which can successfully constrain
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Problems and corrections of classical mathematical model for piecewise linear system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-24 Yongjun Shen, Ruiliang Zhang, Dong Han, Xiaoyan Liu
Due to the existence of gaps or backlash, many mechanical systems can be simplified into piecewise linear models. The dynamic study on mechanical systems should be based on reliable mathematical models. So that it is very important to determine the contact point and separation point between the primary system and the auxiliary spring system (ASS) in a piecewise linear system. In most existing literature
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General decay anti-synchronization and [formula omitted] anti-synchronization of derivative coupled delayed memristive neural networks with constant and delayed state coupling Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-24 Yanli Huang, Aobo Li
In this article, we explore the general decay anti-synchronization (GDAS) and general decay anti-synchronization (GDHAS) of derivative coupled delayed memristive neural networks (DCDMNNs) with constant and delayed state coupling, respectively. To begin with, on account of the definitions of -type function as well as -type stability, we present the GDAS and GDHAS concepts for the considered DCDMNNs
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Event-triggered-based fixed/preassigned-time synchronization control of second-order neural networks with distributed delays Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-24 Guodong Zhang, Rajan Rakkiyappan, Leimin Wang
In this article, a kind of second-order neural networks with variable coefficients and distributed delays are discussed. At first, new lemmas about fixed/preassigned-time synchronization for such system are respectively constructed. Then, some novel criteria are given to get fixed/preassigned-time synchronization for such delayed system based on the these lemmas. Unlike feedback controllers are used
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Solvability of functional third-order problems of Ambrosetti–Prodi-type Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Feliz Minhós, Nuno Oliveira
This work presents an Ambrosetti–Prodi alternative for functional problems composed of a fully third-order differential equation with two types of functional boundary conditions. The discussion of existence and non-existence of solution is obtained in a more general case, and the multiplicity of solution is done with restrictive boundary conditions-
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Dynamic event-triggered neuro-optimal control for uncertain nonlinear systems with unknown dead-zone constraint Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Shunchao Zhang, Jiawei Zhuang, Yongwei Zhang
In this article, we propose a dynamic event-triggered neuro-optimal control scheme (DETNOC) for uncertain nonlinear systems subject to unknown dead-zone and disturbances through the design of a composite control law. An integral sliding mode-based discontinuous control law is utilized to compensate for the effects of unknown dead-zone, disturbance, and a component of uncertainties. As a result, a system
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([formula omitted])-contractive and ([formula omitted])-contractive mapping based fixed point theorems in fuzzy bipolar metric spaces and application to nonlinear Volterra integral equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Sonam
In this paper, we introduce some novel concepts within the realm of fuzzy bipolar metric spaces, namely ()-contractive type covariant mappings and contravariant mappings, and ()-contractive type covariant mappings. We establish some fixed point theorems that demonstrate both the existence and uniqueness of fixed points for ()-contractive type covariant mappings and contravariant mappings, and for ()-contractive
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Control and stochastic dynamic behavior of Fractional Gaussian noise-excited time-delayed inverted pendulum system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Tianxu Li, Xudong Sun, Qiubao Wang, Xiuying Guo, Zikun Han
In this paper, we investigate the control and dynamic behavior of the inverted pendulum system with time delay under fractional Gaussian noise excitation. For H=1/2 and H, we analyze the stochastic dynamic characteristics of the system under Hopf bifurcation, utilizing time delay and noise intensity as bifurcation parameters, and validate the theoretical conclusions through numerical simulations. We
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Semi-wavefront for a Belousov–Zhabotinskii reaction–diffusion system with spatio-temporal delay Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Ge Tian, Guo-Bao Zhang
This paper considers a Belousov–Zhabotinskii reaction–diffusion system with spatio-temporal delay. The spatio-temporal delay is modeled as the convolution of with a kernel function , where . By constructing an auxiliary system, applying Schauder’s fixed point theorem, and using a limiting argument, we demonstrate that the model admits non-negative traveling wave solutions connecting the equilibrium
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Convergence of the Two Point Flux Approximation method and the fitted Two Point Flux Approximation method for options pricing with local volatility function Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Rock S. Koffi, Antoine Tambue
In this paper, we deal with numerical approximations for solving the Black–Scholes Partial Differential Equation (PDE) for European and American options pricing with local volatility. This PDE is well-known to be degenerated. Local volatility model is a model where the volatility depends locally of both stock price and time. In contrast to constant volatility or time-dependent volatility models for
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Positive steady states in a two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Sheng Xue, Shanbing Li
– In this paper, we consider the following stationary two-species chemotaxis-competition system with signal-dependent diffusion and sensitivity in a bounded smooth domain , where are positive constants, and with for all . Since there does not exist an immediate change variable that transforms (0.1) into a semilinear system when (0.1) is considered with being arbitrary functions in , this makes the
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Reduced-order reconstruction of discrete grey forecasting model and its application Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Kailing Li, Naiming Xie
Discrete grey forecasting models based on an accumulative operator have been widely used in many practical fields. With the development of grey forecasting models, it is a problem to be solved to further analyze internal mechanisms and unify the structures. This paper aims to reconstruct the model from a perspective of sequence characteristics and simplify the modeling steps under the condition of
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Studying the transient process of an intermittent control system from its response property Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Jianbing Hu, Shuguang Li, Zhe Jin, Xiaochao Chao
As we all know, the output of a system is affected by its input and response properties. When the input switches, there must exist a transient process in the output and this transient process is different for different systems due to their different response properties and different dynamic process. However, the response property and dynamic process have rarely been studied in the obtained achievements
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Secure pinning synchronization on aperiodic intermittent event-triggered control in discrete-time complex networks against multi-pattern link attacks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-23 Wenying Yuan, Qian Dong, Tianchi Tong, Jinsheng Sun
This paper investigates the problem of secure synchronization in aperiodic intermittent event-triggered pinning control for discrete-time complex networks (DCNs) against multi-pattern link attacks. Firstly, in order to reduce communication burden and control cost, a novel aperiodic intermittent event-triggered control (AIEC) with discontinuous characteristics is designed based on periodic sampling
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Non-ergodic convergence rate of an inertial accelerated primal–dual algorithm for saddle point problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-22 Xin He, Nan-Jing Huang, Ya-Ping Fang
In this paper, we design an inertial accelerated primal–dual algorithm to address the convex–concave saddle point problem, which is formulated as . Remarkably, both functions and exhibit a composite structure, combining “nonsmooth” + “smooth” components. Under the assumption of partially strong convexity in the sense that is convex and is strongly convex, we introduce a novel inertial accelerated primal–dual
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Measurement of safety state of cross-jointed segmental lining based on system performance index Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-22 Xinping Dong, Guolong Ping, Renxiang Dong
The correlation between convergence deformation and the safety state of a cross-jointed segmental lining is investigated and clarified. The limitations of convergence deformation as a measuring scale is explored also. Firstly, an analytical algorithm (known as the relative stiffness method, RSM) is developed and verified for tracing the mechanical response of a cross-jointed segmental lining in failure
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Self-spinning of liquid crystal elastomer tubes under constant light intensity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-22 Yunlong Qiu, Yuntong Dai, Kai Li
Self-oscillating motion have the capacity to autonomously converting ambient power into repetitive motion without requiring an additional control unit, and designing more self-oscillating can broaden their utilization in energy extraction, robotic systems, and sensors. However, cyclic self-oscillating motions often cause structural instability and increase friction. To address these challenges, we
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Magneto-photo-thermoelastic influences on a semiconductor hollow cylinder via a series-one-relaxation model Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-22 A.M. Zenkour, H.D. El-Shahrany, H.F. El-Mekawy
This article discusses the deformation of semiconductor cylinders in the context of photothermoelastic theory. The proposed model is used to describe thermal waves, plasma waves, and elastic waves and analyze the theoretical analysis of thermal deformation effects on semiconductor hollow cylinders. The interior of the hollow cylinder is clamped and unaffected by thermal loads and carrier concentrations
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On a Schrödinger equation involving fractional [formula omitted]-Laplacian with critical growth and Trudinger–Moser nonlinearity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-19 Huilin Lv, Shenzhou Zheng
A nonlinear Schrödinger equation of fractional -Laplacian is considered with the Rabinowitz potential, critical Sobolev growth and Trudinger–Moser nonlinearity in We establish the global existence of nonnegative ground-state solution for suitable parameter values primarily through variational analysis, fractional Trudinger–Moser inequality and mountain pass approach. It is a crucial ingredient to handle
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L1-FEM discretizations for two-dimensional multiterm fractional delay diffusion equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-17 Tan Tan, Hongliang Liu, Weiping Bu
A two-dimensional multiterm fractional delay diffusion equation is considered. The representation of the exact solution of the equation is derived and it is shown that the solution exhibits singular behaviors at multiple nodes due to the initial singularity and time delay. This results in the numerical schemes for solving the equation typically have a lower order of convergence in time. The problem
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A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-17 Abderrahim Charkaoui, Anouar Ben-Loghfyry
In this work, we introduce an innovative fractional nonlinear parabolic model using a time-fractional order derivative, specifically employing the sense for fractional differentiation. This model aims to enhance traditional super-resolution models, particularly in the context of multi-frame image super-resolution. Additionally, we incorporate a regularized Perona–Malik diffusion mechanism to control
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Novel multi-step predictor–corrector schemes for backward stochastic differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-17 Qiang Han, Shaolin Ji
Novel multi-step predictor–corrector numerical schemes have been derived for approximating decoupled forward–backward stochastic differential equations. The stability and high order rate of convergence of the proposed schemes are rigorously proved. We also present a sufficient and necessary condition for the stability of the schemes. Numerical experiments are given to illustrate the stability and convergence
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Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-17 Mostafa Bendahmane, Youssef Ouakrim, Yassine Ouzrour, Mohamed Zagour
This paper presents a nonlinear reaction–diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions, along with the evolution of velocity within the solid region. By formulating the system that describes the phenomena across the entire domain, encompassing both
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Nonlinear flow phenomenon of a power-law non-Newtonian fluid falling down a cylinder surface Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-16 Chicheng Ma, Fan Zhang, Dequan Zhang, Chengjiao Yu, Gang Wang
In this paper, we present a comprehensive study of the fingering phenomenon of a power-law non-Newtonian fluid falling down a cylinder surface. A theoretical analysis is firstly carried out and the governing equation describing the film thickness is established for the non-Newtonian fluid denoted by a power-law index . Using the lubrication theory with dimensionless variables, the partial differential
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A bilinear modeling in counts time series with applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-16 Rana Bamdadi, Mehrnaz Mohammadpour, Sakineh Ramezani
This paper introduces a modified bilinear model for integer-valued time series in which thinning operators are applied in bilinear terms involving the product of the input and state process separately. The proposed model is able to consider overdispersion. Furthermore, it connects a feature of the integer-valued autoregressive conditional heteroskedasticity and integer-valued autoregressive processes
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Pulse vaccination in a SIR model: Global dynamics, bifurcations and seasonality Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-16 João P.S. Maurício de Carvalho, Alexandre A. Rodrigues
We analyze a periodically-forced dynamical system inspired by the SIR model with impulsive vaccination. We fully characterize its dynamics according to the proportion of vaccinated individuals and the time between doses. If the is less than 1 (), then we obtain precise conditions for the existence and global stability of a disease-free solution. Otherwise, if , then a globally stable solution emerges
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Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen–Cahn equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-14 Jiayin Li, Jingwei Li
The vector-valued Allen–Cahn equations have been extensively applied to simulate the multiphase flow models. In this paper, we consider the maximum bound principle (MBP) and corresponding numerical schemes for the vector-valued Allen–Cahn equations. We firstly formulate the stabilized equations via utilizing the linear stabilization technique, and then focus on the bounding constant of the nonlinear
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MHPD: An efficient evaluation method for influence maximization on hypergraphs Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-14 Haosen Wang, Qingtao Pan, Jun Tang
Influence maximization problem (IM) has been extensively applied in fields such as viral marketing, rumor control, and infectious disease prevention. However, research on the IM problem has primarily focused on ordinary networks, with limited attention devoted to hypergraphs. Firstly, we propose an efficient evaluation method, i.e., the multiple-hop probability dissemination method (MHPD), aiming to
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A numerical study of the scattering in the He-Cu model with a Morse potential: Parabolic manifolds and exponentially small phenomena Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-14 E. Barrabés, F. Borondo, E. Fontich, P. Martín, M. Ollé
We consider the classical approximation of a realistic model for the scattering of He atoms from Cu surfaces. For this problem, modeled by a two-degrees-of-freedom Hamiltonian system, the existence of chaos has been proven analytically very recently for sufficiently large values of the energy, if some quantity, known as the Stokes constant, is non-zero (Borondo et al., 2024). Taking two different and