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A Note on Homeo-Product-Minimality Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-18 J. P. Boroński, Magdalena Foryś-Krawiec, Piotr Oprocha
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Hyers–Ulam Stability of Linear Quaternion-Valued Differential Equations with Two-Sided Constant Coefficients Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-18
Abstract In this paper, the Hyers–Ulam stability of linear quaternion-valued differential equations with two-sided constant coefficients are studied. Utilizing the complex representation of quaternions, we transform a nth-order quaternion-valued differential equation with two-sided constant coefficients into four nth-order complex differential equations. Then we derive the Hyers–Ulam stability by means
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Multiple Positive Solutions for Kirchhoff-Type Problems Involving Supercritical and Critical Terms Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-16 Deke Wu, Hongmin Suo, Jun Lei
We investigate the multiplicity results of positive solutions for a Kirchhoff-type problems with supercritical and critical nonlinear terms in a ball. By employing the Nehari method and Lusternik–Schnirelmann category theory to an auxiliary problems, we note that there is a relationship between the number of maxima in the coefficient function of the critical term and the number of positive solutions
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Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-15 Ming Liu, Zhaowen Zheng, Cui-Qin Ma, Dongpo Hu
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The Dynamics on Soliton Molecules and Soliton Bifurcation for an Extended Generalization of Vakhnenko Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-15
Abstract Vakhnenko-type equations play a critical role in nonlinear electromagnetic and optical fiber applications. In this article, we present a new advancement in high-frequency wave propagation in electromagnetic and optical fiber applications by investigating an extended generalization of the Vakhnenko equation. In our study, we employ the bilinear method and introduce an auxiliary function that
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Paul-Painlevé Analysis, Soliton and Periodic Wave in the Fractional Thermophoretic Motion Equation via Graphene Sheets Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-14 Xianqing Rao, Jalil Manafian, Mehrad Gavahi, Baharak Eslami, Maha Khalid Abdulameer, Enas R. Alwaily, Qurbanova Afat Qahraman Qizi
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On the Number of Limit Cycles Bifurcating from the Linear Center with a Cubic Switching Curve Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-14 Ranran Jia, Liqin Zhao
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Existence and Multiplicity of Normalized Solutions with Positive Energy for the Kirchhoff Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-14
Abstract In this paper, we investigate the existence and multiplicity of normalized solutions for the following Kirchhoff equation, P $$\begin{aligned} \left\{ \begin{array}{l} -\left( a+b \int _{\mathbb {R}^{3}}|\nabla u|^{2}dx\right) \Delta u-\lambda u=f(u), \quad \text{ in } \mathbb {R}^{3}, \\ \int _{\mathbb {R}^{3}}|u|^{2} d x=c, \end{array}\right. \end{aligned}$$ where a, b, c are positive constants
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On the $$\rho $$ -Caputo Impulsive p-Laplacian Boundary Problem: An Existence Analysis Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-12 Farid Chabane, Maamar Benbachir, Sina Etemad, Shahram Rezapour, İbrahim Avcı
Due to the importance of some physical systems, in this paper, we aim to investigate a generalized impulsive \(\rho \)-Caputo differential equation equipped with a p-Laplacian operator. In fact, our problem is a generalization of fractional differential equations equipped with the integral boundary conditions, impulsive forms and p-Laplacian operators under the Nemytskii operators. In this direction
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Existence and Hyers–Ulam Stability of Jerk-Type Caputo and Hadamard Mixed Fractional Differential Equations Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-10 Yanli Ma, Maryam Maryam, Usman Riaz, Ioan-Lucian Popa, Lakhdar Ragoub, Akbar Zada
This article is concerned with existence of mild solutions for jerk-type fractional differential equations in the sense of Hadamard and Caputo fractional derivatives with separated boundary conditions. For the uniqueness of mild solutions in both cases, Banach contraction principle are followed. Moreover, at least one mild solution of jerk-type Caputo–Hadamard and Hadamard–Caputo fractional differential
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Spreading Speed in an Asymptotic Autonomous System with Application to a Diffusive Stage-Structured SLIRM Model Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-10 Guo Lin, Haiqin Wei
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Bazykin’s Predator–Prey Model Includes a Dynamical Analysis of a Caputo Fractional Order Delay Fear and the Effect of the Population-Based Mortality Rate on the Growth of Predators Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-08 G. Ranjith Kumar, K. Ramesh, Aziz Khan, K. Lakshminarayan, Thabet Abdeljawad
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Analysis of a Coupled System of $$\psi $$ -Caputo Fractional Derivatives with Multipoint–Multistrip Integral Type Boundary Conditions Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-08 Haroon Niaz Ali Khan, Akbar Zada, Ishfaq Khan
In this paper, we investigate the existence of solutions for a new coupled system of fractional differential equations that involves \(\psi \)-Caputo fractional derivatives equipped with coupled integro multistrip–multipoint boundary conditions. The uniqueness result for the given problem is obtained by utilizing the Banach contraction principle, while the existence results are established with the
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On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-08 Hira Waheed, Akbar Zada, Ioan-Lucian Popa, Sina Etemad, Shahram Rezapour
The main purpose of the paper is to study the qualitative theory of the solutions of a multi-point sequential Caputo–type p–Laplacian coupled system. The existence and uniqueness of the solution of the aforementioned system are studied with the help of fixed point theorems and properties of a p–Laplacian operator. Furthermore, the Hyers–Ulam stability and generalized Hyers–Ulam stability are also investigated
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Multiple Solutions to a Transmission Problem with a Critical Hardy-Sobolev Exponential Source Term Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-07 Yue Wang
In the paper there are established many results for a transmission problem with critical Hardy-Sobolev exponential source term \(\frac{u^3}{|x|}\) in \({\mathbb {R}}^3\). We obtain that there are at least three weakly nontrivial solutions when a positive coefficient of nonhomogeneous term is enough small using the variational method. Next infinitely many classical solutions are obtained when the coefficient
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Bifurcation Analysis and Soliton Solutions to the Kuralay Equation Via Dynamic System Analysis Method and Complete Discrimination System Method Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-05
Abstract In this paper, the dynamical system bifurcation theory approach are employed to investigate the phase diagrams of the magnet-optic wave guides in Kuralay. With the use of the complete discrimination system, we obtain some new traveling wave solutions, including kink solitary, convex-periodic, Jacobian elliptic function solutions, dark-soliton and implicit analytical solutions. More details
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Eberlein-Weakly Almost Periodic Solutions for Some Partial Functional Differential Equation with Infinite Delay Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-04 El Hadi Ait Dads, Brahim Es-sebbar, Samir Fatajou, Zakaria Zizi
In this work, we prove some new results concerning the class of Eberlein weakly almost periodic functions in Stepanov’s sense. We prove that if the forcing term of a partial functional differential equation with infinite delay is Eberlein-weakly almost periodic in Stepanov’s sense, then the solution is even Eberlein-weakly almost periodic. This shows that a less regular almost periodic behavior in
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Total Collision in a Four-Body Problem with Jacobi Potential Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-04 Lennard Bakker, Manuele Santoprete, Cristina Stoica
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Strong Chain Transitivity via Uniformity Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-04 Seyyed Alireza Ahmadi
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Invariant Circles and Phase Portraits of Cubic Vector Fields on the Sphere Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-02
Abstract In this paper, we characterize and study dynamical properties of cubic vector fields on the sphere \(\mathbb {S}^2 = \{(x, y, z) \in \mathbb {R}^3 ~|~ x^2+y^2+z^2 = 1\}\) . We start by classifying all degree three polynomial vector fields on \(\mathbb {S}^2\) and determine which of them form Kolmogorov systems. Then, we show that there exist completely integrable cubic vector fields on \(\mathbb
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Specification and Shadowing Properties of Free Semigroup Actions Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-02
Abstract In this paper, we introduce shadowing-like properties and specification-like properties of free semigroup actions, such as periodic shadowing property, strong periodic shadowing property, special periodic shadowing property, local specification property, and local weak specification property. Furthermore, some fundamental properties of these notions are given. Finally, under some conditions
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Qualitative Analysis of Fractional Stochastic Differential Equations with Variable Order Fractional Derivative Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-01 Amjad Ali, Khezer Hayat, Abrar Zahir, Kamal Shah, Thabet Abdeljawad
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Hilbert Number for a Family of Piecewise Nonautonomous Equations Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-01 J. L. Bravo, M. Fernández, I. Ojeda
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A Test for Global Attractivity of Linear Dynamic Equations with Delay Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-03-01 Nour H. M. Alsharif, Basak Karpuz
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Spatial Movement with Distributed Memory and Maturation Delay Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-26 Shuhao Wu, Yongli Song
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Boundedness and Large Time Behavior for Flux Limitation in a Two-Species Chemotaxis System Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-25 Chun Wu, Xiaojie Huang
In this paper, the following cross-diffusion system is investigated $$\begin{aligned} \left\{ \begin{array}{llll} u_t=\nabla \cdot \big ((u+1)^{m-1}\nabla u\big )-\nabla \cdot \Bigg (\frac{u\nabla z}{(1+|\nabla z|^2)^\alpha }\Bigg ),\\ 0=\Delta z-z+v,\\ v_t=\nabla \cdot \big ((v+1)^{m-1}\nabla v\big )-\nabla \cdot \Bigg (\frac{v\nabla w}{(1+|\nabla w|^2)^\alpha }\Bigg ),\\ 0=\Delta w-w+u, \end{array}\right
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An Extension to Direct Method of Clarkson and Kruskal and Painlev $$\acute{e}$$ Analysis for the System of Variable Coefficient Nonlinear Partial Differential Equations Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-22
Abstract In this work, direct method of Clarkson and Kruskal has been extended for the system of variable coefficient nonlinear partial differential equations. This extension can be applied to various higher order systems with variable coefficients to obtain novel exact solutions. An example of coupled KdV-Burgers system with variable coefficients has been considered to obtain the new exact solutions
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Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-22 Ítalo Melo, Sergio Romaña
In this paper, we prove that if the geodesic flow of a complete manifold without conjugate points with sectional curvatures bounded below by \(-c^2\) is of Anosov type, then the constant of contraction of the flow is \(\ge e^{-c}\). Moreover, if M has a finite volume, the equality holds if and only if the sectional curvature is constant. We also apply this result to get a certain rigidity for bi-Lipschitz
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Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-21 Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang, Tian-Tian Zhang
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Analysis of Abstract Partial Impulsive Integro-Differential System with Delay via Integrated Resolvent Operator Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-17 Ishfaq Khan, Akbar Zada
In this manuscript, we employ integrated resolvent operator to derive the variation of constants formula for the solution of the impulsive integro-differential system, in nonlocal domain with finite delay function. Using the Banach fixed point theorem and integrated resolvent operator, we explore the existence of mild solution of the aforementioned system. Additionally, we establish the Hyers–Ulam
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Stability Analysis and Existence Criteria with Numerical Illustrations to Fractional Jerk Differential System Involving Generalized Caputo Derivative Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-17 Mohammed M. Matar, Mohammad Esmael Samei, Sina Etemad, Abdelkader Amara, Shahram Rezapour, Jehad Alzabut
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Exponential Stabilization of a Flexible Structure: A Delayed Boundary Force Control Versus a Delayed Boundary Moment Control Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-17 Boumediène Chentouf, Nejib Smaoui
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Geometric Approach to the Bifurcation at Infinity: A Case Study Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-16 Yu Ichida, Takashi Okuda Sakamoto
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Topological Entropy and Sequence Entropy for Hom Tree-Shifts on Unexpandable Trees Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-16
Abstract This article explores the topological entropy and topological sequence entropy of hom tree-shifts on unexpandable trees. Regarding topological entropy, we establish that the entropy, denoted as \(h({\mathcal {T}}_X)\) on an unexpandable tree, equals the entropy h(X) of the base shift X when X is a subshift satisfying the almost specification property. Additionally, we derive some fundamental
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Existence of Traveling Wave Solutions for the Perturbed Modefied Gardner Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-09
Abstract The modified Gardner equation is widely used to describe the supernonlinear proliferation of ion-acoustic waves and quantum electron-positron ion magneto plasmas. This paper focuses on the investigation of the modified Gardner equation with Kuramoto-Sivashinsky perturbation. The existence results of nonlinear and supernonlinear ion-acoustic solitary and periodic waves are established by employing
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Stability and Numerical Analysis of a Coupled System of Piecewise Atangana–Baleanu Fractional Differential Equations with Delays Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-09 Mohammed A. Almalahi, K. A. Aldwoah, Kamal Shah, Thabet Abdeljawad
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Theory and Computation of Radial Solutions for Neumann Problems with $$\phi $$ -Laplacian Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-09
Abstract The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for the Neumann problem involving a general \(\phi \) -Laplace operator. Our results apply in particular to the classical Laplacian and to the mean curvature operators in the Euclidean and Minkowski spaces. Numerical experiments with the MATLAB object-oriented package Chebfun
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Oscillation Criteria for Even-Order Nonlinear Dynamic Equations with Sublinear and Superlinear Neutral Terms on Time Scales Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-09 Jehad Alzabut, Said R. Grace, Shyam Sundar Santra, Mohammad Esmael Samei
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Wave Propagation for a Discrete Diffusive Mosquito-Borne Epidemic Model Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-09
Abstract This paper is concerned with the existence and nonexistence of traveling wave solutions for a discrete diffusive mosquito-borne epidemic model with general incidence rate and constant recruitment. It is observed that whether the traveling wave solutions exist or not depend on the so-called basic reproduction ratio \(R_0\) of the corresponding kinetic system and the critical wave speed \(c^*\)
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Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-08 Yanfang Li, Donal O’Regan, Jiafa Xu
In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.
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Nine Limit Cycles Around a Weak Focus in a Class of Three-Dimensional Cubic Kukles Systems Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-07 Yuting Ouyang, Dongping He, Wentao Huang
In this paper, we study the bifurcation of limit cycles, centers, and isochronous centers for a class of three-dimensional Kukles systems of degree 3. Through calculating the singular point quantities, we obtain a necessary condition for the origin to be a center, then the Darboux integrability theory is used to prove that the necessary condition is also sufficient. Then, we demonstrate that the origin
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Khasminskii Approach for $$\psi $$ -Caputo Fractional Stochastic Pantograph Problem Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-06 Manar A. Alqudah, Hamid Boulares, Bahaaeldin Abdalla, Thabet Abdeljawad
In this manuscript, we study an averaging principle for fractional stochastic pantograph differential equations (FSDPEs) in the \(\psi \)-sense accompanied by Brownian movement. Under certain assumptions, we are able to approximate solutions for FSPEs by solutions to averaged stochastic systems in the sense of mean square. Analysis of system solutions before and after the average allows extending the
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On the Menger Probabilistic Bipolar Metric Spaces: Fixed Point Theorems and Applications Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-06 Gunaseelan Mani, Balaji Ramalingam, Sina Etemad, İbrahim Avcı, Shahram Rezapour
In this paper, we introduce a new class of metric spaces called the Menger probabilistic bipolar metric space and define some other notions related to this space. Moreover, we prove some uniqueness fixed point theorems for two cases including the covariant and contravariant maps. These fixed point theorems are new versions of the Banach contraction principle, Kannan theorem, and Reich-type theorem
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New Solitary Wave Solutions and Dynamical Behaviors of the Nonlinear Fractional Zakharov System Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-05 Kang-Le Wang
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Reducibility in a Certain Matrix Lie Algebra for Smooth Linear Quasi-periodic System Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-04 Yuan Zhang, Wen Si
In this paper we consider the linear quasi-periodic system $$\begin{aligned} \left\{ \begin{array}{l} {\dot{\theta }}=\omega ,\\ \dot{x}=(A+Q(\theta ))x,\\ \end{array} \right. \end{aligned}$$ where \((x,\theta )\in \mathbb {R}^n\times \mathbb {T}^d\), \(A\in g\) is a \(n\times n\) constant matrix with different eigenvalues, g is a matrix Lie subalgebra of \(gl(n,\mathbb {R})\), \(\omega =\xi \bar{\omega
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Existence and Stability Behaviour of FSDE Driven by Rosenblatt Process with the Application of Visual Perception of Fish Robot Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-03
Abstract The successive approximation used to derive the existence and stability results of the fractional stochastic differential equation (FSDEs) driven by the Rosenblatt process and numerical simulation are established and applied for the reduction of stochastic disturbance of minimal level in the visual perception trajectory. The Rosenblatt process ensures the stability of FDSEs by mitigating the
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Lie–Backlund Symmetry Generators and a Variety of Novel Periodic-Soliton Solutions to the Complex-Mode of Modified Korteweg-de Vries Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-02 Marwan Alquran, Rawya Al-deiakeh
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Threshold Dynamics and Probability Density Function of a Stochastic Multi-Strain Coinfection Model with Amplification and Vaccination Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-02-01 Lijuan Niu, Qiaoling Chen, Zhidong Teng
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On Separable Cubic Stochastic Operators Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-30 B. S. Baratov, U. U. Jamilov
In this paper, we explore separable cubic stochastic operators defined on a finite-dimensional simplex, which depend on three matrices. We have developed Lyapunov functions under specific conditions that influence the entries of these matrices. These functions enable us to establish upper bounds for the \(\omega \)-limit set of the trajectories. We also present a sufficient condition for identifying
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A Formal KAM Theorem for Hamiltonian Systems and Its Application to Hyperbolic Lower Dimensional Invariant Tori Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-30 Qi Li, Junxiang Xu
In this paper we reformulate a formal KAM theorem for Hamiltonian systems with parameters under Bruno-Rüssmann condition. The proof is based on KAM iteration and the key is to adjust the parameters for small divisors after KAM iteration instead of in each KAM step. By this formal KAM theorem we can follow some well known KAM-type results for hyperbolic tori. Moreover, it can also be applied to the
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The Application of Liénard Transformations to Predator–Prey Systems Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-25 Yuan Liu, André Zegeling, Wentao Huang
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Existence and Roughness of Nonuniform Exponential Dichotomies on Time Scales Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-24
Abstract In this manuscript, we discuss the roughness of nonuniform exponential dichotomies on a time scale in a Banach space and give the existence results for nonuniform and uniform exponential dichotomy for the time scale. We extend and unify the previous results by considering the equation on a time scale. For a given linear equation on a time scale, the existence of exponential dichotomy persists
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Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-19 Xinguang Zhang, Peng Chen, Yonghong Wu, Benchawan Wiwatanapataphee
In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more appropriate upper and lower solutions, we not only overcome the difficulty due to the negative augmented term but also remove a critical condition required in the existing work and establish new results for the existence of positive solutions of the equations
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Modeling Wave Propagation with Gravity and Surface Tension: Soliton Solutions for the Generalized Hietarinta-Type Equation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-11 Mostafa M. A. Khater
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The Impact of Allee Effect on a Leslie–Gower Predator–Prey Model with Hunting Cooperation Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-14 Yingzi Liu, Zhiyang Zhang, Zhong Li
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Soliton Solutions and Other Solutions to the (4+1)-Dimensional Davey–Stewartson–Kadomtsev–Petviashvili Equation using Modified Extended Mapping Method Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-12 Wafaa B. Rabie, Tarek A. Khalil, Niveen Badra, Hamdy M. Ahmed, M. Mirzazadeh, M. S. Hashemi
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Multiplicity of Solutions for a singular Problem Involving the n-Laplacian Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-10 Zijian Wu, Haibo Chen
Abstract In this paper, we study the following n-Laplacian equation with singular and exponential nonlinearities $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta _n u=\lambda u^{-q}+u^{p-1}\frac{e^{u^\beta }}{|x|^\alpha }\quad &{} \text{ in } \Omega ,\\ u>0\quad &{} \text{ in } \Omega ,\\ u=0\quad &{} \text{ on } \partial \Omega , \end{array}\right. } \end{aligned}$$ where \(\Omega \) is a bounded
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The Multiplicity of Nonnegative Nontrivial Solutions for p(x)-Kirchhoff Equation with Concave–Convex Nonlinearities Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-10 Changmu Chu, Weiran Fang, Zhongju He, Jiaquan Liu
Abstract This paper is devoted to study a class of p(x)-Kirchhoff equation with concave–convex nonlinearities. By means of perturbation technique and the variational method, the multiplicity of nonnegative nontrivial solutions to this problem is obtained.
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A Large Class of Dendrite Maps for Which Möbius Disjointness Property of Sarnak is Fulfilled Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-09 el Houcein el Abdalaoui, Joseph Devianne
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Global Hopf Bifurcation of a Diffusive Modified Leslie–Gower Predator–Prey Model with Delay and Michaelis–Menten Type Prey Harvesting Qual. Theory Dyn. Syst. (IF 1.4) Pub Date : 2024-01-07 Ke Wang, Xiaofeng Xu, Ming Liu