Results 91 to 100 of about 8,851 (211)

Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.
In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley   +1 more source

Homoclinic solutions for second-order non-autonomous Hamiltonian systems without global Ambrosetti-Rabinowitz conditions

Electronic Journal of Differential Equations, 2010
This article studies the existence of homoclinic solutions for the second-order non-autonomous Hamiltonian system $$ ddot q-L(t)q+W_{q}(t,q)=0, $$ where $Lin C(mathbb{R},mathbb{R}^{n^2})$ is a symmetric and positive definite matrix for all $tin ...
Rong Yuan, Ziheng Zhang
doaj  

Fast homoclinic solutions for damped vibration problems with superquadratic potentials

Boundary Value Problems, 2018
In this paper we investigate the existence and multiplicity of homoclinic solutions for the following damped vibration problem: DS u¨+q(t)u˙−L(t)u+Wu(t,u)=0, $$ \ddot{u}+q(t) \dot{u}-L(t)u+W_{u}(t,u)=0, $$ where q:R→R $q:\mathbb{R}\rightarrow\mathbb{R ...
Xinhe Zhu, Ziheng Zhang
doaj   +1 more source

A Note on Homoclinic Orbits for Second Order Hamiltonian Systems [PDF]

, 2014
In this paper, we study the existence for the homoclinic orbits for the second order Hamiltonian systems. Under suitable conditions on the potential $V$, we apply the direct method of variations and the Fourier analysis to prove the existence of ...
Li, Bingyu, Li, Fengying, Wu, Donglun, Zhang, Shiqing   +3 more
core  

Frequency spanning homoclinic families

, 2003
A family of maps or flows depending on a parameter $\nu$ which varies in an interval, spans a certain property if along the interval this property depends continuously on the parameter and achieves some asymptotic values along it. We consider families of
Arnold, Channon, Easton, Elskens, Gelfreich, Guckenheimer, Haberman, Henrard, Kaper, MacKay, Meiss, Meiss, Neishtadt, Neishtadt, Neı̆shtadt, Poincaré, Rom-Kedar, Rom-Kedar, Soto-Trevinõ, Tennyson, Treschev, Vered Rom-Kedar   +21 more
core   +1 more source

Large‐Signal Synchronisation Analysis of Phase‐Locked Loop‐Based Reactive Current Injection Under Weak Grids

IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.
1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv, Kunpeng Shen, Zhiyong Dai, Guangqi Li, Yongheng Yang, Guoqing Wang, Yue Wang, Jinlin Xiong   +7 more
wiley   +1 more source

Existence of Generalized Homoclinic Solutions of Lotka-Volterra System under a Small Perturbation

Journal of Function Spaces, 2016
This paper investigates Lotka-Volterra system under a small perturbation vxx=-μ(1-a2u-v)v+ϵf(ϵ,v,vx,u,ux), uxx=-(1-u-a1v)u+ϵg(ϵ,v,vx,u,ux). By the Fourier series expansion technique method, the fixed point theorem, the perturbation theorem, and the ...
Yuzhen Mi
doaj   +1 more source

Effects of Alumina–Tantalum Hybrid Nanofragment on Engine Oil Flow Using a New Local Thermal Nonequilibrium Formulation

Complexity, Volume 2025, Issue 1, 2025.
The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou, Thierno Mamadou Pathé Diallo, Mamadou Billo Doumbouya, Facinet Camara, Mariama Ciré Sylla, Famah Traoré, Hodévèwan Clément Miwadinou, Amoussou Laurent Hinvi, Adjimon Vincent Monwanou, Jesus Manuel Munoz-Pacheco   +9 more
wiley   +1 more source

Solitary Wave Solutions and Modulation Instability of First‐ and Second‐Order Benjamin–Ono Fluid Dynamics Models With Applications

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
The first‐ and second‐order wave equations of Benjamin–Ono control the propagation of nonlinear Rossby waves in a rotating fluid and define a broad class of internal waves in a stratified fluid of enormous depth. New solitary wave solutions and the modulation instability of the solutions for the first‐ and second‐order Benjamin–Ono partial differential
Wilson Osafo Apeanti, David Yaro, Saviour Worlanyo Akuamoah, Keshlan S. Govinder   +3 more
wiley   +1 more source

New Solutions of Breaking Soliton Equation Using Softmax Method

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study presents the application of a novel Softmax method to obtain exact analytical solutions of the breaking soliton equation, a nonlinear partial differential equation that models complex wave phenomena. By transforming the governing equation into an ordinary differential equation using a traveling wave transformation and constructing a solution
Nguyen Minh Tuan, Phayung Meesad, Nguyen Hong Son, Kannan Krithivasan   +3 more
wiley   +1 more source