Results 41 to 50 of about 130 (112)
A model of competing species that exhibits zip bifurcation
Revista Integración, 2017 The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
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Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
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A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
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International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
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Boundary Value Problems, 2011 This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
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Friedmann equations as n-dimensional dynamical system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we study dynamics of the standard cosmological model of the universe assuming that it is filled with n types of non-interacting barotropic perfect fluids.
Branković Danijela
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On the existence of new integrable cases for Euler-Poisson equations in Newtonian fields
Alexandria Engineering Journal, 2019 In this article, the rotational motion of a non-symmetric rigid body about a fixed point under the action of multi-Newtonian centers located on one fixed axis is considered.
Mohamed El-Borhamy
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Normal forms of piecewise-smooth monodromic systems
Advances in Nonlinear AnalysisNormal form is an important tool in the study of bifurcations but, unlike those for smooth differential systems, normal forms for piecewise-smooth systems have difficulty with the near-identity transformation, which is constructed piecewise but needs to ...
Li Jiahao, Chen Xingwu, Zhang Weinian
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Dynamics of particulate emissions in the presence of autonomous vehicles
Open MathematicsAround one third of CO2{{\rm{CO}}}_{2} emissions in the atmosphere are linked to vehicular traffic. Pollutant agents have an impact on the environment, in particular, the increased presence of particulate matter (PM) creates negative effects on human ...
Briani Maya +3 more
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Dynamic ecological system measures
Results in Applied Mathematics, 2019 The system decomposition theory has recently been developed for the dynamic analysis of nonlinear compartmental systems. The application of this theory to the ecosystem analysis has also been introduced in a separate article.
Huseyin Coskun
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