Results 21 to 30 of about 85 (84)

The jump phenomenon associated with the dynamics of the duffing equation

Physics Open, 2020
The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
doaj   +1 more source

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

Advanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

Bifurcations of Periodic Solutions to Differential Equations and Multivalent Guiding Functions Method [PDF]

, 2016
In this paper, we define a new class of multivalent guiding functions called local multivalent guiding functions and use it to study the global bifurcation problem of periodic soluions to a parameterized differential equation.
Kornev, Sergei, Van Loi, Nguyen, Zecca, Pietro, Obukhovskii, Valeri   +3 more
core  

© Hindawi Publishing Corp. ON STABILITY AND BIFURCATION OF SOLUTIONS OF AN SEIR EPIDEMIC MODEL WITH VERTICAL TRANSMISSION [PDF]

, 2003
A four-dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced threedimensional epidemic model.
M. M. A. El-sheikh, S. A. A. El-marouf
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Multiple solutions of nonlinear boundary value problems for equations with critical points [PDF]

, 2005
. We consider first two the second order autonomous differential equations with critical points, which allow for detecting an exact number of solutions to the Dirichlet boundary value problem.
Ogorodnikova, Svetlana, Svetlana Ogorodnikova   +1 more
core  

Global periodic solutions in a plankton-fish interaction model with toxication delay

Nonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

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, Óscar I. Giraldo, Edwin Zarrazola   +2 more
doaj   +1 more source

Bifurcation analysis of a nonlinear diffusion model: Effect of evaluation period for the diffusion of a technology

Arab Journal of Mathematical Sciences, 2019
A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay).
Rakesh Kumar, Anuj Kumar Sharma, Kulbhushan Agnihotri   +2 more
doaj   +1 more source

Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems

Open Mathematics
Consider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Endemic oscillations for SARS-CoV-2 Omicron-A SIRS model analysis. [PDF]

Chaos Solitons Fractals, 2023
Nill F.
europepmc   +2 more sources