Results 101 to 110 of about 5,108 (187)

Global bifurcation for monotone fronts of elliptic equations

, 2020
In this paper, we present two results on global continuation of monotone front-type solutions to elliptic PDEs posed on infinite cylinders. This is done under quite general assumptions, and in particular applies even to fully nonlinear equations as well ...
Chen, Robin Ming, Walsh, Samuel, Wheeler, Miles H.   +2 more
core  

Solitary, periodic, kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory

Propulsion and Power Research
In this paper, by using the bifurcation theory for dynamical system, we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlinearity.
Qiancheng Ouyang, Zaiyun Zhang, Qiong Wang, Wenjing Ling, Pengcheng Zou, Xinping Li   +5 more
doaj   +1 more source

Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System

Axioms
Aiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke, Jun Pan, Feiyu Hu, Haijun Wang   +3 more
doaj   +1 more source

Study of dynamical properties in a bi-dimensional model describing the prey–predator dynamics with strong Allee effect in prey.

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this work, we analyze a bi-dimensional differential equation system obtained by considering Holling type II functional response in prey–predator model with strong Allee effect in prey.
Partha Mandal, Aadil Lahrouz
doaj   +1 more source

Self-oscillations in an Alpha Stirling Engine: a bifurcation analysis

, 2019
We study a thermo-mechanical system comprised of an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establish a static relation between the flywheel's angle and the forces exerted by the two power ...
Castanos, Fernando, Gromov, Dmitry
core  

Stability and bifurcation analysis in a predator prey model involving additive Allee effect

Revista Integración
In this paper we study codimension 1 Hopf bifurcation for a two dimensional autonomous nonlinear ordinary differential equations system, modeling a predator-prey interaction with Holling type II functional response and additive Allee effect in the prey ...
Jocirei Dias Ferreira, Wilmer Libardo Molina Yepez, Jaime Tobar Muñoz   +2 more
doaj  

Non-Smooth Dynamics and Multiple Equilibria in a Cournt-Ramsey Model with Endogenous Markups [PDF]

We consider a Ramsey model with a continuum of Cournotian industries where free entry generates an endogenous markup. The model produces two different regimes, monopoly and oligopoly, resulting in non-smooth dynamics.
Huw Dixon, Luís Costa, Paulo Brito
core  

Heteroclinic networks for brain dynamics. [PDF]

Front Netw Physiol, 2023
Meyer-Ortmanns H.
europepmc   +1 more source

Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R3

Journal of Differential Equations
AbstractWe study the dynamics near a symmetric Hopf-zero (also known as saddle-node Hopf or fold-Hopf) bifurcation in a reversible vector field in R3, with involutory an reversing symmetry whose fixed point subspace is one-dimensional. We focus on the case in which the normal form for this bifurcation displays a degenerate family of heteroclinics ...
Lamb, Jeroen S.W., Teixeira, Marco-Antonio, Webster, Kevin N.   +2 more
openaire   +1 more source

Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel. [PDF]

Sci Rep, 2023
Hosham HA, Thabet EN, Abd-Alla AM, El-Kabeir SMM.   +3 more
europepmc   +1 more source