Results 101 to 110 of about 6,100 (243)

Bifurcation diagrams for singularly perturbed system: the multi-dimensional case.

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We consider a singularly perturbed system where the fast dynamics of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system admits a unique critical point, which undergoes a bifurcation as a ...
Matteo Franca
doaj   +1 more source

Dynamics on semi-discrete Mackey-Glass model

AIMS Mathematics
Red blood cells play an extremely important role in human metabolism, and the study of hematopoietic models is of great significance in biology and medicine.
Yulong Li, Long Zhou, Fengjie Geng
doaj   +1 more source

The dynamics of a simple Laissez-Faire model with two predators

Mathematical Biosciences and Engineering, 2008
In this paper, we study the dynamics of a laissez-faire predator--prey model with both a specialist and a generalist predator. We analyze the stabilities of equilibria by performing linearized stability analyses.
Gunog Seo, Mark Kot
doaj   +1 more source

Bifurcations of stagnation points in a micropolar fluent media under the influence of an asymmetric peristaltic movement

AIP Advances, 2020
In the present analysis, the effects of an asymmetric peristaltic movement on the bifurcations of stagnation points have been investigated. An exact analytic solution for a flow of an incompressible micropolar fluid has been established under long ...
Nasir Ali, Kaleem Ullah
doaj   +1 more source

Nonlinear Dynamics of the Rock-Paper-Scissors Game with Mutations

, 2015
We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation ...
Strogatz, Steven H., Toupo, Danielle F. P.   +1 more
core   +1 more source

Bifurcation characteristics and safe basin of MSMA microgripper subjected to stochastic excitation

AIP Advances, 2015
A kind of magnetic shape memory alloy (MSMA) microgripper is proposed in this paper, and its nonlinear dynamic characteristics are studied when the stochastic perturbation is considered.
Z. W. Zhu, X. M. Li, J. Xu
doaj   +1 more source

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

Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide

Shock and Vibration, 2019
In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang, Feng Gao, Yan Li, Han Zhang   +3 more
doaj   +1 more source

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  

Elements of Applied Bifurcation Theory

Applied Mathematical Sciences, 2023
Y. Kuznetsov
semanticscholar   +1 more source