Lie symmetries, Painlevé analysis, and global dynamics for the temporal equation of radiating stars
Sign Up to like & getrecommendations! Published in 2022 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.8274
Abstract: We study the temporal equation of radiating stars by using three powerful methods for the analysis of nonlinear differential equations. Specifically, we investigate the global dynamics for the given master ordinary differential equation to understand… read more here.
Keywords: radiating stars; global dynamics; equation; equation radiating ... See more keywords
Global dynamics of an autoparametric beam structure
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3313-0
Abstract: Global dynamics of an autoparametric beam structure derived from a flexible L-shaped beam subjected to base excitation with one-to-two internal resonance and principal resonance are investigated. Hamilton’s principle is employed to obtain the nonlinear partial… read more here.
Keywords: dynamics autoparametric; beam; autoparametric beam; global dynamics ... See more keywords
Global dynamics of composite panels with free-layer damping treatment in subsonic flow
Sign Up to like & getrecommendations! Published in 2017 at "Composite Structures"
DOI: 10.1016/j.compstruct.2017.02.024
Abstract: Abstract Global dynamics of forcedly excited composite panels with free layer damping treatment in subsonic flow near the first-order critical velocity is investigated. Hamilton’s principle is implemented to derive the PDE of such fluid-structure interaction… read more here.
Keywords: composite panels; flow; layer damping; panels free ... See more keywords
Global dynamics of a harmonically excited oscillator with a play: Numerical studies
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2017.03.015
Abstract: Abstract In this paper a harmonically excited linear oscillator with a play is investigated. Direct numerical simulation and numerical continuation techniques were employed to study the system behaviour. To conduct the numerical analysis, the system… read more here.
Keywords: dynamics harmonically; system; harmonically excited; oscillator play ... See more keywords
Global dynamics of an infinite dimensional epidemic model with nonlocal state structures
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.06.036
Abstract: Abstract In this paper, we derive and analyze a state-structured epidemic model for infectious diseases in which the state structure is nonlocal. The state is a measure of infectivity of infected individuals or the intensity… read more here.
Keywords: state; nonlocal state; equilibrium; epidemic model ... See more keywords
Global dynamics of planar quasi-homogeneous differential systems
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2019.02.008
Abstract: In this paper we provide a new method to study global dynamics of planar quasi--homogeneous differential systems. We first prove that all planar quasi--homogeneous polynomial differential systems can be translated into homogeneous differential systems and… read more here.
Keywords: differential systems; quasi homogeneous; dynamics planar; global dynamics ... See more keywords
Global dynamics of a Lotka–Volterra system in ℝ3
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Nonlinear Mathematical Physics"
DOI: 10.1080/14029251.2020.1757240
Abstract: In this work we consider the Lotka–Volterra system in ℝ3 introduced recently in [7], and studied also in [8] and [14]. In the first two papers the authors mainly studied the integrability of this differential… read more here.
Keywords: system; lotka volterra; dynamics lotka; volterra system ... See more keywords
Parameter uncertainty and noise effects on the global dynamics of an electrically actuated microarch
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Micromechanics and Microengineering"
DOI: 10.1088/1361-6439/acceb0
Abstract: This work aims to study the effect of uncertainties and noise on the nonlinear global dynamics of a micro-electro-mechanical arch obtained from an imperfect microbeam under an axial load and electric excitation. An adaptative phase-space… read more here.
Keywords: noise; global dynamics; parameter uncertainty; space ... See more keywords
Global Dynamics of Pipes Conveying Pulsating Fluid in the Supercritical Regime
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied Mechanics"
DOI: 10.1142/s1758825117500296
Abstract: Global dynamics of supercritical pipes conveying pulsating fluid considering superharmonic resonance of the second mode with 1:2 internal resonance are investigated. The governing partial differential equations in the supercritical regime are obtained based on the… read more here.
Keywords: conveying pulsating; pipes conveying; pulsating fluid; supercritical regime ... See more keywords
The global dynamics of a discrete nonlinear hierarchical population system
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524519500220
Abstract: This paper is concerned with the global dynamics of a hierarchical population model, in which the fertility of an individual depends on the total number of higher-ranking members. We investigate the stability of equilibria, nonexistence… read more here.
Keywords: population; discrete nonlinear; global dynamics; dynamics discrete ... See more keywords
Global dynamics of a model of hepatitis B virus infection in a sub-Saharan African rural area
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524520500540
Abstract: We formulate and systematically study a deterministic compartmental model of Hepatitis B. This model has some important and novel features compared with the well-known basic model in the literature... read more here.
Keywords: dynamics model; model hepatitis; model; hepatitis virus ... See more keywords