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   Articles with "global dynamics" as a keyword



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Lie symmetries, Painlevé analysis, and global dynamics for the temporal equation of radiating stars

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recommendations! 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 isothermal rarefied gas flows in an infinite layer

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recommendations! Published in 2024 at "Mathematische Annalen"

DOI: 10.1007/s00208-025-03270-y

Abstract: Let rarefied gas be confined in an infinite layer with diffusely reflecting boundaries that are isothermal and non-moving. The initial-boundary value problem on the nonlinear Boltzmann equation governing the rarefied gas flow in such setting… read more here.

Keywords: infinite layer; gas flows; global dynamics; rarefied gas ... See more keywords

Global dynamics of an autoparametric beam structure

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recommendations! 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

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recommendations! 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
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Global dynamics of a harmonically excited oscillator with a play: Numerical studies

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recommendations! 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

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recommendations! 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

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recommendations! 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 three-species mutualist and competitor model with seasonal succession

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recommendations! Published in 2025 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2025.2466476

Abstract: In this paper, we focus on the global dynamics of the Poincaré map for a three-species mutualist and competitor model with seasonal succession. It is proved that there exists a globally asymptotically stable fixed point… read more here.

Keywords: global dynamics; fixed point; point; species mutualist ... See more keywords
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Global dynamics of a Lotka–Volterra system in ℝ3

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recommendations! 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

Global dynamics of discrete mathematical models of tuberculosis

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recommendations! Published in 2024 at "Journal of Biological Dynamics"

DOI: 10.1080/17513758.2024.2323724

Abstract: In this paper, we develop discrete models of Tuberculosis (TB). This includes SEI endogenous and exogenous models without treatment. These models are then extended to a SEIT model with treatment. We develop two types of… read more here.

Keywords: global dynamics; tuberculosis; models tuberculosis; mathcal mathcal ... See more keywords

Parameter uncertainty and noise effects on the global dynamics of an electrically actuated microarch

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recommendations! 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