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Convergence of normal form transformations: The role of symmetries [PDF]
, 2013 We discuss the convergence problem for coordinate transformations which take a given vector field into Poincar\'e-Dulac normal form. We show that the presence of linear or nonlinear Lie point symmetries can guaranteee convergence of these normalizing ...
Giampaolo Cicogna, Sebastian Walcher
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Normal form of formulas of pure hybrid logic
Lietuvos Matematikos Rinkinys, 2021 In this paper,we study a transformationof pure hybrid logic formulae,which do not have binding operator, into an equivalent normal form, which does not have any satisfiability operators in the scope of another satisfiability operator.
Daiva Aleknavičiūtė +1 more
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Stability and bifurcation analysis of SIQR for the COVID-19 epidemic model with time delay
Mathematical Biosciences and Engineering, 2021 Based on the SIQR model, we consider the influence of time delay from infection to isolation and present a delayed differential equation (DDE) according to the characteristics of the COVID-19 epidemic phenomenon.
Shishi Wang +3 more
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Mathematical Biosciences and Engineering, 2023 Since the outbreak of COVID-19, there has been widespread concern in the community, especially on the recent heated debate about when to get the booster vaccination.
Zimeng Lv, Xinyu Liu , Yuting Ding
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Dynamic Analysis of a COVID-19 Vaccination Model with a Positive Feedback Mechanism and Time-Delay
Mathematics, 2022 As the novel coronavirus pandemic has spread globally since 2019, most countries in the world are conducting vaccination campaigns. First, based on the traditional SIR infectious disease model, we introduce a positive feedback mechanism associated with ...
Xin Ai, Xinyu Liu, Yuting Ding, Han Li
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Dynamical Behaviors of an SIR Epidemic Model with Discrete Time
Fractal and Fractional, 2022 Analytically and numerically, the study examines the stability and local bifurcations of a discrete-time SIR epidemic model. For this model, a number of bifurcations are studied, including the transcritical, flip bifurcations, Neimark–Sacker bifurcations,
Bo Li +2 more
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Smith Normal Form in Combinatorics [PDF]
, 2015 This paper surveys some combinatorial aspects of Smith normal form, and more generally, diagonal form. The discussion includes general algebraic properties and interpretations of Smith normal form, critical groups of graphs, and Smith normal form of ...
Stanley, Richard P.
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Dynamics and Bifurcations of a Discrete-Time Moran-Ricker Model with a Time Delay
Mathematics, 2023 This study investigates the dynamics of limited homogeneous populations based on the Moran-Ricker model with time delay. The delay in density dependence caused the preceding generation to consume fewer resources, leading to a decrease in the required ...
Bo Li, Zimeng Yuan, Zohreh Eskandari
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Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance
Networks and Heterogeneous Media, 2012 Oscillatory dynamics in a reaction-diffusion system with spatially nonlocal effectunder Neumann boundary conditions is studied.The system provides triply degenerate points for two spatially non-uniform modes anduniform one (zero mode).We focus our ...
Toshiyuki Ogawa, Takashi Okuda
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Constructing Involutive Tableaux with Guillemin Normal Form [PDF]
, 2015 Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-K\"ahler theorem. Guillemin normal form establishes that the prolonged symbol of
Smith, Abraham D.
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