Results 31 to 40 of about 11,648 (307)
Van der Pol Equation with a Large Feedback Delay
Mathematics, 2023 The well-known Van der Pol equation with delayed feedback is considered. It is assumed that the delay factor is large enough. In the study of the dynamics, the critical cases in the problem of the stability of the zero equilibrium state are identified ...
Sergey Kashchenko
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Singular Perturbation of Nonlinear Systems with Regular Singularity [PDF]
Discrete Dynamics in Nature and Society, 2018 We extend Balser-Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′=Fε,z,f with F a Cν-valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +1 more
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Singular Perturbations for Implicit port-Hamiltonian systems [PDF]
, 2023 In this work, we present the standard Singular Perturbations technique applied to Implicit port-Hamiltonian systems. The investigation produces a structure-preserving reduced-order model if certain additional passivity conditions are satisfied. Moreover,
Maschke, Bernhard +2 more
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Quasinormal forms for systems of two equations with large delay [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаA system of two equations with delay is considered. The purpose of this work is to study the local dynamics of this system under the assumption that the delay parameter is sufficiently large.
Kashchenko, Sergej Aleksandrovich +1 more
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Rotating Singular Perturbations of the Laplacian [PDF]
Annales Henri Poincaré, 2004 Minor changes, to appear in Ann. H.
Correggi Michele +1 more
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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Sensors, 2017 Singular Perturbations represent an advantageous theory to deal with systems characterized by a two-time scale separation, such as the longitudinal dynamics of aircraft which are called phugoid and short period.
Paolo Castaldi +2 more
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Singular Finsler Double Phase Problems with Nonlinear Boundary Condition
Advanced Nonlinear Studies, 2021 In this paper, we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary.
Farkas Csaba +2 more
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AN INTRODUCTION TO SINGULAR PERTURBATIONS
Natural Resource Modeling, 2000 ABSTRACT. In this article we discuss the asymptotic analysis of so‐called singularly perturbed differential equations. We begin by discussing some very simple nonmathematical examples, and then proceed to two mathematical examples, namely, the well‐known example of Friedrichs and a problem of John Mahony's.
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