Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models [PDF]
ESAIM: Proceedings and Surveys, 2020 In this study, we describe different modeling approaches for ovarian follicle population dynamics, based on either ordinary (ODE), partial (PDE) or stochastic (SDE) differential equations, and accounting for interactions between follicles.
Bonnet Celine +4 more
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Transporting non-Gaussianity from sub to super-horizon scales
, 2013 We extend the `moment transport method' for calculating the statistics of inflationary perturbations to the quantum phase of evolution on sub-horizon scales.
Mulryne, David J.
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Perturbative evolution of the static configurations, quasinormal modes and quasi normal ringing in the Apostolatos - Thorne cylindrical shell model [PDF]
, 2013 We study the perturbative evolution of the static configurations, quasinormal modes and quasi normal ringing in the Apostolatos - Thorne cylindrical shell model.
Marcos A Ramirez +2 more
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Features of Oscillations in Adiabatic Oscillators with Delay
Моделирование и анализ информационных систем, 2013 In this paper, we describe the features of oscillations in adiabatic oscillators when the delay is introduced into the equation. We give a short description of the method of asymptotic integration of one class of linear delay differential systems in the ...
P. N. Nesterov, E. N. Agafonchikov
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Variational Approach to the Modulational Instability
, 2004 We study the modulational stability of the nonlinear Schr\"odinger equation (NLS) using a time-dependent variational approach. Within this framework, we derive ordinary differential equations (ODEs) for the time evolution of the amplitude and phase of ...
A. Hasegawa +35 more
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Coordinate-independent singular perturbation reduction for systems with three time scales
, 2019 On the basis of recent work by Cardin and Teixeira on ordinary differential equations with more than two time scales, we devise a coordinate-independent reduction for systems with three time scales; thus no a priori separation of variables into fast ...
Kruff, Niclas, Walcher, Sebastian
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Generalized nonuniform dichotomies and local stable manifolds
, 2013 We establish the existence of local stable manifolds for semiflows generated by nonlinear perturbations of nonautonomous ordinary linear differential equations in Banach spaces, assuming the existence of a general type of nonuniform dichotomy for the ...
AJG Bento +10 more
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Newtonian Analysis of Gravitational Waves from Naked Singularity [PDF]
, 2000 Spherical dust collapse generally forms a shell focusing naked singularity at the symmetric center. This naked singularity is massless. Further the Newtonian gravitational potential and speed of the dust fluid elements are everywhere much smaller than ...
A. Ori +34 more
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Perturbations of nonlinear systems of ordinary differential equations
Journal of Mathematical Analysis and Applications, 1984 Along with the n dimensional system (1) \(y'=f(t,y)\) the perturbed system (2) \(x'=f(t,x)+g(t,x)\) is considered. Certain refined assumptions are made about estimates of the fundamental matrix solution of the variational system with respect to a solution of system (1), and about g. (The function g need not be ''small'', it may be sublinear or linear.)
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Asymptotic analysis of singularly perturbed systems of ordinary differential equations
Computers & Mathematics with Applications, 1991 Untersucht wird ein singulär gestörtes System gewöhnlicher Differentialgleichungen erster Ordnung. Unter umfangreichen und schwer verifizierbaren Voraussetzungen wird für ein solches System ein Lösungsalgorithmus für das Cauchyproblem präsentiert.
Mika, Janus R., Palczewski, Andrzej
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