Stratified discontinuous differential equations and sufficient conditions for robustness [PDF]
, 2015 International audienceThis paper is concerned with state-constrained discontinuous ordinary differential equations for which the corresponding vector field has a set of singularities that forms a stratification of the state domain. Existence of solutions
Hermosilla, Cristopher
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Geometric optics and instability for semi-classical Schrodinger equations
, 2005 We prove some instability phenomena for semi-classical (linear or) nonlinear Schrodinger equations. For some perturbations of the data, we show that for very small times, we can neglect the Laplacian, and the mechanism is the same as for the ...
A. Majda +25 more
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Slowly varying oscillators [PDF]
, 1985 We develop a Melnikov type perturbation method for detecting periodic and homoclinic orbits and codimension one bifurcations in a class of third order nonlinear ordinary differential equations.
Holmes, Philip, Wiggins, Stephen
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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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Stability Analysis of New Solutions of the EYM system with Cosmological Constant [PDF]
, 1996 We analyze the stability properties of the purely magnetic, static solutions to the Einstein--Yang--Mills equations with cosmological constant. It is shown that all three classes of solutions found in a recent study are unstable under spherical ...
G. Lavrelashvili +4 more
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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
doaj +3 more sources
On expansions for nonlinear systems Error estimates and convergence issues
Comptes Rendus. Mathématique, 2023 Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting.
Beauchard, Karine +2 more
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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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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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