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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Dynamic transcritical bifurcations in a class of slow–fast predator–prey models
Hafida Boudjellaba,Tewfik Sari +1 more
TL;DR: In this article, the stability loss delay phenomenon in a dynamic transcritical bifurcation in a class of three-dimensional prey and predator systems is studied. But the dynamics of the predator is assumed to be slow comparatively to the dynamics in the prey.
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The microlocal Landau-Zener formula
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Beyond the Fokker-Planck equation: pathwise control of noisy bistable systems
Nils Berglund,Barbara Gentz +1 more
TL;DR: In this paper, the authors introduce a new method, allowing one to describe slowly time-dependent Langevin equations through the behaviour of individual paths, which yields considerably more information than the computation of the probability density.
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Memory Effects and Scaling Laws in Slowly Driven Systems
Nils Berglund,Hervé Kunz +1 more
TL;DR: In this article, the authors deal with dynamical systems depending on a slowly varying parameter and present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems.
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The synthesis of complete seismograms in an earth model specified by radially inhomogeneous layers
TL;DR: In this paper, the authors proposed a method to describe the earth model with planar homogeneous layers in the high frequency band (0.2 to 10 Hz) by uniformly asymptotic solutions to the depth eigenfunctions.