ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER
We study a model of the inhomogeneity growth in the Universe filled with a pressureless matter. The standard hydrodynamical equations for the cosmological perturbations in the comoving frame are treated taking into account all nonlinear terms.
V. I. Zhdanov, V. M. Sliusar
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Expectation propagation for large scale Bayesian inference of non-linear molecular networks from perturbation data. [PDF]
Inferring the structure of molecular networks from time series protein or gene expression data provides valuable information about the complex biological processes of the cell.
Zahra Narimani +4 more
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Double power series method for approximating cosmological perturbations [PDF]
We introduce a double power series method for finding approximate analytical solutions for systems of differential equations commonly found in cosmological perturbation theory.
Malik, Karim A., Wren, Andrew J.
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In this paper, we analytically study the two-dimensional unsteady irrotational flow of an ideal incompressible fluid in a half-plane whose boundary is assumed to be a linear sink.
Nikolay M. Zubarev
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Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation [PDF]
We consider state-dependent delay equations (SDDE) obtained by adding delays to a planar ordinary differential equation with a limit cycle. These situations appear in models of several physical processes, where small delay effects are added. Even if the delays are small, they are very singular perturbations since the natural phase space of an SDDE is ...
Jiaqi Yang +2 more
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A Ghost Perturbation Scheme to Solve Ordinary Differential Equations
Abstract We propose an algebraic method that finds a sequence of functions that exponentially approach the solution of any second-order ordinary differential equation (ODE) with any boundary conditions. We define an extended ODE (eODE) composed of a linear generic differential operator that depends on free parameters, p, plus an ϵ perturbation ...
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Symmetries of th-Order Approximate Stochastic Ordinary Differential Equations
Symmetries of th-order approximate stochastic ordinary differential equations (SODEs) are studied. The determining equations of these SODEs are derived in an Itô calculus context. These determining equations are not stochastic in nature.
E. Fredericks, F. M. Mahomed
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Classification of singular points in polarization field of CMB and eigenvectors of Stokes matrix [PDF]
Analysis of the singularities of the polarization field of CMB, where polarization is equal to zero, is presented. It is found that the classification of the singular points differs from the usual three types known in the ordinary differential equations.
A. D. Dolgov +14 more
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Perturbation theorems for ordinary differential equations
x’ =.f(4 4, (NJ x’ =“f@, 4 + g(4 4, (P) x’ =.f(4 4 + g(c 4 + h(t), (PI) where f(t, X) is continuous, satisfies a Lipschitz condition on some semicylinder, f(t, 0) = 0, and x = 0 is uniform asymptotically stable for (N). Let g(t, x) and h(t) be sufficiently smooth for local existence and uniqueness.
Strauss, Aaron, Yorke, James A
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On construction of the comparison function of program motion in probable statement
In the class of ordinary differential equations the following modification of the inverse problem of differential systems was previously considered: to construct both a set of systems of differential equations and a set of comparison functions for the ...
G.K. Vassilina, M.I. Tleubergenov
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