Bred vectors are a type of finite perturbation used in prediction studies of atmospheric models that exhibit spatially extended chaos. We study the structure, spatial correlations, and the growth rates of logarithmic bred vectors (which are constructed by using a given norm). We find that, after a suitable transformation, logarithmic bred vectors are roughly piecewise copies of the leading Lyap...

This article investigated the effects of driving and jet parameters on deformation characteristics droplet generated by a Rayleigh breakup for first time. The include its oscillation amplitude period. are dimensionless wavenumber initial perturbation. non-dimensionalized as Ohnesorge number. non-dimensional Navier–Stokes equations were numerically solved to simulate spatial instability obtain c...

A non-self-adjoint, rank-one Friedrichs model operator in L2(R) is considered in the case where the determinant of perturbation is an outer function in the half-planes C±. Its spectral structure is investigated. The impact of the linear resolvent growth condition on its spectral properties (including the similarity problem) is studied.

The fungal pathogen Cryptococcus neoformans regulates its polysaccharide capsule depending on environmental stimuli. To investigate whether capsule polymers change under different growth conditions, we analyzed shed capsules at physiological concentrations without physical perturbation. Our results indicate that regulation of capsule size is mediated at the level of individual polysaccharide mo...

Abstract. We prove a uniform Poincaré inequality for non–interacting unbounded spin systems with a conservation law, when the single–site potential is a bounded perturbation of a convex function with polynomial growth at infinity. The result is then applied to Ginzburg-Landau processes to show diffusive scaling of the associated spectral gap. 2000 MSC: 60K35

A variational method is used to obtain the growth rate of a transverse long-wavelength perturbation applied to the soliton solution of a nonlinear Schrödinger equation with a three-half order potential. We demonstrate numerically that this unstable perturbed soliton will eventually transform into a cylindrical soliton. Keywords—soliton, instability, variational method, spectral method

We compute the static self-energy of SU(3) gauge theory in four spacetime dimensions to order α20 in the strong coupling constant α. We employ lattice regularization to enable a numerical simulation within the framework of stochastic perturbation theory. We find perfect agreement with the factorial growth of high order coefficients predicted by the conjectured renormalon picture based on the op...

We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel. The approaches used in this paper are geometric singular perturbation theory and the center manifold theorem.

Preserving privacy while publishing social network data has become a serious issue with the rapid growth of Social Networks. In this work, we propose a perturbation based approach for privacy preserving publication of social network graphs and evaluate the utility aspect of our proposed method using real world dataset.