The Experts below are selected from a list of 267 Experts worldwide ranked by ideXlab platform
O. M. Kiselev - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Behaviour of measure for captured trajectories into parametric autoresonance
Nonlinear Dynamics, 2017Co-Authors: O. M. KiselevAbstract:We study an Asymptotic Behaviour of parametric autoresonance for nonlinear equation. Main result of this work is statement about Asymptotic Behaviour of measure for captured trajectories. We show that the measure is bounded for infinite time interval. To find this, we obtain an Asymptotic expansion for capture and Asymptotic Behaviour of split separatrices for intermediate small amplitudes. In this study, we have used two scaling method for studying the interval of capture. We reduce the problem to equation which defines the separatrix splitting and apply Melnikov’s theory to define the splitting of the separatrices. The obtained result shows important difference between parametric and nonparametric autoresonance, because the measure for captured trajectories for nonparametric autoresonance is not bounded.
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Asymptotic Behaviour of measure for captured trajectories into parametric autoresonance
arXiv: Dynamical Systems, 2016Co-Authors: O. M. KiselevAbstract:We study an Asymptotic Behaviour of parametric autoresonance for non-linear equation. Main result of this work is statement about Asymptotic Behaviour of measure for captured trajectories. To find this we obtain an Asymptotic expansion for capture and Asymptotic Behaviour of splitted separatrices for intermediate small amplitudes.
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Asymptotic Behaviour of a solution for Kadomtsev-Petviashvili-2 equation
arXiv: Mathematical Physics, 2000Co-Authors: O. M. KiselevAbstract:An Asymptotic Behaviour of solution of Kadomtsev-Petviashvili-2 equation is obtained as $t\to\infty$ uniformly with respect to spatial variables.
Mircea Ivan - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Behaviour of the Iterates of Positive Linear Operators
Abstract and Applied Analysis, 2011Co-Authors: Ioan Gavrea, Mircea IvanAbstract:We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set. As applications, we deduce the Asymptotic Behaviour of the iterates of almost all classic and new positive linear operators.
Ramón Quintanilla - One of the best experts on this subject based on the ideXlab platform.
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Existence, uniqueness and Asymptotic Behaviour of solutions to the equations of viscoelasticity with voids☆
International Journal of Solids and Structures, 1998Co-Authors: F. Martínez, Ramón QuintanillaAbstract:Abstract This paper is concerned with the linear theroy of viscoelastic materials with voids. We study uniqueness, existence and Asymptotic Behaviour for the solutions of the dynamical problem. The uniqueness theorem is obtained by means of the power type function method. We use the semigroup theory of linear operators to obtain existence and continuous dependence of solutions. In the last section, we study the Asymptotic Behaviour of solutions.
Ioan Gavrea - One of the best experts on this subject based on the ideXlab platform.
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Asymptotic Behaviour of the Iterates of Positive Linear Operators
Abstract and Applied Analysis, 2011Co-Authors: Ioan Gavrea, Mircea IvanAbstract:We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set. As applications, we deduce the Asymptotic Behaviour of the iterates of almost all classic and new positive linear operators.
E Levin - One of the best experts on this subject based on the ideXlab platform.
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The Iancu–Mueller factorization and high energy Asymptotic Behaviour
Nuclear Physics, 2004Co-Authors: Michael M. Kozlov, E LevinAbstract:Abstract We show that the Iancu–Mueller factorization has a simple interpretation in the Reggeon-like technique based on the BFKL Pomeron. The formula for calculating the high energy Asymptotic Behaviour for the colour dipole–dipole amplitude is proposed which suggests a procedure to calculate this amplitude through the solution to the Balitsky–Kovchegov non-linear equation. We confirm the Iancu–Mueller result that a specific set of enhanced diagrams is responsible for the high energy Behaviour for fixed QCD coupling. However, it is argued that in the case of running QCD coupling, this Asymptotic Behaviour originates from the Balitsky–Kovchegov non-linear equation. A new solution to the non-linear equation is found which leads to a different Asymptotic Behaviour of the scattering amplitude even for fixed α S .
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The Iancu–Mueller factorization and high energy Asymptotic Behaviour
Nuclear Physics A, 2004Co-Authors: M Kozlov, E LevinAbstract:We show that the Iancu-Mueller factorization has a simple interpretation in the Reggeon - like technique based on the BFKL Pomeron. The formula for calculating the high energy Asymptotic Behaviour for the colour dipole-dipole amplitude is proposed which suggests a procedure to calculate this amplitude through the solution to the Balitsky-Kovchegov non-linear equation. We confirm the Iancu - Mueller result that a specific set of enhanced diagrams is responsible for the high energy Behaviour for fixed QCD coupling. However, it is argued that in the case of running QCD coupling, this Asymptotic Behaviour originates from the Balitsky-Kovchegov non-linear equation. A new solution to the non-linear equation is found which leads to a different Asymptotic Behaviour of the scattering amplitude even for fixed QCD coupling..Comment: 27 pages, 9 figuure
