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On uniqueness of semi-wavefronts (Diekmann-Kaper theory of a nonlinear convolution equation re-visited)
semi-wavefronts Diekmann-Kaper theory
2010/11/22
Motivated by the uniqueness problem for monostable semi-wavefronts, we propose a revised version of the Diekmann and Kaper theory of a nonlinear convolution equation. Our version of the Diekmann-Kape...
Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann boundary condition
Stochastic viscosity solution stochastic PDIEs
2010/11/19
This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann boundary condition. Using the recently devel...
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
2010/11/19
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
A sufficient condition to test identifiability of a nonlinear delayed-differential model with constant delays and multi-inputs
Identifiability Nonlinear delayed-differential models
2010/12/1
In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given.
Influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system
nonlinear dissipation Lorenz-Haken system external perturbations
2010/4/2
We study an influence of nonlinear dissipation and external perturbations onto transition scenarious to chaos in Lorenz-Haken system. It will be show that varying in external potential parameters valu...
New Reductions and Nonlinear Systems for 2D Schrodinger Operators
Nonlinear Systems Dubrovin, I.Krichever, S.Novikov 2D Schrodinger Operators
2010/4/1
New Completely Integrable (2+1)-System is studied. It is based on the so-called L-A-B-triples $L_t=[H,L]-fL$ where L is a 2D Schrodinger Operator. This approach was invented by S.Manakov and B.Dubrovi...