Yu.A. Kuznetsov

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(2005). Two-parameter nonsmooth grazing bifurcations of limit cycles: classification and open problems. General rights This document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: Explore Bristol Research is a digital archive and the intention is(More)
We present new or improved methods to continue heteroclinic and homoclinic orbits to fixed points in iterated maps and to compute their fold bifurcation curves, corresponding to the tangency of the invariant manifolds. The proposed methods are applicable to general n-dimensional maps and are implemented in matlab. They are based on the continuation of(More)
In this paper we extend the Gaussian self–consistent method to permit study of the equilibrium and kinetics of conformational transitions for heteropolymers with any given primary sequence. The kinetic equations earlier derived by us are transformed to a form containing only the mean squared distances between pairs of monomers. These equations are further(More)
— Using the Gaussian Ansatz for the monomer–monomer correlation functions we derive a set of the self–consistent equations for determination of the conformational state in the bead–and–spring copolymer model. The latter is based on the Edwards type effective free energy functional with arbitrary two–body interaction matrix. The rate of conformational(More)
We demonstrate that classical quadratic forms are not able to solve the problem of recognizing high-dimensional images. The “deep” Galushkin-Hinton neural networks can solve the problem of high-dimensional image recognition, but their training has exponential computational complexity. It is technically impossible to train and retrain a(More)
— In this paper we present a method to study the folding structure of a simple model consisting of two kinds of monomers, hydrophobic and hydrophilic. This method has three main steps: an efficient simulation method to bring an open sequence of homopolymer to a folded state, the application of a painting method called regular hull to the folded globule and(More)
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