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Browsing Theses and Dissertations by Title

Browsing Theses and Dissertations by Title

Now showing items 1-10 of 10

Convergence Rate of Fourier Neural Networks

Zhumekenov, Abylay (Nazarbayev University School of Science and Technology, 2019-04-26)

The paper investigates a convergence rate for 2-layer feedforward Fourier Neural Network (FNN). Such networks are motivated by the approximation properties of wellknown Fourier series. Several implementations of FNNs ...
The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators

Zholmaganbetova, Aigerim (Nazarbayev University School of Science and Technology, 2019-05-29)

Many problems in theoretical physics are expressed in the form of Hamiltonian systems. Among these the first to be extensively studied were low-dimensional, possessing as few as two (or three) degrees of freedom. In the ...
Experimental study of Pac-Man conditions for learn-ability of discrete linear dynamical systems

Damiyev, Zhaksybek (Nazarbayev University School of Science and Technology, 2019-05-01)

In this work, we are going to reconstruct parameters of a discrete dynamical system with a hidden layer, given by a quadruple of matrices (𝐴,𝐵,𝐶,𝐷), from system’s past behaviour. First, we reproduced experimentally ...
Explorations on chaotic behaviors of Recurrent Neural Networks

Myrzakhmetov, Bagdat (Nazarbayev University School of Science and Technology, 2019-04-29)

In this thesis work we analyzed the dynamics of the Recurrent Neural Network architectures. We explored the chaotic nature of state-of-the-art Recurrent Neural Networks: Vanilla Recurrent Network, Recurrent Highway ...
Global stability analysis for a tick-borne model

Azamat, Daiana (Nazarbayev University School of Science and Technology, 2019-05-06)

This thesis consider three type of epidemiological models: SIR, SIS and SIRS with nonlinear incidence rate and piecewise constant delay of generalized type. In this paper the total population size is varied with time elapse. ...
The lumped model parameters approach for static and dynamic power-law beam problems

Begzhigitov, Madi (Nazarbayev University School of Science and Technology, 2019-04-29)

It is important to estimate the natural frequencies of the structural elements in the design of mechanical or electromechanical structures. There is a wide use of single lumped-parameter spring-mass models in the industry ...
Multigrid method for Mild-Slope equation in Coastal Wave Modelling

Tabarek, Rysbergen (Nazarbayev University School of Science and Technology, 2019-04-19)

In this thesis we propose and study an efficient iterative multigrid method for the time independent modified mild slope equation with and without energy dissipation term. The algorithm relies on a multigrid method ...
Numerical computations of complexification of Legendrian knots

Yerzhigit, Bauyrzhan (Nazarbayev University School of Science and Technology, 2019-04-29)

With the recent interest in knots, it is interesting to study their complexification. We have chosen to study Legendrian knots as they have the property that we can reconstruct the original knot from its projection. This ...
Pulse vaccination of a time-delayed SIRS epidemic model with nonlinear incidence rate

Yeleussinova, Meruyert (Nazarbayev University School of Science and Technology, 2019-05-03)

This work deals with an application of pulse vaccination for a varying size of the population of time-delayed 𝑆𝐼𝑅𝑆 epidemic model. The dynamics of the infectious disease depends on the threshold value, 𝑅0, known as ...
Synchronization of Coupled Nonlinear Oscillators with Applications to Photonic Arrays

Zharas, Banu (Nazarbayev University School of Science and Technology, 2019-05-01)

In recent years, the study of synchronization of coupled oscillators have been the subject of intense research interest, leading to many new and unexpected phenomena. Our research is first focused on the analysis of a ...