A5080676055- Nonlinear Photonic Systems
- Nonlinear Waves and Solitons
- Quantum chaos and dynamical systems
- Nonlinear Dynamics and Pattern Formation
- Advanced Mathematical Physics Problems
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Aquatic and Environmental Studies
- Advanced Differential Equations and Dynamical Systems
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Modeling in Engineering
- Fluid Dynamics and Turbulent Flows
- Nuclear Physics and Applications
- Fluid Dynamics Simulations and Interactions
- Nuclear physics research studies
- Advanced Fiber Laser Technologies
- Fluid dynamics and aerodynamics studies
- Laser Design and Applications
- Gas Dynamics and Kinetic Theory
- Particle Dynamics in Fluid Flows
- Elasticity and Wave Propagation
- Control and Dynamics of Mobile Robots
- Plasma Applications and Diagnostics
- Cavitation Phenomena in Pumps
- Engineering and Agricultural Innovations
Institute of Mathematics with Computer Center
2009-2021
Computing Center
2016-2021
Innopolis University
2021
Peoples' Friendship University of Russia
2021
The Wojciech Kętrzyński Northern Institute
2018
Computational Physics (United States)
2017
Chinese Academy of Sciences
2017
Academy of Mathematics and Systems Science
2017
Nanjing Normal University
2017
South China University of Technology
2017
In this work, we present a rigorous accuracy analysis of the quantum Fourier transform (QFT), that identifies three natural sources degeneracy: (i) discretization inherited from classical sampling theory, (ii) degeneracy due to limited resolution in eigenvalue (phase) estimation, and (iii) resulting finite resources. We formalize these degradation by proving two theorems relate minimal amplitude number qubits. addition, describe gate-level implementation QFT simulation results on small-scale...
We construct an asymptotic solution of the primary resonance equation iεU'+(|U|2−t)U = 1, 0<ε<<1. The constructed has a special behaviour. This varies slowly when t>t* and oscillates fast t<t*. constant t* defines value t saddle–centre bifurcation takes place. in thin layer close to is studied detail by matching method.
A solution of the nonlinear Klein--Gordon equation perturbed by a small external force is investigated. The frequency perturbation varies slowly and passes through resonance. resonance generates solitary packets waves. full asymptotic description this process presented.
We investigate a propagation of solitons for nonlinear Schrödinger equation under small driving force. The force passes through the resonance. process scattering on resonance leads to changing number solitons. After depends amplitude
A special asymptotic solution of the Painlevé-2 equation with small parameter is stdied. This has a critical point t corresponding to bifurcation phenomenon. When oscillates very fast. We investigate transitional layer in detail and obtain smooth solution, using sequence scaling matching procedures.
We study the autoresonant solution of Duffing's equation in presence dissipation.This is proved to be an attracting set.We evaluate maximal amplitude and time transition from growth mode fast oscillations.Analytical results are illustrated by numerical simulations.
Basis functions associated with the two-component hyperbolic Dirac equation were obtained. The expansion via basis separates time and spatial variables in a linearized Davey–Stewartson I equation. It is possible to solve this by Fourier method.
We consider a solution of the nonlinear Klein–Gordon equation perturbed by parametric driver. The frequency perturbation varies slowly and passes through resonant value, which leads to change. obtain new connection formula for asymptotic before after resonance.
The subject of this paper is solutions an autoresonance equation. We look for a connection between the parameters solution bounded as t →−∞, and two two-parameter families → ∞. One family consists which are not captured into resonance, another those increasing resonance. In way we describe transition through separatrix equations with slowly varying get estimate before resonance may be autoresonance.
The previously-unknown nucleus 20Al has been observed for the first time by detecting its in-flight decays. Tracking trajectories of all decay products with silicon micro-strip detectors allowed a conclusion that is unbound respect to three-proton (3p) emission. 3p-decay energy ground state determined be 1.93(+0.11,-0.09) MeV through detailed study angular correlations products, 17Ne+p+p+p. This value much smaller in comparison predictions inferred from isospin symmetry using known mirror...
We study the asymptotic behavior of nonlinear oscillators under an external driver with slowly changing frequency and amplitude.As a result, we obtain formulas for properties amplitude when autoresonant oscillator is observed.Also, find measure behaviors such driven oscillator.