In this paper we present a method of constructing discrete nonlinear accelerator lattice that has an approximate integral motion is given upfront. The under consideration Hamiltonian in normalized (canonical) coordinates preserved by with accuracy. We establish connection between the integrator and real lens arrangement. consider as analog computer apply known algorithms high-order symplectic i...

A mathematical model of cerebral blood flow in the form a dynamical system is studied. The autoregulation modeling problem treated as nonlinear control and potential applicability theory techniques are analyzed this respect. It shown that hemodynamics question differentially flat. Then, integrator backstepping approach combined with barrier Lyapunov functions applied to construct laws recover p...

The Crank–Nicolson scheme as well as its modified schemes is widely used in numerical simulations for the nonlinear Schrödinger equation. In this paper, we prove the multisymplecticity and symplecticity of this scheme. Firstly, we reconstruct the scheme by the concatenating method and present the corresponding discrete multisymplectic conservation law. Based on the discrete variational principl...

This article investigates the power quality enhancement of a grid-tied photovoltaic (PV) distribution system by employing fuzzy logic proportional-integrator-derivative multiple complex coefficient filter second-order generalized integrator frequency-locked loop (FLPID-MCCF-MSOGI-FLL) hybrid control scheme based shunt active filter. The MSOGI-FLL reference current generation strategy is impleme...

After reviewing several physiological findings on oscillations in the electroencephalogram (EEG) and their possible explanations by dynamical modeling, we present neural networks consisting of leaky integrator units as an universal paradigm for neural and cognitive modeling. In contrast to standard recurrent neural networks, leaky integrator units are described by ordinary differential equation...

This paper represents a method to improve the SNR and linearity of an integrator by feedback compensation technique. The discussed design reduces signal swing while keeping advantages of both feed-forward as well as feedback topology without changing the signal transfer function. SNR and linearity are related to the output of an integrator. Reduced SNR and non-linearity resulted because of the ...

This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity-preserving particle discretization of the nonlinear Landau collision operator, extending works Carrillo et al. [J. Comput. Phys. 7, 100066 (2020)] Hirvijoki [Plasma Controlled Fusion 63, 044003 (2021)]. discrete-time...

We propose a novel class of uniformly accurate integrators for the Klein--Gordon equation which capture classical $c=1$ as well highly oscillatory nonrelativistic regimes $c\gg1$ and, at same time, allow low regularity approximations. In particular, schemes converge with order $\tau$ and $\tau^2$, respectively, under lower assumptions than schemes, such splitting or exponential integrator metho...