A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

Chaotic communication system with symmetry-based modulation

T Karimov, V Rybin, G Kolev, E Rodionova, D Butusov - Applied Sciences, 2021 - mdpi.com
Communication systems based on chaotic synchronization are gaining interest in the area of
secure and covert data transmission. In this paper, a novel digital communication technique …

Magnetic Flux Sensor Based on Spiking Neurons with Josephson Junctions

T Karimov, V Ostrovskii, V Rybin, O Druzhina, G Kolev… - Sensors, 2024 - mdpi.com
Josephson junctions (JJs) are superconductor-based devices used to build highly sensitive
magnetic flux sensors called superconducting quantum interference devices (SQUIDs) …

Semi-implicit and semi-explicit Adams-Bashforth-Moulton methods

A Tutueva, T Karimov, D Butusov - Mathematics, 2020 - mdpi.com
Multistep integration methods are widespread in the simulation of high-dimensional
dynamical systems due to their low computational costs. However, the stability of these …

New step size control algorithm for semi-implicit composition ODE solvers

P Fedoseev, D Pesterev, A Karimov, D Butusov - Algorithms, 2022 - mdpi.com
Composition is a powerful and simple approach for obtaining numerical integration methods
of high accuracy order while preserving the geometric properties of a basic integrator …

Discrete competitive Lotka–Volterra model with controllable phase volume

A Voroshilova, J Wafubwa - Systems, 2020 - mdpi.com
The simulation of population dynamics and social processes is of great interest in nonlinear
systems. Recently, many scholars have paid attention to the possible applications of …

Stability analysis and optimization of semi-explicit predictor–corrector methods

A Tutueva, D Butusov - Mathematics, 2021 - mdpi.com
The increasing complexity of advanced devices and systems increases the scale of
mathematical models used in computer simulations. Multiparametric analysis and study on …

Synthesis and Analysis of the Fixed-Point Hodgkin–Huxley Neuron Model

V Andreev, V Ostrovskii, T Karimov, A Tutueva… - Electronics, 2020 - mdpi.com
In many tasks related to realistic neurons and neural network simulation, the performance of
desktop computers is nowhere near enough. To overcome this obstacle, researchers are …

Numerical Stability and Performance of Semi-Explicit and Semi-Implicit Predictor–Corrector Methods

L Beuken, O Cheffert, A Tutueva, D Butusov, V Legat - Mathematics, 2022 - mdpi.com
Semi-implicit multistep methods are an efficient tool for solving large-scale ODE systems.
This recently emerged technique is based on modified Adams–Bashforth–Moulton (ABM) …

Numerical integration schemes based on composition of adjoint multistep methods

D Pesterev, O Druzhina, A Pchelintsev, E Nepomuceno… - Algorithms, 2022 - mdpi.com
A composition is a powerful tool for obtaining new numerical methods for solving differential
equations. Composition ODE solvers are usually based on single-step basic methods …