ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


Нелинейная динамика и нейронаука

Модель когнитивной активности человеческого мозга на основе математического аппарата автоколебательной квантовой механики

Цель работы. Разработка модели когнитивной активности человеческого мозга на основании математического аппарата автоколебательной квантовой механики с точки зрения теории информационных образов/репрезентации.

Working memory capacity: the role of parameters of spiking neural network model [Емкость рабочей памяти: роль параметров импульсной нейронной сети]

Цель работы - исследование формирования рабочей памяти на основе вычислительной модели импульсной нейронной сети с пластичными связями и изучение емкости рабочей памяти в зависимости от временных масштабов синаптической фасилитации и депрессии, а также фонового возбуждения сети. Методы. Модель имитирует формирование рабочей памяти в рамках синаптической теории: запоминаемые элементы сохраняются в виде кратковременных потенцированных связей в выборочной популяции, а не в виде постоянной активности.

Estimation of impulse action parameters using a network of neuronlike oscillators

Aim of the study is to develop a method for estimating the parameters of an external periodic impulse action using a spiking network of neuronlike oscillators. Methods. The spiking activity of a network consisting of coupled nonidentical neuronlike FitzHugh–Nagumo oscillators was studied, depending on the parameters of the periodic impulse action.

Postulates of the cognitive theory of thinking and their consequences

Purpose of the work is to create a theoretical model of the thinking process, considered as a set of operations for the formation of cognitive generalizations of the level of categories (concepts). Method for creating a theoretical model is based on the approach used in natural sciences. It involves the selection of a small number of reliable facts, which are accepted as true on the basis of their evidence. On the basis of these facts, established in various scientific disciplines, the axioms of the proposed theory are formulated.

Синхронизация волн возбуждения в двухслойной сети нейронов ФитцХью-Нагумо при шумовой модуляции параметров межслойной связи

Целью работы является изучение возможности синхронизации волновых процессов в распределенных возбудимых системах посредством шумовой модуляции силы связи между ними.
Методы. Простая модель сети нейронов, представляющая собой два связанных слоя возбудимых осцилляторов ФитцХью-Нагумо с кольцевой топологией, исследуется методами численного моделирования. Связь между слоями имеет случайную компоненту, задаваемую для каждой пары связанных осцилляторов независимыми источниками цветного гауссова шума.

Neurodynamic model for creative cognition of relational networks with even cyclic inhibition

The purpose of this work is study of the neurodynamic foundations of the creative activity of the brain. Modern AI systems using deep neural network training require large amounts of input data, high computational costs and long training times. On the contrary, the brain can learn from small datasets in no time and, crucially, it is fundamentally creative. Methods. The study was carried out through computational experiments with neural networks containing 5 and 7 oscillatory layers (circuits) trained to represent abstract concepts of a certain class of animals.

Clinical aspects of nonlinear dynamics of cognitive processes: features of sensorimotor activity in patients at the clinical phase of COVID-19

The mechanisms of retrograde or anterograde neuronal transport ensure the migration of SARS-CoV-2 viruses to motor and sensory terminals, which can provoke significant distortions in the processes of information pattern recognition and the formation of action programs. The purpose of this study is to experimentally determine the dynamic modes of the cognitive system in patients with COVID-19. Cognitive processes are displayed in the space of parameters of sensorimotor activity when solving problems of different levels of complexity on the COGNITOM WEB platform.

Measuring cognitive potential based on the performance of tasks of various levels of complexity

Purpose of work. The article is devoted to the topic of measuring the cognitive potential of a person on the basis of the obtained experimental data in order to identify its potential capabilities, as well as to monitor their dynamics, for example, to diagnose recovery after an illness. This goal is divided in the study into two tasks, namely, to assess the cognitive potential, it is necessary to develop two algorithms: 1. Assessment of the level of cognitive complexity of tasks. 2. Systems of levels of cognitive potential for an individual. Methods.

Compartmental spiking neuron model CSNM

The purpose of this work is to develop a compartment spiking neuron model as an element of growing neural networks. Methods. As part of the work, the CSNM is compared with the Leaky Integrate-and-Fire model by comparing the reactions of point models to a single spike. The influence of hyperparameters of the proposed model on neuron excitation is also investigated. All the described experiments were carried out in the Simulink environment using the tools of the proposed library. Results.

Construction of the fitness function depending on a set of competing strategies based on the analysis of population dynamics

The purpose of this work is to construct a fitness function that depends on the set of coexisting competing hereditary elements based on population dynamics in the “predator– prey” model with the logistic growth of prey. Materials and methods. The work uses the generalized Volterra model. The planktivorous fish plays the role of a predator. Many different species of zooplankton are considered as prey, which differ from each other in the hereditary strategies of daily vertical migrations. The model takes into account the intraspecific competition of prey.

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