arXiv subjects

Vasily Lubashevskiy

Publications and source records attributed to Vasily Lubashevskiy.

7 recordsLinked to original sources

arXiv2026

A Non-Hermitian Potential Well Formalism for Conscious--Preconscious--Subliminal Processing

We propose a phenomenological model of the Global Neuronal Workspace (GNW) in which early sensory processing generates an effective complex-valued landscape governing the dynamics of high-level stimulus representations. This landscape provides a dynamical bridge between sensory encoding and conscious access, enabling both processes to be described within a unified framework. High-level representations are encoded in a cloud function defined on a Hilbert space over a perceptual state space, thereby combining the holistic structure of mental images with a neural implementation. Its dynamics is governed by a nonlinear Schrödinger-type equation in imaginary time with a non-Hermitian, non-normal Hamiltonian and a nonlinear Lotka--Volterra-type term that preserves norm and enables spatially nonlocal interactions. The Hermitian and anti-Hermitian parts of the Hamiltonian generate complementary processes: recognition via dissipative localization at minima of the GNW landscape and information broadcasting via spatial spreading across the state space. The resulting dynamics reproduces the subliminal--preconscious--conscious hierarchy of sensory processing. Conscious access corresponds to the emergence of a bound state, which occurs only when both the GNW landscape depth and the degree of top-down attention exceed threshold values. The resulting framework provides a tractable dynamical description linking sensory processing, attention, and conscious access within a unified dynamical setting.

q-bio.NC↗

arXiv2026

A Quantum-Analogue Formalism for Modeling Supraliminal Information Processing

We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment from the first-person perspective. The cloud function is characterized by two key features: (i) its spatial structure inherits properties of the perceived physical object, and (ii) its temporal evolution is governed by regularities reflecting intrinsic properties of large-scale neural activity. The governing equation for the cloud function is based on a neural-field model with polynomial nonlinearities and global phase-shift invariance of neural-pattern oscillations. Its structure may be interpreted as a Schrodinger-type equation with a nonlinear non-Hermitian Hamiltonian supplemented by terms analogous to those of the Lotka-Volterra model. The proposed approach is applied to the change-of-mind phenomenon in decision-making, in which an initial choice may be revised during its execution. Changes of mind are explained as arising from the interplay between fast preconscious sensory processing and slower conscious comparison of alternatives, consistent with neurophysiological evidence for continuous post-decisional evidence accumulation. The necessity of incorporating cloud-function self-interaction is also discussed.

q-bio.NC↗

arXiv2025

Oscillator Chain Model for Multi-Contour Systems With Priority in Conflict Resolution

We propose a novel model of oscillatory chains that generalizes the contour discrete model of Buslaev nets. The model offers a continuous description of conflicts in system dynamics, interpreted as interactions between neighboring oscillators when their phases lie within defined interaction sectors. The size of the interaction sector can be seen as a measure of vehicle density within clusters moving along contours. The model assumes that oscillators can synchronize their dynamics, using concepts inherited from the Kuramoto model, which effectively accounts for the discrete state effects observed in Buslaev nets. The governing equation for oscillator dynamics incorporates four key factors: deceleration caused by conflicts with neighboring oscillators and the synchronization process, which induces additional acceleration or deceleration. Numerical analysis shows that the system exhibits both familiar properties from classic Buslaev nets, such as metastable synchronization, and novel behaviors, including phase transitions as the interaction sector size changes.

nlin.AO↗

arXiv2025

Stochastic Description of Dynamical Traps in Human Control

A novel model for dynamical traps in intermittent human control is proposed. It describes probabilistic, step-wise transitions between two modes of a subject's behavior - active and passive phases in controlling an object's dynamics - using an original stochastic differential equation. This equation governs time variations of a special variable, denoted as $ζ$, between two limit values, $ζ=0$ and $ζ=1$. The introduced trap function, $Ω(Δ)$, quantifies the subject's perception of the object's deviation from a desired state, thereby determining the relative priority of the two action modes. Notably, these transitions - referred to as the subject's action points - occur before the trap function reaches its limit values, $Ω(Δ)=0$ or $Ω(Δ)=1$. This characteristic enables the application of the proposed model to describe intermittent human control over real objects.

nlin.AO↗

arXiv2014

Resource Redistribution Method for Short-Term Recovery of Society after Large Scale Disasters

Recovery of society after a large scale disaster generally consists of two phases, short- and long-term recoveries. The main goal of the short-term recovery is to bounce the damaged system back to the operating standards enabling residents in damaged cities to survive, and fast supply with vital resources to them is one of its important elements. We propose a general principle by which the required redistribution of vital resources between the affected and neighbouring cities can be efficiently implemented. The short-term recovery is a rescuer operation where uncertainty in evaluating the state of damaged region is highly probable. To allow for such an operation the developed principle involves two basic components. The first one of ethic nature is the triage concept determining the current city priority in the resource delivery. The second one is the minimization of the delivery time subjected to this priority. Finally a certain plan of the resource redistribution is generated according to this principle. Several specific examples are studied numerically. It elucidates, in particular, the effects of system characteristics such as the city limit capacity in resource delivery, the type of initial resource allocation among the cities, the number of cities able to participate in the resource redistribution, and the damage level in the affected cities. As far as the uncertainty in evaluating the state of damaged region is concerned, some specific cases were studied. It assumes the initial communication system has crashed and formation of a new one and the resource redistribution proceed synchronously. The obtained results enable us to consider the resource redistribution plan governed by the proposed method semi-optimal and rather efficient especially under uncertainty.

physics.soc-ph↗

arXiv2013

Resource Redistribution under Lack of Information: Short-Term Recovery after Large Scale Disasters

The paper is devoted to the problem of disaster mitigation. It develops an emergent mechanism of resource redistribution aimed at recovering of a socio-technological system affected by a large scale disaster. The basic requirements to the short-term recovery are taken into account in constructing this mechanism. The system at hand consists of many individual units (cities) and the mechanism is based on their cooperative interaction, which makes the resource redistribution efficient regardless of the particular position of affected region. Previously we studied the dynamics of supply process governed by this mechanism when all the information about the system is available and actual from the beginning of the process (V. Lubashevskiy, T. Kanno, K. Furuta, arXiv:1310.0648). In the present paper we analyze the effects of lack of information on the resource delivery rate. Two scenarios of the lack of information are allowed for. The first one is the delay of the information about the city states. The second one is its incompleteness. As a result of simulation, it is demonstrated that the duration of the resource redistribution governed by the developed mechanism is weakly affected by the lack of information.

nlin.AO↗

arXiv2013

Algorithm for Resource Redistribution Required for Recovery of Society after Large Scale Disasters

The recovery of society after a large scale disaster generally consists of two phases, short- and long-term recoveries. The problem of short-term recovery is rather close to the problem of resilience in their goal, namely, bouncing the damaged system back to the operating standards. The present paper proposes an algorithm for the vital resource redistribution required for implementation of the short-term recovery. The developed model is based on the cooperative interaction of cities during the resource redistribution, ordering the cities according to their priority in resource delivery, and a generating a semi-optimal plan for the desired redistribution. Nonlinear effects caused by the city limit capacities are taken into account. Two types of systems, "uniform" and "centralized", are studied numerically. In particular it is demonstrated that the cooperation effects are able to shorten substantially the duration of the process required for its implementation.

nlin.AO↗