Open Nonlinear Systems Research Articles

Expansions of the theatre at the times of quantum: Temptation by radicalism

Relevance. This article explores the emerging field of �quantum theatre� and critically examines attempts to apply quantum concepts to theatrical theory and practice. Purpose. This article aims to evaluate the current state of quantum theatre research and propose new theoretical frameworks. Methodology. The author conducts a critical analysis of existing literature on quantum theatre, including works by Carol Fisher, Naomi Iizuka, Anne Bogart, and others. The methodology involves examining these works through the lens of quantum physics principles, while cautioning against simplistic analogies. Results. The analysis reveals that many current approaches to quantum theatre rely on superficial analogies to quantum phenomena without sufficient rigor. The author argues there is not yet a true �quantum theatre�, but rather early explorations of quantum-inspired ideas. The author proposes new theoretical frameworks drawing on Rupert Sheldrake�s morphogenetic fields and V.V. Nalimov�s �fields of consciousness� to understand theatrical phenomena. Conclusions. This article concludes that more rigorous interdisciplinary approaches drawing on quantum physics, biology, and consciousness studies offer promising directions for future research. The author suggests that theatre and artistic culture in general as open non-linear systems operating based on self-organization, self-regulation and self-development, with high degrees of freedom, can provide a unique understanding of quantum phenomena at the macro level, potentially contributing to the fundamental principles of cognitive theory. Keywords: morphogenetic fields; quantum biology; non-linear theatre; space-time in performance; post-non-classical art science

ЛЕКСИЧЕСКАЯ СИНОНИМИЯ В СИТУАЦИЯХ ЮРИДИЧЕСКОГО ДИСКУРСА С ПОЗИЦИЙ ЛИНГВИСТИЧЕСКОЙ СИНЕРГИИ

The article dwells on lexical synonyms in the situations of legal discourse. The research is based on the idea of selforganization of complex open systems. Legal discourse as an open nonlinear system, author’s intentions as an attractor in a separate communicative block, general and special factors stabilizing the system of discourse are considered. The author’s attention is mainly focused on semantic variants in the statement/text as one of the linguistic means used by the actor to achieve the goals in a specific communicative situation (indictment, prosecutor’s closing argument, outline). The conclusion is made about the functionality of semantic variants in the process of transferring the intention.

Reciprocity Relations for Open Nonlinear Systems in Variable Fields

Reciprocity Relations for Open Nonlinear Systems in Variable Fields

Медийная картина мира как объект научного описания

The purpose of the article is to consider the formation, development and modern approaches to the study of one of the key concepts for media research — the media picture of the world. The relevance of the study is due to the growing influence of media representation of events formed by the media with the help of linguomedia construction technologies on public consciousness and behavior. The study of the media picture of the world as an object of scientific description is based on an integrative approach,
 including its consideration in a historical perspective, analysis of various approaches to definition, as well as a review of modern theories and methods of study. Particular attention is paid to the historical and philosophical roots of the modern interpretation of the concept of “media picture of the world”, domestic research in this area, as well as methods of modeling the modern media picture of the world, which allows us to analyze the processes of formation of media images in dynamics. As a result of the study, the key properties of the media picture of the world are highlighted, such as:the media picture of the world is an open nonlinear dynamic system that has both a holistic and mosaic character; The media picture of the world,formed by national media, reflects and reproduces the sociocultural specifics of a certain civilizational community and region.

On Approaches to Designing a “Vivid” Economy

The study examines approaches to designing an economy capable of life. The purpose of the article is to obtain criteria that satisfy such an economy. The hypothesis is the idea of the ability of the economy to self-propulsion due to the continuous exchange between its elements. Information and knowledge are considered as a universal category that takes part in the processes of exchange. Hence the problem of stability in complex open nonlinear systems is emphasized; a definition is given for the ultra-sustainability of the economy – ​the economy bypasses those states that can lead to a change in sustainability. The author sees the result of the study of the potential for ultra-sustainability in the “vivid” components of the economy: the ability of the economic system to interact with lower and higher levels in the hierarchical structure; definition of meanings and goal setting; prioritization in safety and evolution; subjectivity; production and application of knowledge; processing external chaos and working into its own complexity; functioning feedbacks; the presence of a strong-willed and effective component; accountability mechanism. The research method consists in referring to a systematic and synergistic approach, which makes possible to explain the phenomenon of homeostasis in the economy. Intermediate conclusions are obtained: information and knowledge components can act as a unifying element for exchange processes in the economy. The conclusion that self-completion of a holistic image of the national economy can be carried out with the help of knowledge, which act as a driving and structuring force, is proposed for discussion in economic science.

Early warning and detection of geological disasters based on intelligent genetic algorithm

Abstract In recent years, the frequent occurrence of earthquakes, landslides, debris flow and other geological disasters worldwide is endangering people's production and life, which not only causes serious damage to infrastructure, but also creates a certain degree of fear for people. Geological disaster is an open nonlinear complex system, which has extraordinary complex geological process, formation conditions, and causes. Therefore, it makes difficulty in capturing the dynamic information and searching for the global optimal solution. Meanwhile, traditional geological disaster warning system has the deficiencies of single disaster warning and low accuracy. In order to improve the level of early warning and detection of geological disasters, this paper combined the genetic algorithm with superior performance and Support Vector Regression (SVR) algorithm to establish a feasible and credible early warning and monitoring model for geological disasters. The experimental results show that the early warning and monitoring model proposed in this paper can greatly improve the ability of geological disaster prevention and early warning, and greatly improve the level of disaster prevention and early warning, with good engineering application value.

CONCEPTS THROUGH A LINGUOSYNERGETIC LENS (ON THE EXAMPLE OF THE CONCEPT OF DEATH)

The article discusses the functioning of a concept from a linguosynergetic perspective as a spontaneous equipment of the structure of a homeostatic hierarchical complex organized as an open nonlinear system. The research is aimed to investigate the DEATH concept functioning from a linguosynergetic perspective and develop a model for understanding the synergistic interplay of linguistic and contextual factors in the conceptualization of death. To develop the main research hypothesis, general scientific methods like analysis, synthesis, induction, deduction, abstraction, explanation, and description are used. This system is characterized as an open one because it constantly interacts with the external world and is nonlinear, meaning that it has various options for development at the bifurcation point, but only one is chosen. This continuous process of structuring is known as emergence, which means the concept can adapt to new meanings based on the realities of the world around it. Emergence is a result of the selforganizing mechanism, where the system is reorganized and spontaneously equipped with elements that allow it to move to a new level of operation, while maintaining balance by outputting information from the system’s boundaries. However, the system is also influenced by external factors, which can cause conflict and lead to further reorganization. As a result, the emergence process is ongoing and dynamic, with the structure being both a consequence and a cause of the system`s development. Thus, the principle of self-organization, which is the key concept of synergetics, is founded on the notion of instability. In essence, self-organization refers to the spontaneous emergence of order in a system, which results from the interactions and interrelationships between the system`s components. As such, the concept of self-organization is closely linked to the idea of nonlinearity, which posits that small changes in the system`s components can lead to significant changes in the system`s behavior as a whole. In other words, the behavior of the system as a whole is not simply a sum of the behaviors of its individual components, but is instead an emergent property that arises from the complex interactions between those components. The formation of a new system is not merely a sum of its individual parts. This is, due to the way in which the components of the system connect with one another, a phenomenon known as coherence. Coherence acts as a means to coordinate the various components of the system so that they work together in harmony, rather than independently. Additionally, the system`s components change at different rates and are of varying quality. This process is responsible for the system`s evolutionary nature and reinforces the principle of evolutionary holism in synergetics. This principle is concerned with understanding the mechanisms by which the system`s components come together to form a whole. In summary, the concept is formed in the human mind through a collection of thoughts, which can take on various forms such as lexical and semantic fields, modes, frames, and emotions. The specific form the concept takes depends on the level at which the bifurcation point impacts the fluctuation of the conceptual structure and discursive environment. Essentially, the concept arises from a system that is in an unstable state and is subject to fluctuations that threaten its structure. When the system reaches the bifurcation point, the individual selects one of the possible models for the concept`s development, and this results in a transition from “chaos” to “order” as the concept gains verbal representation. The activation of a concept in one`s cognition occurs at different intensities and is dependent on several factors. These factors include the individual’s level of knowledge about the concept, their principles and beliefs, their interests, their life experiences, as well as extralinguistic factors. The activation of a concept can occur in varying degrees, with some individuals having a more profound understanding of a concept compared to others. Additionally, the process of concept activation can be influenced by external factors such as societal norms and cultural beliefs. Therefore, the way in which a person perceives and activates a concept is a complex and individualized process, influenced by both internal and external factors.

Topological synchronization of quantum van der Pol oscillators

To observe synchronization in a large network of classical or quantum systems demands both excellent control of the interactions between the nodes and very accurate preparation of the initial conditions due to the involved nonlinearities and dissipation. This limits the applicability of this phenomenon for future devices. Here, we demonstrate a route towards significantly enhancing the robustness of synchronized behavior in open nonlinear systems that utilizes the power of topology. In a lattice of quantum van der Pol oscillators with topologically motivated couplings, boundary synchronization emerges in the classical mean field as well as the quantum model. In addition to its robustness against disorder and initial state perturbations, the observed dynamics is independent of the underlying topological insulator model provided the existence of zero-energy modes. Our work extends the notion of topology to the general nonlinear dynamics and open quantum system realm with applications to networks where specific nodes need special protection like power grids or quantum networks.

Что такое устойчивое знание?

The paper investigates the problem of knowledge stability. The purpose of the article is to analyze the theoretical prerequisites for knowledge stability in the economy and society. The study considers the hypothesis about the existence and applicability of stable knowledge in the economy. There are several types of stability: stability in mechanical media, in complex nonlinear systems, asymptotic stability, stability based on the energy criterion, and stability in the institutional environment. “Mechanical approaches” to the stability of economic structures as well as data-driven approaches in management are not considered by the author as comprehensive enough to describe super-complex processes in nonlinear open systems. The article criticizes theories that do not give due regard to the explosive nature of knowledge, setbacks in development, and the existence of limits to growth. Methodologically, the study relies on the synthesis of systemic and synergistic approaches in economics. The research novelty stems from the fact that the study showcases the significance of chaos for knowledge-intensive activity and discusses threats to the stability of the economy and society. The study singles out two types of knowledge with unifying and separating properties. The author links these properties to the specifics of light in physics: civilizational knowledge is like a wave while competitive knowledge is like a particle. A particular emphasis is laid on those properties of knowledge that are based on its “quantum nature”. In this case, small things (knowledge) can control big things, they can completely transform the entire structure and disrupt the stability of the old institutional frameworks. The study puts forward the concept of knowledge genesis as a theoretical and practical transition of stable knowledge into practice. In conclusion, the dangers of reductionist tendencies in economic theory are outlined and avenues for further research are highlighted.

Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model

The bacteria metabolic process of open nonlinear dissipative system far from equilibrium point is modeled using classical methods of synergetics. The invariant measure and its convergence in the phase space of the system was obtained in strange attractor mode. The distribution of point density of trajectory intersection of phase space cells with maximum invariant measure and convergence in time of its average value was obtained. The result concluded is that the value of an invariant measure can be a characteristic of the transitional process of adaptation of cell metabolic process to change outside environment.

Analyzing and forecasting financial series with singular spectral analysis

Abstract Modern techniques for managing multidimensional stochastic processes that reflect the dynamics of unstable environments are proactive, which refers to decision making based on forecasting the system’s state vector evolution. At the same time, the dynamics of open nonlinear systems are largely determined by their chaotic nature, which leads to a violation of stationarity and ergodicity of the series of observations and, as a result, to a catastrophic decrease in the efficiency of forecasting algorithms based on traditional methods of multivariate statistical data analysis. In this article, we make an attempt to reduce the instability influence by employing singular spectrum analysis (SSA) algorithms. This technique has been employed in a wide class of applied data analysis problems formulated in terms of singular decomposition of data matrices: technologies of immunocomputing and SSA.

МОВНІ ГОРОЗОНТИ (ЛІНГВОСИНЕРГЕТИКА) ІДІОСТИЛЮ МИКОЛИ ВІНГРАНОВСЬКОГО

Among the linguistic studies of recent decades, synergetic studies posess a prominent place, the literary text in which, is interpreted as an open nonlinear dynamic system. It should be noted that linguosynergetics studies and analyzes the language-speech system and the language personality of the author as a complex, open, nonlinear system, which algorithm ensures the interaction of its own subsystems and external factors of the ethnos, its culture and society. The aim of the article is to analyze the figurative language palette of Mykola Vingranovskyi’s idiosyncrasy, comprehending his connection of the energy of cognition into the word he created. It is focused on linguosynergetics, the energy of the word through the prism of the author's work, the author's aphorisms, which convey the unique semantics, affect the emotions, the aesthetic tastes of a person who partakes by the poetic language of the author.

Early Warning Signals for Critical Transitions in Sandpile Cellular Automata

The sandpile cellular automata, despite the simplicity of their basic rules, are adequate mathematical models of real-world systems, primarily open nonlinear systems capable to self-organize into the critical state. Such systems surround us everywhere. Starting from processes at microscopic distances in the human brain and ending with large-scale water flows in the oceans. The detection of critical transitions precursors in sandpile cellular automata will allow progress significantly in the search for effective early warning signals for critical transitions in complex real systems. The presented paper is devoted to the detection and investigation of such signals based on multifractal analysis of the time series of falls of the cellular automaton cells. We examined cellular automata in square lattice and random graphs using standard and facilitated rules. It has been established that log wavelet leaders cumulant are effective early warning measures of the critical transitions. Common features and differences in the behavior of the log cumulants when cellular automata transit into the self-organized critical state and the self-organized bistability state are also established.

Reciprocity relations for open nonlinear systems in variable fields

A proof of reciprocity relations for nonlinear systems ininhomogeneous variable electric and magnetic fields in the presence ofunsteady spin currents, thermodynamic flows and mechanical disturbances isobtained by the Kubo method in the approximation of Markov relaxation andlocally quasi-equilibrium distribution. Keywords: Nonlinear distributed systems, locally quasi-equilibrium distribution, Markov relaxation, spin current, reciprocity\

Лінгвосинергетична модель концепту

The article focuses on linguosynergetic aspects of a concept as a cardinal unit of the conceptual picture of the world. This notion is so far the central and most controversial concept of modern linguistics, characterized by ambiguity of its interpretation, which indicates the diversity of its features and properties. The research deals with the structure of a concept aiming at making up such a universal model which would cater for all aspects and peculiarities of concept in linguistics. We believe that any definition of the concept should be embedded in its structure and correlate with all its features and properties. We state that structuring the concept in the form of a linguosynergetic model highlights not only the characteristics of the “original”, the hierarchy of its components, but the change of modes of its existence due to the fact that linguosynergertics suggests unique language of concept investigation. Guided by the laws of synergetics, we have built an integral scientific linguistic-synergetic model of the concept. Using the categorical-conceptual apparatus of synergetics in linguistics, we explained the mechanisms of self-regulation of the concept as a spontaneous equipment of the structure of a homeostatic hierarchical complex organized open nonlinear system. During the study, we proved the fractality of the concept and came to the conclusion that the fractality of the concept is manifested in the self-similarity of its structural elements: lexical-semantic variants (microfractals) in the process of their functioning can grow indefinitely thematically and become more complicated (or, conversely, collapse), while leaving an organized form. Recursiveness (recurrence) is manifested at the level of content (repeating the topic) and at the level of its reflection (repeating the form of presentation of information). Each microfractal can function autonomously. At the same time, the property of selfsimilarity ensures the fulfillment of the law of unity in diversity and generates a holistic perception of the concept.

Геометрическое моделирование оригами в средовом подходе к самоорганизации в периоде детства

Origami is a means of geometric modeling and self-organization formation in young children. As a part of preschool education, it serves as propaedeutics of basic geometry. One of the tasks of modern education is to improve the social status of mathematics because of its ability to encourage self-development in children. The research was based on the synergetic paradigm which defines a young child as an open nonlinear system capable of self-development. The article gives a theoretical and conceptual justification of origami as a means of self-organization development through the nonlinear educational environment that introduces preschoolers to mathematical culture. Origami proved to be able to enrich preschool education as this activity concentrates the educational resources of the structure-forming environment.

Nonequilibrium thermodynamics of glycolytic traveling wave: Benjamin-Feir instability

Evolution of the nonequilibrium thermodynamic entities corresponding to dynamics of the Hopf instabilities and traveling waves at a nonequilibrium steady state of a spatially extended glycolysis model is assessed here by implementing an analytically tractable scheme incorporating a complex Ginzburg-Landau equation (CGLE). In the presence of self and cross diffusion, a more general amplitude equation exploiting the multiscale Krylov-Bogoliubov averaging method serves as an essential tool to reveal the various dynamical instability criteria, especially Benjamin-Feir (BF) instability, to estimate the corresponding nonlinear dispersion relation of the traveling wave pattern. The critical control parameter, wave-number selection criteria, and magnitude of the complex amplitude for traveling waves are modified by self- and cross-diffusion coefficients within the oscillatory regime, and their variabilities are exhibited against the amplitude equation. Unlike the traveling waves, a low-amplitude broad region appears for the Hopf instability in the concentration dynamics as the system phase passes through minima during its variation with the control parameter. The total entropy production rate of the uniform Hopf oscillation and glycolysis wave not only qualitatively reflects the global dynamics of concentrations of intermediate species but almost quantitatively. Despite the crucial role of diffusion in generating and shaping the traveling waves, the diffusive part of the entropy production rate has a negligible contribution to the system's total entropy production rate. The Hopf instability shows a more complex and colossal change in the energy profile of the open nonlinear system than in the traveling waves. A detailed analysis of BF instability shows a contrary nature of the semigrand Gibbs free energy with discrete and continuous wave numbers for the traveling wave. We hope the Hopf and traveling wave pattern around the BF instability in terms of energetics and dissipation will open up new applications of such dynamical phenomena.

Spatiotemporal spread of perturbations in a driven dissipative Duffing chain: An out-of-time-ordered correlator approach.

Out-of-time-ordered correlators (OTOCs) have been extensively used as a major tool for exploring quantum chaos, and recently there has been a classical analog. Studies have been limited to closed systems. In this work, we probe an open classical many-body system, more specifically, a spatially extended driven dissipative chain of coupled Duffing oscillators using the classical OTOC to investigate the spread and growth (decay) of an initially localized perturbation in the chain. Correspondingly, we find three distinct types of dynamical behavior: the sustained chaos, transient chaos, and nonchaotic region, as clearly exhibited by different geometrical shapes in the OTOC heat map. To quantify such differences, we look at instantaneous speed (IS), finite-time Lyapunov exponents (FTLEs), and velocity-dependent Lyapunov exponents (VDLEs) extracted from OTOCs. Introduction of these quantities turns out to be instrumental in diagnosing and demarcating different regimes of dynamical behavior. To gain control over open nonlinear systems, it is important to look at the variation of these quantities with respect to parameters. As we tune drive, dissipation, and coupling, FTLEs and IS exhibit transition between sustained chaos and nonchaotic regimes with intermediate transient chaos regimes and highly intermittent sustained chaos points. In the limit of zero nonlinearity, we present exact analytical results for the driven dissipative harmonic system, and we find that our analytical results can very well describe the nonchaotic regime as well as the late-time behavior in the transient regime of the Duffing chain. We believe that this analysis is an important step forward towards understanding nonlinear dynamics, chaos, and spatiotemporal spread of perturbations in many-particle open systems.

Laser solitons: topological and quantum phenomena

A review of the properties of dissipative solitons with different dimensions and various topological characteristics in lasers and laser systems with saturable absorption is presented. Unlike conservative solitons, laser solitons are attractors, the increased stability of which is caused by the balance of energy inflow and outflow. The topology of laser solitons is due to their complex internal structure, which is determined by the field of radiation energy fluxes, and the energy characteristics are an important addition to the topological characteristics. The equation of their dynamics — the generalized Ginzburg–Landau equation — reflects the basic features of open nonlinear systems of various natures. The topological features of solitons expand the range of manifestations of their quantum fluctuations.

APPLICATION OF CONVERGENT APPROACH IN STRATEGIC PROJECT MANAGEMENT

Thearticleisdedicatedtotheproblemofintegration of project, strategic and cognitive management in the system of interactions of the management subject and the heterotropicenvironment. The place of convergence in strategic developmentprojects management is considered through the prism of cognitive approach.Main multidisciplinary approaches are defined in the field of open nonlinear systems of “subject-environment” interactions management. Issues of the place of intentions, goal setting and their interconnections were considered in the context of the project approach. Relevance of convergency of strategic, cognitive and project approach from the perspective of strategic projects management was justified. Connections of cognitive knowledge obtaining processes and project integration management during the realization of the lifecycle were identified. Relevant approaches to convergency issues were analyzed and theoretical justifications of influence of correspondence of competencies of the project team on the system’s strategic development was developed. Key elements of the system of interactions of the management subject from the position of cognitive, strategic and project management were described. Base interconnections of modern epistemologicaldirections of the modern management field were formalized. Multidisciplinary connections were considered that highlight the change of paradigm of complex nonlinear systems management, its adaptation to the conditions of the sixth technological mode –NBIC-convergence. Issue of concept of system’s strategic development as a complex of formalization processes and realization of management approaches for successful realization of projects was considered. Aparticular attention the authors pay to research of knowledge management in the integrated system of project team management. A concept of development of intellectual capital through the system of experience accumulation new ideas, initiative, innovations generation of intentions, goal setting and result during acquiring new valuables by the subject of project management.