scholarly journals The concept of an open dynamic system

2020 ◽  
Vol 3 ◽  
pp. 3-22
Author(s):  
O.M. Reznik ◽  
Keyword(s):  
Dynamical System ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Social Intelligence ◽  
Classical Model ◽  
Space Time ◽  
Internal Space ◽  
Open Dynamical System ◽  
New Interpretation ◽  
Multicellular Organisms

The concept of an open dynamical system as a general model of the development of systems and processes of various nature is proposed. It is based on a new interpretation of M. Mesarovich’s theorem on the decomposition of the Universum, and the concept of observation as an asymmetric relation corresponding to the movement of basis elements of a set of states of a dynamical system between its external and internal space. The element of the basis, according to the concept of geometrodynamics, exists as a vortex in an empty curved internal space of a dynamical system, or as an elementary particle that transfers a quantum of energy when observed. An open dynamical system is defined as a finite dynamical system exchanging observations with the environment, divided into local, representing an inverse dynamical system, and external, where external observations come from. In the intervals between external observations, it exists as a conservative dynamical system. It is regarded the evolution of dynamic systems in the process of expansion and cooling of the Universe: the appearance of elementary particles and atoms, the formation of complex molecules and chain macromolecules, the appearance of living cells, the formation of multicellular organisms, the nervous system and the brain, the appearance of a human and the intellect, the development of society and civilization. With the emergence of life, open dynamic systems became distributed and perform the functions of natural selection of members of the population, and after the appearance of intelligence and the formation of society, they realize social intelligence and become virtual. Threats of uncontrolled behavior of virtual systems, in particular digital artificial intelligence systems, which can neglect the discreteness of space-time due to the use in their design of the classical model of infinitesimal, which do not exist due to the discreteness of space-time, are considered. The incompatibility of the classical model with the discrete model of an open dynamic system is an urgent scientific problem that requires further study.

PERTURBATION PARAMETERS TUNING OF MULTI-OBJECTIVE OPTIMIZATION DIFFERENTIAL EVOLUTION AND ITS APPLICATION TO DYNAMIC SYSTEM MODELING

2015 ◽  
Vol 75 (11) ◽  
Author(s):  
Mohd Zakimi Zakaria ◽  
Hishamuddin Jamaluddin ◽  
Robiah Ahmad ◽  
Azmi Harun ◽  
Radhwan Hussin ◽  
...  
Keyword(s):  
Differential Evolution ◽  
Dynamic System ◽  
Dynamic Systems ◽  
System Modeling ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Structure Selection ◽  
Dynamic System Modeling ◽  
Perturbation Parameters ◽  
Model Structure Selection

This paper presents perturbation parameters for tuning of multi-objective optimization differential evolution and its application to dynamic system modeling. The perturbation of the proposed algorithm was composed of crossover and mutation operators.  Initially, a set of parameter values was tuned vigorously by executing multiple runs of algorithm for each proposed parameter variation. A set of values for crossover and mutation rates were proposed in executing the algorithm for model structure selection in dynamic system modeling. The model structure selection was one of the procedures in the system identification technique. Most researchers focused on the problem in selecting the parsimony model as the best represented the dynamic systems. Therefore, this problem needed two objective functions to overcome it, i.e. minimum predictive error and model complexity.  One of the main problems in identification of dynamic systems is to select the minimal model from the huge possible models that need to be considered. Hence, the important concepts in selecting good and adequate model used in the proposed algorithm were elaborated, including the implementation of the algorithm for modeling dynamic systems. Besides, the results showed that multi-objective optimization differential evolution performed better with tuned perturbation parameters.

scholarly journals Dynamical system of the growth of COVID-19 with controller

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Dania Altulea ◽  
Rafida M. Elobaid
Keyword(s):  
Dynamical System ◽  
Optimal Control ◽  
Growth Rate ◽  
Dynamic System ◽  
Unique Solution ◽  
Population Dynamic ◽  
Integral Control ◽  
The Social ◽  
Social Separation ◽  
Strong Control

AbstractRecently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

Discreteness of Space and Its Consequences

2021 ◽  
pp. 132-141
Author(s):  
Аnatoly М. Shutyi ◽  
Keyword(s):  
Spatial Configuration ◽  
Relativistic Effects ◽  
Space Time ◽  
Maximum Speed ◽  
Speed Of Light ◽  
Quantum Uncertainty ◽  
Proposed Model ◽  
Spatial Configurations ◽  
New Interpretation ◽  
Component Particle

Based on the general principle of the unity of the nature of interacting entities and the principle of the relativity of motion, as well as following the requirement of an indissoluble and conditioning connection of space and time, the model of a discrete space-time consisting of identical interacting particles is proposed as the most acceptable one. We consider the consequences of the discreteness of space, such as: the occurrence of time quanta, the limiting speed of signal propa­gation, and the constancy of this speed, regardless of the motion of the reference frame. Regularly performed acts of particles of space-time (PST) interaction en­sure the connectivity of space, set the quantum of time and the maximum speed – the speed of light. In the process of PST communication, their mixing occurs, which ensures the relativity of inertial motion, and can also underlie quantum uncertainty. In this case, elementary particles are spatial configurations of an excited “lattice” of PST, and particles with mass must contain loop struc­tures in their configuration. A new interpretation of quantum mechanics is pro­posed, according to which the wave function determines the probability of de­struction of a spatial configuration (representing a quantum object) in its corresponding region, which leads to the contraction of the entire structure to a given, detectable component. Particle entanglement is explained by the appear­ance of additional links between the PST – the appearance of a local coordinate along which the distance between entangled objects does not increase. It is shown that the movement of a body should lead to an asymmetry of the tension of the bonds between the PST – to the asymmetry of its effective gravity, the es­tablishment of which is one of the possibilities for experimental verification of the proposed model. It is shown that the constancy of the speed of light in a vac­uum and the appearance of relativistic effects are based on ensuring the connec­tivity of space-time, i.e. striving to prevent its rupture.

Forensic and pharmaceutical analysis of addictive morbidity because of the use of psychoactive substances in Ukraine

2020 ◽  
Vol 15 (16) ◽  
pp. 128-132
Author(s):  
V. V. Shapovalov ◽  
◽  
A. A. Gudzenko ◽  
V. A. Shapovalova ◽  
V. V. Shapovalov ◽  
...  
Keyword(s):  
Information Security ◽  
Dynamic System ◽  
Public Administration ◽  
Classical Model ◽  
Security Management ◽  
The State ◽  
State Management ◽  
Study Results ◽  
Factors Of Influence ◽  
Significant Factors

Introduction. Modern turbulent state of society actualizes need for scientifically based methods and technological solutions to improve the information security system not only for the state, but also for society and the person in particular. Objective. To highlight the significant factors of information security of social development and to study the role of public admini-stration in the context of the actualization of information threats and risks. Study results. The article considers the essence of state management approaches to information security based on interpretation in terms of risk management. Information security is presented as a dynamic system that needs balance. Balance can be disturbed by external and internal factors. The 8 most significant factors that need to be taken into account to develop effective models of public administration in the field of information security are identified. 4 paradigms of information security management (systemic, synergetic, phenomenological and cognitive) which can be involved are considered. However, they are not universal and separate in any particular case, that is they are systemic in nature, and security management should be based on their integrated application depending on the situation and the specifics of the management process. Based on the analysis of the classical model of maintaining the state balance of a dynamic system, it is concluded that it can be used to ensure information security. A model is proposed to explain the reasons for the imbalance of the dynamic system of information security under the action of factors of influence and the risks that accompany them, and to determine the measures of public administration to ensure it. Conclusion. The model is proposed to explain the reasons for the imbalance of the dynamic system of information security under the action of factors of influence and the risks that accompany them, and to determine the measures of public administration to ensure it. Key words: Information security; Information security factors; Society; Public administration; Information security model.

Parameter Design in Optimal Control Problems for Linear Dynamic Systems Using a Canonical Form

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Ui-Jin Jung ◽  
Gyung-Jin Park ◽  
Sunil K. Agrawal
Keyword(s):  
Optimal Control ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Control Method ◽  
Linear Dynamic System ◽  
Parameter Design ◽  
Control Problems ◽  
State Transformation ◽  
Specific System ◽  
Linear Dynamic

Control problems in dynamic systems require an optimal selection of input trajectories and system parameters. In this paper, a novel procedure for optimization of a linear dynamic system is proposed that simultaneously solves the parameter design problem and the optimal control problem using a specific system state transformation. Also, the proposed procedure includes structural design constraints within the control system. A direct optimal control method is also examined to compare it with the proposed method. The limitations and advantages of both methods are discussed in terms of the number of states and inputs. Consequently, linear dynamic system examples are optimized under various constraints and the merits of the proposed method are examined.

Equations with fluctuating parameters for an open dynamical system

1979 ◽  
Vol 22 (4) ◽  
pp. 315-317
Author(s):  
G. F. Efremov ◽  
V. A. Kazakov
Keyword(s):  
Dynamical System ◽  
Open Dynamical System

scholarly journals Brief Analysis of Hierarchy of Human’s Spiritual World

2020 ◽  
Vol 2 (4) ◽  
pp. 53
Author(s):  
Shitong Zhang
Keyword(s):  
Dynamical System ◽  
Operating System ◽  
Dynamic System ◽  
Cognitive System ◽  
Complex Dynamic ◽  
Complex Dynamic System ◽  
Spiritual World ◽  
Controlling System ◽  
And Behaviors

By studying human’s spiritual world earnestly and comprehensively, you can learn that human’s spiritual world is hierarchical. The spiritual world is an extremely complex dynamic system consisting of 4 interconnected hierarchies. The dynamic system is composed of cognitive system, dynamical system, reflection-controlling system and operating system. Human’s spiritual world determines people’s way of response and action. All the thoughts and behaviors of people are the result of all the subsystems in human spiritual world.

scholarly journals A bulk localized state and new holographic renormalization group flow in 3D spin-3 gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850061 ◽  
Author(s):  
Ryuichi Nakayama ◽  
Tomotaka Suzuki
Keyword(s):  
Renormalization Group ◽  
Scalar Field ◽  
Central Charge ◽  
Dimensional Space ◽  
Space Time ◽  
Internal Space ◽  
Conformal Weight ◽  
Weight Changes ◽  
Localized State ◽  
Bulk Space

We construct a localized state of a scalar field in 3D spin-3 gravity. 3D spin-3 gravity is thought to be holographically dual to [Formula: see text]-extended CFT on a boundary at infinity. It is known that while [Formula: see text] algebra is a nonlinear algebra, in the limit of large central charge [Formula: see text] a linear finite-dimensional subalgebra generated by [Formula: see text] [Formula: see text] and [Formula: see text] [Formula: see text] is singled out. The localized state is constructed in terms of these generators. To write down an equation of motion for a scalar field which is satisfied by this localized state, it is necessary to introduce new variables for an internal space [Formula: see text], [Formula: see text], [Formula: see text], in addition to ordinary coordinates [Formula: see text] and [Formula: see text]. The higher-dimensional space, which combines the bulk space–time with the “internal space,” which is an analog of superspace in supersymmetric theory, is introduced. The “physical bulk space–time” is a 3D hypersurface with constant [Formula: see text], [Formula: see text] and [Formula: see text] embedded in this space. We will work in Poincaré coordinates of AdS space and consider [Formula: see text]-quasi-primary operators [Formula: see text] with a conformal weight [Formula: see text] in the boundary and study two and three point functions of [Formula: see text]-quasi-primary operators transformed as [Formula: see text]. Here, [Formula: see text] and [Formula: see text] are [Formula: see text] generators in the hyperbolic basis for Poincaré coordinates. It is shown that in the [Formula: see text] limit, the conformal weight changes to a new value [Formula: see text]. This may be regarded as a Renormalization Group (RG) flow. It is argued that this RG flow will be triggered by terms [Formula: see text] added to the action.

scholarly journals FAULT DETECTION IN DISCRETE DYNAMIC SYSTEMS WITH UNCERTAINTY BASED ON INTERVAL OPTIMIZATION

2011 ◽  
Vol 16 (4) ◽  
pp. 549-557 ◽  
Author(s):  
Wei Li ◽  
Xiaoli Tian
Keyword(s):  
Fault Detection ◽  
Dynamic System ◽  
Dynamic Systems ◽  
Optimization Model ◽  
Uncertain Parameters ◽  
Interval Optimization ◽  
Numerical Examples ◽  
Discrete Dynamic ◽  
Discrete Dynamic System ◽  
Discrete Dynamic Systems

The imprecision and the uncertainty of many systems can be expressed with interval models. This paper presents a method for fault detection in uncertain discrete dynamic systems. First, the discrete dynamic system with uncertain parameters is formulated as an interval optimization model. In this model, we also assume that there are some errors of observation values of the inputs/outputs. Then, M. Hladík's newly proposed algorithm is exploited for this model. Some numerical examples are also included to illustrate the method efficiency.

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