Axiological chaos and unsustainable man’s acting in a contemporary world has led him to a total confusion. He constantly acts toward environmental and cultural degradation. Also in social dimension a permanent and “general” crisis dominates. The crisis is rooted on multi-category stratification and based on post-truth models of interpersonal communication in traditional and virtual realities. Neoliberal model of economical conquest, in turn, effects unsustainability in economic sphere. Thus, in common reception – for the most people in the world – such situation has become unbearable. So, it is the educators’ duty to look for – with the intention to put into practise – such concepts and pedagogies, which could prepare the whole global society to real – not declaratory false – co-creation of its life in the world, understood as an actual and common home. Taking such perspective, the theory of Argentinian philosopher – Ernesto Laclau becomes an interesting proposition. The time of mono-dimensional – protestant and neoliberal – interpretation of values comes to the end. Now the time has come to accept the equality of different – having their roots in various cultures – value understanding. Possibility of local and particular interpretation of values – along with maintaining the rule of common good – gives the chance to update the education according to real, thus multidimensional humanistic ideal. Such a standpoint presents a way to cure/reform intercultural education, which nowadays is at an impasse. Mainly it uses stiff schemes and repeated patterns, so it has become imitative and conservative. In its contemporary formula intercultural education is not able to respond to present challenges of multicultural and global society. The need to implant into its structure the concept of sustainable development emerges as a must.
A new 4-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has an unstable rest point and a line of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. Synchronization result of the new nonlinear plant with itself is achieved using Integral Sliding Mode Control (ISMC). Finally, a circuit model using MultiSim of the new 4-D nonlinear plant with chaos is carried out for practical use.
Social and Economic Costs of Spatial Chaos – Settlement of Rural Areas. Among the features of spatial structures of villages and characteristics of rural areas, which support multidirectional socio-economic development and improvement of living conditions of inhabitants and users of the countryside, the focused and compact character of the development is of particular importance. The observed lack of determination in preventing and limiting suburbanization processes, including in rural areas, directly and negatively affects both the natural environment and forms of development of these areas, causing the generation of additional economic and social costs related to the chaotic management of space. The aim of the article is to estimate the degree of concentration of buildings in various types of communes in Poland and to determine the spatial distribution of this phenomenon to be able to estimate the size of chaos costs on a global basis and determine its level in the comparative system of municipalities.
Professor Piotr Pierański, an outstanding Polish physicists, excellent researcher and brilliant lecturer, passed away on the 23rd February 2018. The article quotes some recollections of his numerous friends and coworkers wordwide.
In this paper, we propose a new method of measuring the target velocity by estimating the scaling parameter of a chaos-generating system. First, we derive the relation between the target velocity and the scaling parameter of the chaos-generating system. Then a new method for scaling parameter estimation of the chaotic system is proposed by exploiting the chaotic synchronization property. Finally, numerical simulations show the effectiveness of the proposed method in target velocity measurement.
A heterogeneous Bertrand duopoly game with bounded rational and adaptive players manufacturing differentiated products is subject of investigation. The main goal is to demonstrate that participation of one bounded rational player in the game suffices to destabilize the duopoly. The game is modelled with a system of two difference equations. Evolution of prices over time is obtained by iteration of a two dimensional nonlinear map. Equilibria are found and local stability properties thereof are analyzed. Complex behavior of the system is examined by means of numerical simulations. Region of stability of the Nash equilibrium is demonstrated in the plane of the speeds of adjustment. Period doubling route to chaos is presented on the bifurcation diagrams and on the largest Lyapunov characteristic exponent graph. Lyapunov time is calculated. Chaotic attractors are depicted and their fractal dimensions are computed. Sensitive dependence on initial conditions is evidenced.
A method of suppressing chaotic oscillations in a tubular reactor with mass recycle is discussed. The method involves intervention in the temperature of the input flow by the recirculation flow and the temperature set from the exterior. The most advantageous solution was proved to be heat coupling elimination and maintenance of the reactor input temperature on the set level. Moreover, the reactor modelwas identified on the basis of a chaotic solution, as it provides the biggest entropy of information.
We study an elegant snap system with only one nonlinear term, which is a quadratic nonlinearity. The snap systemdisplays chaotic attractors,which are controlled easily by changing a system parameter. By using analysis, simulations and a real circuit, the dynamics of such a snap system has been investigated. We also investigate backstepping based adaptive control schemes for the new snap system with unknown parameters.
In the recent years, chaotic systems with uncountable equilibrium points such as chaotic systems with line equilibrium and curve equilibrium have been studied well in the literature. This reports a new 3-D chaotic system with an axe-shaped curve of equilibrium points. Dynamics of the chaotic system with the axe-shaped equilibrium has been studied by using phase plots, bifurcation diagram, Lyapunov exponents and Lyapunov dimension. Furthermore, an electronic circuit implementation of the new chaotic system with axe-shaped equilibrium has been designed to check its feasibility. As a control application, we report results for the synchronization of the new system possessing an axe-shaped curve of equilibrium points.
Socio-Economic Effects of the Spatial Chaos for the Settlement Systems and Functional Land Use Structure. The aim of the study is an attempt to estimate, on the basis of literature and own analyzes, how costs are related to spatial chaos, i.e. mainly dispersion of settlement. Mainly residential (housing) settlement was addressed, which contributes the most to the defective structure of the entire settlement. In particular, the analysis uses several concentration indicators and graphical methods, including the so-called minimal spanning tree (MST). Analyzes have shown that costs can amount to several dozen billion zlotys a year, resulting due to the lack of utilities, unsatisfactory condition of public infrastructure, morphological and functional chaos, excessive location of buildings in agricultural areas, oversupply of investment land with low location potential and as a result of low economic efficiency and effectiveness of settlement.
Costs of Spatial Disorder for the Real Estate Market. The article discusses the problem of costs which the spatial disorder in Poland causes in the real estate market. It also draws attention to the likely future consequences of the current lack of spatial order for the domestic real estate market. The impact of spatial chaos on the functioning of this market was considered in terms of economic, social and environmental costs. In the empirical part of the paper, analyzing land turnover in the Poznań agglomeration, the characteristics of the undeveloped real estate market in metropolitan areas in Poland were presented. At the same time, the negative effects of land trading in the situation of a flawed spatial planning system were emphasized. In addition, particular attention was paid to the common practice in Poland of excluding only part of the investment plots from agricultural use. At the same time, the urgent need to create the mechanisms of the actual protection of agricultural land within the agglomeration is emphasized.
Transport and Space in Socio-Economic Life. This paper deals with key issues arising when transport is confronted with chaotic socio-economic environments. Nowadays especially urbanised areas are facing some crucial issues concerning urban planning under conditions of spatial chaos. Transport, having an important role in connecting the space of social and economic life, is a mean to reduce spatial chaos but is also subjected to the impacts chaotic socio-economic forces have. Within this research the interrelation between transport and disordered environment in which transport has to operate is addressed in regard to: transport infrastructure investment planning, traffic congestion management, transport accessibility, accidents and transport safety and impact of transport on the environment. It is the expected role of transport system to reduce chaos, especially in urban areas. But to what degree transport is actually fulfilling this task? In fact in many places badly organized transport might add to the problem instead of solving it. The effect the chaotic spatial organisation has on transport accessibility influences daily economic and social activity of people. Specifically there are numerous cost drivers activated by chaotic transport development resulting mainly in higher costs of moving people and goods, negative impact on value of time in transport processes, direct costs involved like more intensive fuel and material consumption or heightened depreciation of vehicles. Transport could be also perceived as a source of many significant external effects for society and environment, which entails valid environmental costs. The list of transport external effects is relatively long. This is due to the fact that transport is also one of the most important sectors of the modern industrialized economy and modern society. Poorly planned transport system adds to the already chaotic socio-economic setup. This is especially visible in cities where different layers of chaos can interfere and create dangerous synergies. Due to the lack of adequate space management, and this is the case in the discussed spatial chaos, environmental and social externalities are growing, which leads to higher social costs, which every citizen pays for in the final bill. On the other hand well planned transport system should help to curb chaotic socio-economic environment. Thus the key problem analysed in this paper is whether and how transport system could be an ordering force planned and enforced in effective way in order to reduce chaos created by other activities or rather an additional negative effect within the whole spectrum of chaos drivers.
The chaotic phenomena of coronary artery systems are hazardous to health and may induce illness development. From the perspective of engineering, the potential harm can be eliminated by synchronizing chaotic coronary artery systems with a normal one. This paper investigates the chaos synchronization problem in light of the methodology of sliding mode control (SMC). Firstly, the nonlinear dynamics of coronary artery systems are presented. Since the coronary artery systems suffer from uncertainties, the technique of derivative-integral terminal SMC is employed to achieve the chaos synchronization task. The stability of such a control system is proven in the sense of Lyapunov. To verify the feasibility and effectiveness of the proposed method, some simulation results are illustrated in comparison with a benchmark.
A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
The Bulletin of the Polish Academy of Sciences: Technical Sciences (Bull.Pol. Ac.: Tech.) is published bimonthly by the Division IV Engineering Sciences of the Polish Academy of Sciences, since the beginning of the existence of the PAS in 1952. The journal is peer‐reviewed and is published both in printed and electronic form. It is established for the publication of original high quality papers from multidisciplinary Engineering sciences with the following topics preferred: Artificial and Computational Intelligence, Biomedical Engineering and Biotechnology, Civil Engineering, Control, Informatics and Robotics, Electronics, Telecommunication and Optoelectronics, Mechanical and Aeronautical Engineering, Thermodynamics, Material Science and Nanotechnology, Power Systems and Power Electronics. Journal Metrics: JCR Impact Factor 2018: 1.361, 5 Year Impact Factor: 1.323, SCImago Journal Rank (SJR) 2017: 0.319, Source Normalized Impact per Paper (SNIP) 2017: 1.005, CiteScore 2017: 1.27, The Polish Ministry of Science and Higher Education 2017: 25 points. Abbreviations/Acronym: Journal citation: Bull. Pol. Ac.: Tech., ISO: Bull. Pol. Acad. Sci.-Tech. Sci., JCR Abbrev: B POL ACAD SCI-TECH Acronym in the Editorial System: BPASTS.
J.L. Hindmarsh, R.M. Rose introduced the concept of neuronal burst. In this paper, synchronization is investigated for the construction of a model of neuronal burst using backstepping control with recursive feedback. Synchronization for a model of neuronal bursting system is established using Lyapunov stability theory. The backstepping scheme is a recursive procedure that links the choice of a Lyapunov function with the design of a controller. The backstepping control method is effective and convenient to synchronize identical systems. Numerical simulations are furnished to illustrate and validate the synchronization result derived in this paper.