Phenomenon Of Deterministic Chaos Research Articles

Neoplasms – biological phenomenon

Neoplasm is the cause of a double disease of the body, i.e. with two faces (Janus disease), which means both the presence of cancer cells and the secondary disorders of the immune system function caused by them. The second possibility is a temporary decrease in immunity, caused by e.g. influenza, and revealing a neoplastic disease. Neoplasms are induced by both genetic and epigenetic factors (Fig. 1), giving different types of mono- and polyclonal metastases and cross-spreading (Fig. 2). Recently, exosomes have been ascribed an important role in the formation of metastases. They transfer information between normal and cancer cells by horizontal transfer and „teach” myeloid cells to move to the pre-metastatic niche and the metastatic deposit. In carcinogenesis, the main role is played by long-lived cancer stem cells, as well as differentiated cells after they have gained the ability to self-renew, as in stem cells. The paper also presents examples of neoplasms accompanied by a second, primary neoplasm in the same system or in the vicinity. Multiple primary malignances (MPM) associated with them have also been described. With the help of the so-called strange attractor, an attempt was made to describe the behavior of cancers in connection with the phenomenon of deterministic chaos based on the process of entropy. Distinguishing between chaotic and stochastic (random) systems is very difficult in biology.

THE PERFORMANCE OF A STOCHASTIC CORPORATE NETWORK CONTROL SYSTEM

In telecommunications, a particular place belongs to systems with a wideband noise-free signal, the undisputed advantage of which is increased by both narrowband and wideband interference, confidentiality of information transmission, as well as electromagnetic compatibility with adjacent electronic devices. A wideband noise-free signal is formed using a number of known modulated sequences - m-, Kasam-, Gold sequences, typically by direct spreading.Systems using known pseudo-random sequences cannot be considered protected from unauthorized access.An effective way to increase the confidentiality of signal transmission in a noise-free TSC is to use a chaotic signal-based PVP.Pseudorandom sequence generators are based on one-dimensional chaotic reflections such as logistics, quadratic, and cubic. Researches have shown the undeniable advantage of logistical reflection. The construction of hidden communication systems using the deterministic chaos phenomenon is progressive issue nowadays. Several main stages should be carried out for achieving the goal. These are providing of the stability degree of synchronization between the drive and response generators of the transmitter and receiver respectively, investigation of chaotic oscillation to estimate the noise similarity and hardware design of communication system. It is known that the stable synchronization mode is needed for the quality level of data recovery. Therefore the basic conditions were computed for unidirectional coupled chaotic generators for the purpose of providing of generalized synchronization. To construct the communication system with high hiding degree first of all it is necessary to select the chaotic carrier signal the spectral and statistical characteristics of which were similar to noise. Using the obtained results the hardware prototype of hidden communication system was constructed

INFORMATION SECURITY OF THE CHAOTIC COMMUNICATION SYSTEM

In telecommunications, a particular place belongs to systems with a wideband noise-free signal, the undisputed advantage of which is increased by both narrowband and wideband interference, confidentiality of information transmission, as well as electromagnetic compatibility with adjacent electronic devices. A wideband noise-free signal is formed using a number of known modulated sequences - m-, Kasam-, Gold sequences, typically by direct spreading.Systems using known pseudo-random sequences cannot be considered protected from unauthorized access.An effective way to increase the confidentiality of signal transmission in a noise-free TSC is to use a chaotic signal-based PVP.Pseudorandom sequence generators are based on one-dimensional chaotic reflections such as logistics, quadratic, and cubic. Researches have shown the undeniable advantage of logistical reflection. The construction of hidden communication systems using the deterministic chaos phenomenon is progressive issue nowadays. Several main stages should be carried out for achieving the goal. These are providing of the stability degree of synchronization between the drive and response generators of the transmitter and receiver respectively, investigation of chaotic oscillation to estimate the noise similarity and hardware design of communication system. It is known that the stable synchronization mode is needed for the quality level of data recovery. Therefore the basic conditions were computed for unidirectional coupled chaotic generators for the purpose of providing of generalized synchronization. To construct the communication system with high hiding degree first of all it is necessary to select the chaotic carrier signal the spectral and statistical characteristics of which were similar to noise. Using the obtained results the hardware prototype of hidden communication system was constructed

A complete and partial integrability technique of the Lorenz system

Abstract In this paper we deal with the well-known nonlinear Lorenz system that describes the deterministic chaos phenomenon. We consider an interesting problem with time-varying phenomena in quantum optics. Then we establish from the motion equations the passage to the Lorenz system. Furthermore, we show that the reduction to the third order non linear equation can be performed. Therefore, the obtained differential equation can be analytically solved in some special cases and transformed to Abel, Dufing, Painleve and generalized Emden-Fowler equations. So, a motivating technique that permitted a complete and partial integrability of the Lorenz system is presented.

NEW NONLINEAR CHAOS-DYNAMICAL ANALYSIS OF ATMOSPHERIC RADON 222RN CONCENTRATION TIME SERIES FROM BETA PARTICLES ACTIVITY DATA OF RADON MONITORS

The work is devoted to the development of the theoretical foundations of new universal complex chaos-dynamical approach to analysis and prediction of the atmospheric radon 222Rn concentration changing from beta particles activity data of radon monitors (with pair of the Geiger-Müller counters). The approach presented consistently includes a number of new or improved methods of analysis (correlation integral, fractal analysis, algorithms of average mutual information, false nearest neighbors, Lyapunov exponents, surrogate data, non-linear prediction schemes, spectral methods, etc.) to solve problems quantitatively complete modeling and analysis of temporal evolution of the atmospheric radon 222Rn concentration. There are firstly received data on topological and dynamical invariants for the time series of the 222Rn concentration, discovered a deterministic chaos phenomenon using detailed data of measurements of the radon concentrations at SMEAR II station of the Finnish Meteorological Institute.

Схемотехника источников питания для импульсно-дуговой сварки с хаотическими колебаниями тока

Phenomenon of deterministic chaos in nonlinear systems is of interest to researchers first of all for its fundamental aspects. Recently the tendency has changed from fundamental to applied research. Deterministic chaos was found in electrical circuits with a welding arc and its fundamental properties were investigated. The technological advantages of pulsed oscillations in circuits with laser-arc discharge over welding processes were shown earlier. The authors have reason to believe that the application of chaotic oscillations also has a positive effect. Only experimental studies can confirm this assumption. The purpose of this work is to develop promising circuit solutions for specialized power supply with current chaotic oscillations. Application of set-top boxes to the existing power sources to create chaotic oscillations of pulsed current arc has been proposed. The development of circuit design has been based on the results of previous studies of deterministic chaos in RLC-circuits with electric arc. The advantages and disadvantages of various circuits have been discussed in order to select schemes of set-top boxes for the practical implementation.

Exponential power spectra, deterministic chaos and Lorentzian pulses in plasma edge dynamics

Exponential spectra have been observed in the edges of tokamaks, stellarators, helical devices and linear machines. The observation of exponential power spectra is significant because such a spectral character has been closely associated with the phenomenon of deterministic chaos by the nonlinear dynamics community. The proximate cause of exponential power spectra in both magnetized plasma edges and nonlinear dynamics models is the occurrence of Lorentzian pulses in the time signals of fluctuations. Lorentzian pulses are produced by chaotic behavior in the separatrix regions of plasma E × B flow fields or the limit cycle regions of nonlinear models. Chaotic advection, driven by the potential fields of drift waves in plasmas, results in transport. The observation of exponential power spectra and Lorentzian pulses suggests that fluctuations and transport at the edge of magnetized plasmas arise from deterministic, rather than stochastic, dynamics.

Recent developments in the digital approach of symbolic dynamics

PurposeThe purpose of this paper is to explore new mathematical results to advance the understanding of the picture of a chaotic unimodal map.Design/methodology/approachEver since Poicare, deterministic chaos is ultimately connected with exponential divergence of nearby trajectories, unpredictability and erratic behaviour. Here, the authors propose an alternative approach in terms of complexity theory and transcendence.FindingsIn this paper, the authors were able to reproduce previous results easily, due to new theorems.Originality/valueThe paper updates previous results and proposes a more complete understanding of the phenomenon of deterministic chaos, also making possible connections with number theory, combinatorics and possibly quantum mechanics, as in quantum mechanics there does not exist the notion on nearby trajectories.

R. Kerner: Models of Agglomeration and Glass Transition

A significant blurring of boundaries between the dynamic behavior of deterministic systems and those of random systems is one of the major achievements of modern statistical physics. Indeed, the phenomenon of deterministic chaos demonstrates stochastic behavior in nonlinear deterministic systems, while stochastic resonance implies its converse; deterministic phenomena in random systems. In a similar manner, the book here being reviewed softens the difference between crystalline and amorphous configurations through its discussion of “intermediate” self-similar structures. The latter of these are characterized by the property that at different scales similar structures are found which differ from respective atomic structures in crystals, as well as from entirely different structures in amorphous materials. In addition to known glass systems, a new experimental impetus for studying these materials was stimulated by the recent discovery of quasicrystalline lattices and fullerene C60 molecules. Due to the many possible local possible arrangements of these systems one has necessarily to use a statistical rather than a deterministic description to fully describe their properties. As the author states in a lively Introduction reviewing the history and basic features of the large field of condensed matter physics being discussed the main goal of the book is to present a unified and coherent approach to explaining general features of agglomeration and growth of local atomic structures. The novelty of the proposed approach to modeling various atomic structures appears to be in using mathematical models applied in very different fields of physics, exemplified by the theory of dynamical systems and field theory. The approach is sufficiently general to give rise to mathematical models of agglomeration and growth of different structures, including those of quasicrystals, fullerenes and glasses, and for the latter, to discuss phenomenological models of glass transitions. The general properties of atomic and molecular networks are considered in Chapters 2–5, including their topological and stochastic properties, stochastic agglomeration and

Deterministic chaos in the processor load

Abstract In this article we present the results of research whose purpose was to identify the phenomenon of deterministic chaos in the processor load. We analysed the time series of the processor load during efficiency tests of database software. Our research was done on a Sparc Alpha processor working on the UNIX Sun Solaris 5.7 operating system. The conducted analyses proved the presence of the deterministic chaos phenomenon in the processor load in this particular case.

On the mechanism of tearing instability in a quasineutral sheet associated with the phenomenon of deterministic chaos in strongly curved magnetic fields

Strong electron compressibility prevents the development of the tearing instability in plasma formations with strongly curved magnetic fields. However, this stability effect is largely diminished due to the phenomenon of deterministic chaos. This is due to the boundary between the regions of chaotic and regular motion that may work like the cherenkov cone for the potential component of a tearing perturbation.