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Search Results: 1 - 10 of 1715 matches for " Chaos "
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Two types of systems and three types of paradigms in systems philosophy and system science  [PDF]
Valery M. Eskov, Valery V. Eskov, Olga E. Filatova, Michael A. Filatov
Journal of Biomedical Science and Engineering (JBiSE) , 2012, DOI: 10.4236/jbise.2012.510075
Abstract: Now it is evident that nature and society have a great number of special systems which very differ from traditional objects (systems) of physics, chemists and engineering. For such special (synergetic-chaotic) systems we are proposed the special third paradigm and construct five basic properties of (unique) systems and on 13 differences in the methods, basic concepts about such systems. The introduction of such basic properties and differences are presented in the article. We postulate the humanity evolution, dynamic of social and political systems, biosphere of Earth, the human organism and his functional systems and many other systems (Universe at all) have all five such properties and must be described according to special synergetic paradigm. Now the authors presents all these special properties and the special table where the differences between deterministic-stochastic systems (and its theoretical approaches) and the synergetic systems (complexity, self-organization systems) were presented more conveniently.
Quantitative Registration of the Degree of the Voluntariness and Involuntariness (of the Chaos) in Biomedical Systems  [PDF]
Valery M. Eskov, Alexander A. Khadartsev, Valery V. Eskov, Olga E. Filatova
Journal of Analytical Sciences, Methods and Instrumentation (JASMI) , 2013, DOI: 10.4236/jasmi.2013.32008

What does it mean: certainty and uncertainty, chaos and order? The understanding of such definition and real interpretation of chaotic behavior the third type of systems in nature was presented. The practical realization of different medical problems was presented too.

Statistical Modelling of Soybean Crop Yield in Regions of Central India through Mathematical and Computational Approach  [PDF]
Sarvraj Singh, Dilpreet Tuteja, Param Tripathi, Chirag Basavaraj
American Journal of Computational Mathematics (AJCM) , 2014, DOI: 10.4236/ajcm.2014.45035
Abstract: In this paper, we have discussed a number of fitting methods to predict crop yield of soybean depending on the nature of environment and a comparison is done between them on the basis of available data set. Later we have suggested a suitable method for the prediction of the crop yield on the basis of residual (error) terms. Statistical analysis is also used for getting the relationships between different components (variables) of available data set. At last, we have discussed about Chaos that can distort the whole mathematical analysis and a computational approach.
The Taylor Rule and the Sandpile: The Taylor Contribution and Other Matters  [PDF]
Juan L. Valderrábano López, Miguel A. Alonso Neira
Open Journal of Modelling and Simulation (OJMSi) , 2017, DOI: 10.4236/ojmsi.2017.54014
Abstract: The author of the Taylor Rule has provided new evidence about the application of the Sandpile model to his rule. The same findings of the Sandpile model are described in the Taylor paper in agreement with the conclusions of the Sandpile model. That is, that keeping interest rates too low for too long penalizes the economic recovery. On top of that the Sandpile also provides a metric for the severity of the crisis. The same law (Power Law) applies to the size and the duration of the crisis just modifying the order of the distribution paving thus a way for measuring the size of the crisis. According to the NBER data, the length is already determined for the US crisis, if the model holds on, we can also assess the severity.
Chaos Rules Revisited
David Murphy
International Review of Research in Open and Distance Learning , 2011,
Abstract: About 20 years ago, while lost in the midst of my PhD research, I mused over proposed titles for my thesis. I was pretty pleased with myself when I came up with Chaos Rules (the implied double meaning was deliberate), or more completely, Chaos Rules: An Exploration of the Work of Instructional Designers in Distance Education. I used the then-emerging theories of chaos and complexity to underpin my analysis. So it was with more than a little excitement that I read the call for contributions to this special issue of IRRODL. What follows is a walk-through of my thesis with an emphasis on the contribution of chaos and complexity theory.
Complex Dynamics Analysis for Cournot Game with Bounded Rationality in Power Market  [PDF]
Hongming Yang, Yongxi Zhang
Journal of Electromagnetic Analysis and Applications (JEMAA) , 2009, DOI: 10.4236/jemaa.2009.11009
Abstract: In order to accurately simulate the game behaviors of the market participants with bounded rationality, a new dynamic Cournot game model of power market considering the constraints of transmission network is proposed in this paper. The model is represented by a discrete differential equations embedded with the maximization problem of the social benefit of market. The Nash equilibrium and its stability in a duopoly game are quantitatively analyzed. It is found that there are different Nash equilibriums with different market parameters corresponding to different operating conditions of power network, i.e., congestion and non-congestion, and even in some cases there is not Nash equilibrium at all. The market dynamic behaviors are numerically simulated, in which the periodic or chaotic behaviors are focused when the market parameters are beyond the stability region of Nash equilibrium.
Signature of chaos in the semi quantum behavior of a classically regular triple well heterostructure  [PDF]
Tiokeng Olivier Lekeufack, Serge Bruno Yamgoue, Timoleon Crepin Kofane
Natural Science (NS) , 2010, DOI: 10.4236/ns.2010.23024
Abstract: We analyze the phenomenon of semiquantum chaos in the classically regular triple well model from classical to quantum. His dynamics is very rich because it provides areas of regular be-havior, chaotic ones and multiple quantum tun-neling depending on the energy of the system as the Planck’s constant varies from 0 to 1. The Time Dependent Variational Principle TDVP using generalized Gaussian trial wave function, which, in many-body theory leads to the Hartree Fock Approximation TDHF, is added to the tech-niques of Gaussian effective potentials and both are used to study the system. The extended classical system with fluctuation variables non- linearly coupled to the average variables exhibit energy dependent transitions between regular behavior and semi quantum chaos monitored by bifurcation diagram together with some numerical indicators.
The Failure of Economic Theory. Lessons from Chaos Theory  [PDF]
Marisa Faggini, Anna Parziale
Modern Economy (ME) , 2012, DOI: 10.4236/me.2012.31001
Abstract: The crisis that was being shaken the world economy should push economists to wonder about the approach used to analyse economic phenomena. The motivations that have generated it, describing a whole of interdependencies, interacttions, are clear and convincing. But a question remains: if the situation is so clear a posterior why economists have not been able to foresee it? What is happening to economic science if it is not able to recognize an economic crisis before it “steps on it“? How is it possible that the economic science was caught off guard yet again? Besides, what is the implication for the status of economics as a science if it is not able to successfully deal with real economic problems? The aim of the paper is to show the weakness of traditional economic theory and what improvements in terms of description and foresight could be obtained applying chaos theory to the study of economic phenomena.
Image Encryption Based on the General Approach for Multiple Chaotic Systems  [PDF]
Qais H. Alsafasfeh, Aouda A. Arfoa
Journal of Signal and Information Processing (JSIP) , 2011, DOI: 10.4236/jsip.2011.23033
Abstract: In the recent years, researchers developed image encryption methods based on chaotic systems. This paper proposed new image encryption technique based on new chaotic system by adding two chaotic systems: the Lorenz chaotic system and the Rössler chaotic system. The main advantage of this technique is stronger security, as is shown in the encryption tests.
Control Chaos in System with Fractional Order  [PDF]
Yamin Wang, Xiaozhou Yin, Yong Liu
Journal of Modern Physics (JMP) , 2012, DOI: 10.4236/jmp.2012.36067
Abstract: In this paper, by utilizing the fractional calculus theory and computer simulations, dynamics of the fractional order system is studied. Further, we have extended the nonlinear feedback control in ODE systems to fractional order systems, in order to eliminate the chaotic behavior. The results are proved analytically by stability condition for fractional order system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.
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