Emergent Phenomena in Complex Systems

Bíla, Jiří

doi:10.1007/978-3-319-97888-8_23

Cited by 6 publications

(23 citation statements)

References 15 publications

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“…As a kernel for new mathematics, Stewart has named dynamic systems, chaos, and violence of symmetries, fractals, and cellular automata. We deal with the two in this article (Dynamic Systems and Chaos) and violence of symmetries we discussed at work [4]. We also agree on the goals of our efforts.…”

Section: Related Workmentioning

confidence: 86%

“…In technical part of our paper we will interconnect two fields: Theory of Matroids and [13] and Ramsey Theory of Graph [14]. We have used this synthesis as a methodological route many times, e.g., in [4] [5] [6] and it is still interesting how strong and surprising it is. A few sentences about our approach:…”

Section: Preliminariesmentioning

confidence: 99%

“…Note (4). After development of some basic concepts as "Interpretation Reference Context" we could turn back to Fig.…”

Section: Interpretation Of States Structures In the Control Of Develomentioning

confidence: 99%

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Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes

Bíla¹

2018

mendel

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This article focuses on the exploration of spaces and models in which we describe the behavior of complex systems as special shapes. We understand these shapes both as a configuration of properties and their values, and on the other, as the formation of symbols and their manifestations. The article discusses three basic types of shapes: formulae, approximations and qualitative shapes. Their analysis then arrives at the capacities of the spaces to display these shapes. The central tool of analysis is the combination of Matroid Theory and Ramsey theory of graph. By systematical analysis of formulae we get the concepts of additional variables and their number. We use basic relations based on the terms matroid, its base, and Ramsey numbers. These relations are then generalized to the field of approximations and qualitative shapes. The article points to the possibilities of expanding the spaces of properties including those that are not available by measurement but are detectable as emergences.

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Section: Related Workmentioning

confidence: 86%

Section: Preliminariesmentioning

confidence: 99%

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Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes

Bíla¹

2018

mendel

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“…Problems and introduction to theory of complex systems are, e.g., in [2], [3]. Mathematical background needed for this paper is in [6], [8], [9], [13], [22].…”

Section: Related Workmentioning

confidence: 99%

“…HW is considered as an emergent situation (EMS). In works [2,3,4] was presented a theory for which is not place here.…”

Section: Detection Of Possible Appearance Of Heat Waves As An Emergenmentioning

confidence: 99%

Application of Fuzzy Logic for Monitoring of Appearance of Heat Waves in Large Towns

Bíla¹,

Jura²,

Novák³

2018

mendel

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In the paper are introduced some results of the influence of cooling effect of vegetation on the climate in large towns. The results have been acquired from measurement of some meteorological variables in selected parts of large town and from application of fuzzy models on the prediction of maximum day temperature. Great motivation of the paper is not only course of maximum temperature in standard days but especially the more dramatic situations as is appearance of Heat Waves. Besides the selection of relevant variables and the design of knowledge based system (with application) is performed an approximation operation for knowledge based systém function taking into account the conditions throughout the city.

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Modeling of complex ecosystems, extension of deserts and violation of the short water cycle

Bíla

Pokorný²

2021

Ecological Modelling

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Emergent Phenomena in Complex Systems

Cited by 6 publications

References 15 publications

Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes

Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes

Application of Fuzzy Logic for Monitoring of Appearance of Heat Waves in Large Towns

Modeling of complex ecosystems, extension of deserts and violation of the short water cycle

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