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 #  AuthorTitleAccn#YearItem Type Claims
1 Tenreiro Machado, J. A Mathematical Topics on Modelling Complex Systems I12410 2022 Book  
2 Volchenkov, Dimitri Mathematical Methods in Modern Complexity Science I12384 2022 Book  
3 Volchenkov, Dimitri Nonlinear Dynamics, Chaos, and Complexity I11695 2021 eBook  
4 Volchenkov, Dimitri Survival under Uncertainty I10392 2016 eBook  
5 Blanchard, Philipp Random Walks and Diffusions on Graphs and Databases I07722 2011 eBook  
6 Blanchard, Philippe Mathematical Analysis of Urban Spatial Networks I06252 2009 eBook  
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TitleMathematical Topics on Modelling Complex Systems : In Memory of Professor Valentin Afraimovich
Author(s)Tenreiro Machado, J. A;Volchenkov, Dimitri
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionX, 184 p. 64 illus., 54 illus. in color : online resource
Abstract NoteThis book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal???semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection???diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners
ISBN,Price9789811641695
Keyword(s)1. Applications of Mathematics 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICS 7. SYSTEM THEORY
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2.     
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TitleMathematical Methods in Modern Complexity Science
Author(s)Volchenkov, Dimitri;Tenreiro Machado, J. A
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 197 p. 94 illus., 69 illus. in color : online resource
Abstract NoteThis book presents recent developments in nonlinear and complex systems. It provides recent theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers information theory, relativistic chaotic dynamics, data analysis, relativistic chaotic dynamics, solvability issues in integro-differential equations, and inverse problems for parabolic differential equations, synchronization and chaotic transient. Presents new concepts for understanding and modeling complex systems
ISBN,Price9783030794125
Keyword(s)1. Applied Dynamical Systems 2. Computational Intelligence 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. Mathematical and Computational Engineering Applications 9. MATHEMATICAL PHYSICS 10. NONLINEAR THEORIES
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3.     
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TitleNonlinear Dynamics, Chaos, and Complexity : In Memory of Professor Valentin Afraimovich
Author(s)Volchenkov, Dimitri
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionVIII, 198 p. 66 illus., 23 illus. in color : online resource
Abstract NoteThis book demonstrates how mathematical methods and techniques can be used in synergy and create a new way of looking at complex systems. It becomes clear nowadays that the standard (graph-based) network approach, in which observable events and transportation hubs are represented by nodes and relations between them are represented by edges, fails to describe the important properties of complex systems, capture the dependence between their scales, and anticipate their future developments. Therefore, authors in this book discuss the new generalized theories capable to describe a complex nexus of dependences in multi-level complex systems and to effectively engineer their important functions. The collection of works devoted to the memory of Professor Valentin Afraimovich introduces new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to molecular biology, genetics, neurosciences, artificial intelligence as well as classic problems in physics, machine learning, brain and urban dynamics. The book can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, urban planners, and even musicians (with some mathematical background).
ISBN,Price9789811590344
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Mechanics, Applied 6. Multibody systems 7. Multibody Systems and Mechanical Vibrations 8. NONLINEAR OPTICS 9. SYSTEM THEORY 10. VIBRATION
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I11695     On Shelf    

4.     
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TitleSurvival under Uncertainty : An Introduction to Probability Models of Social Structure and Evolution
Author(s)Volchenkov, Dimitri
PublicationCham, Springer International Publishing, 2016.
DescriptionXIV, 238 p. 55 illus., 44 illus. in color : online resource
Abstract NoteThis book introduces and studies a number of stochastic models of subsistence, communication, social evolution and political transition that will allow the reader to grasp the role of uncertainty as a fundamental property of our irreversible world. At the same time, it aims to bring about a more interdisciplinary and quantitative approach across very diverse fields of research in the humanities and social sciences. Through the examples treated in this work ??? including anthropology, demography, migration, geopolitics, management, and bioecology, among other things ??? evidence is gathered to show that volatile environments may change the rules of the evolutionary selection and dynamics of any social system, creating a situation of adaptive uncertainty, in particular, whenever the rate of change of the environment exceeds the rate of adaptation. Last but not least, it is hoped that this book will contribute to the understanding that inherent randomness can also be a great opportunity ??? for social systems and individuals alike ??? to help face the challenge of ???survival under uncertainty???
ISBN,Price9783319394213
Keyword(s)1. COMPLEXITY 2. COMPUTATIONAL COMPLEXITY 3. Data-driven Science, Modeling and Theory Building 4. EBOOK 5. EBOOK - SPRINGER 6. ECONOPHYSICS 7. Philosophy and social sciences 8. Philosophy of the Social Sciences 9. Science???Social aspects 10. Social inequality 11. Social structure 12. Social Structure, Social Inequality 13. Societal Aspects of Physics, Outreach and Education 14. Sociophysics
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I10392     On Shelf    

5.     
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TitleRandom Walks and Diffusions on Graphs and Databases : An Introduction
Author(s)Blanchard, Philipp;Volchenkov, Dimitri
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2011.
DescriptionXIV, 262 p : online resource
Abstract NoteMost networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks
ISBN,Price9783642195921
Keyword(s)1. Applications of Graph Theory and Complex Networks 2. COMPLEX MANIFOLDS 3. COMPLEXITY 4. COMPUTATIONAL COMPLEXITY 5. Data structures (Computer science) 6. Data Structures and Information Theory 7. EBOOK 8. EBOOK - SPRINGER 9. Manifolds (Mathematics) 10. Manifolds and Cell Complexes (incl. Diff.Topology) 11. PHYSICS
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I07722     On Shelf    

6.    
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TitleMathematical Analysis of Urban Spatial Networks
Author(s)Blanchard, Philippe;Volchenkov, Dimitri
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2009.
DescriptionXIV, 184 p. 123 illus., 16 illus. in color : online resource
Abstract NoteCities can be considered to be among the largest and most complex artificial networks created by human beings. Due to the numerous and diverse human-driven activities, urban network topology and dynamics can differ quite substantially from that of natural networks and so call for an alternative method of analysis. The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan. Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers
ISBN,Price9783540878292
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. ARCHITECTURE 4. Cities, Countries, Regions 5. COMPLEX SYSTEMS 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. ENGINEERING MATHEMATICS 10. Human geography 11. Landscape/Regional and Urban Planning 12. Regional planning 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems 15. Urban planning
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I06252     On Shelf    

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