Yi Lin

As suggested by the title of this book, I will present a collection of coherently related applications and a theoretical development of a general systems theory. Hopefully, this book will invite all readers to sample an exciting and challenging (even fun!) piece of interdisciplinary research, that has characterized the scientific and technological achievements of the twentieth century. And, I hope that many of them will be motivated to do additional reading and to contribute to topics along the lines described in the following pages. Since the applications in this volume range through many scientific disciplines, from sociology to atomic physics, from Einstein’s relativity theory to Dirac’s quan tum mechanics, from optimization theory to unreasonable effectiveness of mathe matics to foundations of mathematical modeling, from general systems theory to Schwartz’s distributions, special care has been given to write each application in a language appropriate to that field. That is, mathematical symbols and abstractions are used at different levels so that readers in various fields will find it possible to read. Also, because of the wide range of applications, each chapter has been written so that, in general, there is no need to reference a different chapter in order to understand a specific application. At the same time, if a reader has the desire to go through the entire book without skipping any chapter, it is strongly suggested to refer back to Chapters 2 and 3 as often as possible.

A Mathematical Approach

General Systems Theory

Yong Wu

This book summarizes the main scientific achievements of the blown-up theory of evolution science, which was first seen in published form in 1994. It explores — using the viewpoint and methodology of the blown-up theory — possible generalizations of Newtonian particle mechanics and computational schemes, developed on Newton's and Leibniz's calculus, as well as the scientific systems and the corresponding epistemological propositions, introduced and polished in the past three hundred years. The authors briefly explain the fundamental concepts, then analyze a series of topics and problems of the current, active research widely carried out in the natural sciences. Along the lines of the analyses, they introduce new points of view and the corresponding methods. Also, they point out that the blown-up theory originated from the idea of mutual slavings of materials' structures so that “numbers are transformed into forms”. This discovery reveals that nonlinearity is not a problem solvable in the first-push system, and that the materials' property of rotation is not only an epistemology but also a methodology. The authors then point to the fact that nonlinearity is a second stir of mutual slavings of materials. Contents: Nonlinearity: The Conclusion of CalculusBlown-Up Theory: The Beginning of the Era of DiscontinuityPuzzles of the Fluids ScienceQuestions About Nonlinear Macro-Evolution TheoryProblems Existing in Theories of Microscopic EvolutionsSome Problems Existing in the Field TheoryDifficulties Facing the Dynamics of Nonlinear Chemical ReactionsNonlinearity and Problems on Theories of Ecological EvolutionsNonlinearity and the Blown-Up Theory of Economic Evolution Systems Readership: Undergraduates and scientists, as well as general readers interested in popular science, nonlinear science or general mathematics. Keywords:Reviews:“In the book a lot of examples in several situations are given, complemented by historical excursions and critical remarks.”Zentralblatt MATH

Blown-Ups, Spinning Currents and Modern Science

Beyond Nonstructural Quantitative Analysis

Sifeng Liu

Grey Information: Theory and Practical Applications is a crystallization of the authors' work over the last twenty-five years. The book covers the latest advances in grey information and systems research, providing a state-of-the-art overview of this important field. Covering the theoretical foundation, fundamental methods and main topics in grey information and systems research, this book includes all the elementary concepts: basic principles, grey numbers and their operations, grey equations and matrices, operators of sequences and generations of grey sequences, grey incidence analysis, grey clusters and grey statistical evaluations, grey systems modeling, grey combined models, grey prediction, grey decisions, grey programming, grey input and output and grey controls, etc. The book will be of interest to advanced students and researchers in a wide range of fields including information and systems sciences and management sciences, and to those working in applied areas such as geo-science, engineering, agriculture, medicine, biosciences and others.

Theory and Practical Applications

Grey Information

Li Da Xu

Xiaojun Duan

Chengli Zhao

By making use of the principles of systems science, the scientific community can explain many complicated matters of the world and shed new light on unsettled problems. Each real science has its own particular methodology for not only qualitative but also quantitative analyses, so it is important to understand the organic whole of systems research with operable mathematical methods. Systems Science: Methodological Approaches presents a mathematical explanation of systems science, giving readers a complete technical formulation of different systemic laws. It enables them to use a unified methodology to attack different problems that are hard, if not impossible, for modern science to handle. Following a brief history of systems science, the book explores: Basic concepts, characteristics, properties, and classifications of general systems Nonlinear systems dynamics and the theory of catastrophe Dissipative structures and synergistics Studies of chaos, including logistic mapping, phase space reconstruction, Lyapunov exponents, and chaos of general single relation systems Different aspects and concepts of fractals, including a presentation of L systems analysis and design Complex systems and complexity, with a discussion of how the phenomena of "three" and complexity are related, and how various cellular automata can be constructed to generate useful simulations and figurative patterns Complex adaptive systems and open complex giant systems, with introduction of the yoyo model and practical applications Complex networks and related concepts and methods The book concludes with several case studies that demonstrate how various concepts and the logic of systems can be practically applied to resolve real-life problems, such as the prediction of natural disasters. The book will be useful in directing future research and applications of systems science on a commonly accepted platform and playground.

Methodological Approaches

Systems Science

Marta Massi

Marilena Vecco

This research-based book investigates the effects of digital transformation on the cultural and creative sectors. Through cases and examples, the book examines how artists and art institutions are facing the challenges posed by digital transformation, highlighting both positive and negative effects of the phenomenon. With contributions from an international range of scholars, the book examines how digital transformation is changing the way the arts are produced and consumed. As relative late adopters of digital technologies, the arts organizations are shown to be struggling to adapt, as issues of authenticity, legitimacy, control, trust, and co-creation arise. Leveraging a variety of research approaches, the book identifies managerial implications to render a collection that is valuable reading for scholars involved with arts and culture management, the creative industries and digital transformation more broadly.

Production, Consumption and Entrepreneurship in the Digital and Sharing Economy

Digital Transformation in the Cultural and Creative Industries

A Novel Method to Analyze Problems and Encourage Systemic Thinking Real-Life Case Studies Illustrate the Application of the Systemic Yoyo Model in Diverse Areas Written by the co-creator of the systemic yoyo model, Systemic Yoyos: Some Impacts of the Second Dimension shows how the yoyo model and its methodology can be employed to study many unsettled or extremely difficult problems in modern science and technology. The first part of the book presents the theoretical foundation of the yoyo model and its empirical justifications. The author then shows how to use the model to address and resolve several problems in scientific areas, such as Newtonian physics, planetary motions, and the three-body problem, as well as economics and finance, such as Becker’s rotten kid theorem. The following part discusses the structure of human thoughts, infinity problems in the system of modern mathematics, and the fourth crisis of mathematics. The book concludes with a section on the concept of rolling currents, which can help predict weather changes, especially the arrival of disastrous weather conditions. Focusing on complex, unresolved issues in modern science, this book thoroughly explains the novel yoyo model and how it can be used to better understand wage differentials, weather patterns, and more.

Some Impacts of the Second Dimension

Systemic Yoyos

Zhigeng Fang

Hongxing Shi

To make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Game Theory and Its Applications in Economic Decision Making introduces classic game theory into the realm of grey system theory with limited knowledge. The book resolves three theoretical issues: A game equilibrium of grey game A reasonable explanation for the equilibrium of a grey matrix of static nonmatrix game issues based on incomplete information The Centipede Game paradox, which has puzzled theory circles for a long time and greatly enriched and developed the core methods of subgame Nash perfect equilibrium analysis as a result The book establishes a grey matrix game model based on pure and mixed strategies. The author proposes the concepts of grey saddle points, grey mixed strategy solutions, and their corresponding structures and also puts forward the models and methods of risk measurement and evaluation of optimal grey strategies. He raises and solves the problems of grey matrix games. The book includes definitions of the test rules of information distortion experienced during calculation, the design of tokens based on new interval grey numbers, and new arithmetic laws to manipulate grey numbers. These features combine to provide a practical and efficient tool for forecasting real-life economic problems.

Yi Lin

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