Dynamics and Thermodynamics in Hierarchically Organized Systems
Dynamics and Thermodynamics in Hierarchically Organized Systems

Author: P. Auger

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 223

ISBN-13: 1483287270

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One of the most fundamental and efficient ways of conceptualizing complex systems is to organize them hierarchically. A hierarchically organized system is represented by a network of interconnected subsystems, each of which has its own network of subsystems, and so on, until some elementary subsystems are reached that are not further decomposed. This original and important book proposes a general mathematical theory of a hierarchical system and shows how it can be applied to very different topics such as physics (Hamiltonian systems), biology (coupling the molecular and the cellular levels), ecology (coupling the individual, population and ecosystem), and economics (coupling the sectoral, regional and national levels). The first attempt to develop mathematical frameworks for conceptualizing such systems only appeared in the early 1970s, and it took another decade before these mathematical frameworks were applied to various specific contexts of the sciences of the natural. Much of this work has been pioneered by the author, and he presents a more thorough work which will have a major impact on shifting current thinking in the sciences of the natural to a more holistic basis in which several levels of hierarchically organized systems are viewed in an integrated fashion.

Collective Beings
Collective Beings

Author: Gianfranco Minati

Publisher: Springer Science & Business Media

Published: 2006-12-26

Total Pages: 474

ISBN-13: 0387359419

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This book offers an overview on the background to systemics. It introduces the concept of Collective Being as a Multiple System established by processes of emergence and self-organization of the same agents simultaneously or dynamically interacting in different ways. The principles underlying this approach are grounded on the theoretical role of the observer. This view allows to model in a more suitable way complex systems, such as in physics, biology and economics.

Cybernetics and Applied Systems
Cybernetics and Applied Systems

Author: Constantin Virgil Negoita

Publisher: CRC Press

Published: 2018-10-08

Total Pages: 375

ISBN-13: 1482277182

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In light of the enormous interest in building intelligent systems, this volume blends theory, applications, and methodology of cybernetics taking it out of the realm of the abstract and explaining how cybernetics can contribute to an improved understanding of intelligence. Among the topics of the 17

Structured Population Models in Biology and Epidemiology
Structured Population Models in Biology and Epidemiology

Author: Pierre Magal

Publisher: Springer Science & Business Media

Published: 2008-04-30

Total Pages: 314

ISBN-13: 3540782729

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In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Paradigms Of Complexity: Fractals And Structures In The Sciences
Paradigms Of Complexity: Fractals And Structures In The Sciences

Author: Miroslav M Novak

Publisher: World Scientific

Published: 2000-04-18

Total Pages: 322

ISBN-13: 9814542946

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Every reader will find something of interest in this book — from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments. The all-pervading link connecting these disparate disciplines is the realization that a linear approach to the majority of natural processes is at best only an approximation that can frequently be downright misleading. Consequently, the rise of what is broadly called the theory of complexity has gained tremendous momentum in the last decade or two. This modern approach aims at, and frequently succeeds in, correctly explaining many natural processes.The papers in this volume are based on presentations of the sixth international conference exploring the above-mentioned issues. These conferences are now regular and well established among the nonlinear series of conferences. This conference series is organized in different geographical regions, to encourage international collaboration. Among the distinguishing features of the series is its multidisciplinary nature, which has been growing steadily.

Memory Evolutive Systems; Hierarchy, Emergence, Cognition
Memory Evolutive Systems; Hierarchy, Emergence, Cognition

Author: A C Ehresmann

Publisher: Elsevier

Published: 2007-05-25

Total Pages: 403

ISBN-13: 0080555411

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Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. - Comprehensive and comprehensible coverage of Memory Evolutive System - Written by the developers of the Memory Evolutive Systems - Designed to explore the common language between sciences

Facets of Systems Science
Facets of Systems Science

Author: George J. Klir

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 728

ISBN-13: 1461513316

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This book has a rather strange history. It began in spring 1989, thirteen years after our Systems Science Department at SUNY-Binghamton was established, when I was asked by a group of students in our doctoral program to have a meeting with them. The spokesman of the group, Cliff Joslyn, opened our meeting by stating its purpose. I can closely paraphrase what he said: "We called this meeting to discuss with you, as Chairman of the Department, a fundamental problem with our systems science curriculum. In general, we consider it a good curriculum: we learn a lot of concepts, principles, and methodological tools, mathematical, computational, heu ristic, which are fundamental to understanding and dealing with systems. And, yet, we learn virtually nothing about systems science itself. What is systems science? What are its historical roots? What are its aims? Where does it stand and where is it likely to go? These are pressing questions to us. After all, aren't we supposed to carry the systems science flag after we graduate from this program? We feel that a broad introductory course to systems science is urgently needed in the curriculum. Do you agree with this assessment?" The answer was obvious and, yet, not easy to give: "I agree, of course, but I do not see how the situation could be alleviated in the foreseeable future.

Operations Research
Operations Research

Author: Jay E. Aronson

Publisher: IAP

Published: 2009-04-01

Total Pages: 393

ISBN-13: 1607529254

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Drawn from a conference honoring Gerald L. Thompson, the pioneer of operations research, this volume brings together some of the latest writings of major figures in the field. The volume is divided into four parts: the first part reviews the career and significance of Thompson, the second concentrates on linear and nonlinear optimization, the third looks at network and integer programming, and the fourth provides examples of applications-oriented research in manufacturing. This volume will be an invaluable resource for all scholars and researchers involved in theory and methodology in operations research and management science.

Self-Modifying Systems in Biology and Cognitive Science
Self-Modifying Systems in Biology and Cognitive Science

Author: G. Kampis

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 564

ISBN-13: 0080912397

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The theme of this book is the self-generation of information by the self-modification of systems. The author explains why biological and cognitive processes exhibit identity changes in the mathematical and logical sense. This concept is the basis of a new organizational principle which utilizes shifts of the internal semantic relations in systems. There are mathematical discussions of various classes of systems (Turing machines, input-output systems, synergetic systems, non-linear dynamics etc), which are contrasted with the author's new principle. The most important implications of this include a new conception on the nature of information and which also provides a new and coherent conceptual view of a wide class of natural systems. This book merits the attention of all philosophers and scientists concerned with the way we create reality in our mathematical representations of the world and the connection those representations have with the way things really are.