Higher Order Systems

Author : Federico Battiston,Giovanni Petri
Publisher : Springer
Page : 433 pages
File Size : 49,9 Mb
Release : 2022-05-19
Category : Science
ISBN : 3030913732

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Higher-Order Systems by Federico Battiston,Giovanni Petri Pdf

This book discusses its potential to model real-world systems and how considering their higher-order organization can lead to the emergence of novel dynamical behavior. Over the last decades, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.

Author : Federico Battiston,Giovanni Petri
Publisher : Springer Nature
Page : 436 pages
File Size : 47,6 Mb
Release : 2022-04-26
Category : Science
ISBN : 9783030913748

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Higher-Order Systems by Federico Battiston,Giovanni Petri Pdf

The book discusses the potential of higher-order interactions to model real-world relational systems. Over the last decade, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.

Author : S.A. Toledo
Publisher : Springer
Page : 342 pages
File Size : 55,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540374428

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Tableau Systems for First Order Number Theory and Certain Higher Order Theories by S.A. Toledo Pdf

Author : Feliz Manuel Minhos,Robert De Sousa
Publisher : World Scientific
Page : 243 pages
File Size : 43,6 Mb
Release : 2022-04-11
Category : Mathematics
ISBN : 9789811225147

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Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains by Feliz Manuel Minhos,Robert De Sousa Pdf

Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski? fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carathéodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.

Author : V.L. Kocic,G. Ladas
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 42,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401717038

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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications by V.L. Kocic,G. Ladas Pdf

Nonlinear difference equations of order greater than one are of paramount impor tance in applications where the (n + 1)st generation (or state) of the system depends on the previous k generations (or states). Such equations also appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations which model various diverse phenomena in biology, ecology, physiology, physics, engineering and economics. Our aim in this monograph is to initiate a systematic study of the global behavior of solutions of nonlinear scalar difference equations of order greater than one. Our primary concern is to study the global asymptotic stability of the equilibrium solution. We are also interested in whether the solutions are bounded away from zero and infinity, in the description of the semi cycles of the solutions, and in the existence of periodic solutions. This monograph contains some recent important developments in this area together with some applications to mathematical biology. Our intention is to expose the reader to the frontiers of the subject and to formulate some important open problems that require our immediate attention.

Author : Kazumi Nakamatsu,Roumen Kountchev,Srikanta Patnaik,Jair M. Abe
Publisher : Springer Nature
Page : 445 pages
File Size : 48,5 Mb
Release : 2023-10-28
Category : Technology & Engineering
ISBN : 9789819952038

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Advanced Intelligent Technologies for Information and Communication by Kazumi Nakamatsu,Roumen Kountchev,Srikanta Patnaik,Jair M. Abe Pdf

The book includes new research results of scholars from the Third International Conference on Advanced Intelligent Technologies (ICAIT 2022) organized by IRNet International Academic Communication Center, held during October 28–30, 2022. The book covers research work from active researchers who are working on collaboration of industry and various intelligent technologies such as intelligent technologies applicable/applied to manufacturing and distribution of industrial products, factory automation, and business. The topics included are all computational intelligence techniques applicable/applied to industry, intelligent techniques in data science applicable/applied to business and management, intelligent network systems applicable/applied to industrial production, intelligent technologies applicable to smart agriculture, and intelligent information systems for agriculture.

Author : Jack Young Robertson
Publisher : Unknown
Page : 150 pages
File Size : 42,8 Mb
Release : 1959
Category : Feedback control systems
ISBN : UCAL:C2947853

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Z-plane Graphical Design of Second Order Sampled-data Control Systems by Jack Young Robertson Pdf

Author : Management Association, Information Resources
Publisher : IGI Global
Page : 2075 pages
File Size : 44,7 Mb
Release : 2020-01-03
Category : Technology & Engineering
ISBN : 9781799817550

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Robotic Systems: Concepts, Methodologies, Tools, and Applications by Management Association, Information Resources Pdf

Through expanded intelligence, the use of robotics has fundamentally transformed a variety of fields, including manufacturing, aerospace, medicine, social services, and agriculture. Continued research on robotic design is critical to solving various dynamic obstacles individuals, enterprises, and humanity at large face on a daily basis. Robotic Systems: Concepts, Methodologies, Tools, and Applications is a vital reference source that delves into the current issues, methodologies, and trends relating to advanced robotic technology in the modern world. Highlighting a range of topics such as mechatronics, cybernetics, and human-computer interaction, this multi-volume book is ideally designed for robotics engineers, mechanical engineers, robotics technicians, operators, software engineers, designers, programmers, industry professionals, researchers, students, academicians, and computer practitioners seeking current research on developing innovative ideas for intelligent and autonomous robotics systems.

Author : Jack M. Winters,Savio L-Y. Woo
Publisher : Springer Science & Business Media
Page : 818 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461390305

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Multiple Muscle Systems by Jack M. Winters,Savio L-Y. Woo Pdf

The picture on the front cover of this book depicts a young man pulling a fishnet, a task of practical relevance for many centuries. It is a complex task, involving load transmission throughout the body, intricate balance, and eye head-hand coordination. The quest toward understanding how we perform such tasks with skill and grace, often in the presence of unpredictable pertur bations, has a long history. However, despite a history of magnificent sculptures and drawings of the human body which vividly depict muscle ac tivity and interaction, until more recent times our state of knowledge of human movement was rather primitive. During the past century this has changed; we now have developed a considerable database regarding the com position and basic properties of muscle and nerve tissue and the basic causal relations between neural function and biomechanical movement. Over the last few decades we have also seen an increased appreciation of the impor tance of musculoskeletal biomechanics: the neuromotor system must control movement within a world governed by mechanical laws. We have now col lected quantitative data for a wealth of human movements. Our capacity to understand the data we collect has been enhanced by our continually evolving modeling capabilities and by the availability of computational power. What have we learned? This book is designed to help synthesize our current knowledge regarding the role of muscles in human movement. The study of human movement is not a mature discipline.

Author : Radu Precup
Publisher : Walter de Gruyter GmbH & Co KG
Page : 234 pages
File Size : 48,8 Mb
Release : 2018-01-22
Category : Mathematics
ISBN : 9783110447507

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Ordinary Differential Equations by Radu Precup Pdf

This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple. Offering a concise course in the theory of ordinary differential equations, it also enables the reader to enter the field of computer simulations. Thus, it is a valuable read for students in mathematics as well as in physics and engineering. It is also addressed to all those interested in mathematical modeling with ordinary differential equations and systems. Contents Part I: Theory Chapter 1 First-Order Differential Equations Chapter 2 Linear Differential Systems Chapter 3 Second-Order Differential Equations Chapter 4 Nonlinear Differential Equations Chapter 5 Stability of Solutions Chapter 6 Differential Systems with Control Parameters Part II: Exercises Seminar 1 Classes of First-Order Differential Equations Seminar 2 Mathematical Modeling with Differential Equations Seminar 3 Linear Differential Systems Seminar 4 Second-Order Differential Equations Seminar 5 Gronwall’s Inequality Seminar 6 Method of Successive Approximations Seminar 7 Stability of Solutions Part III: Maple Code Lab 1 Introduction to Maple Lab 2 Differential Equations with Maple Lab 3 Linear Differential Systems Lab 4 Second-Order Differential Equations Lab 5 Nonlinear Differential Systems Lab 6 Numerical Computation of Solutions Lab 7 Writing Custom Maple Programs Lab 8 Differential Systems with Control Parameters

Author : Ellen A. Skinner,Thomas Kindermann,Andrew Mashburn
Publisher : Routledge
Page : 491 pages
File Size : 42,6 Mb
Release : 2019-05-09
Category : Psychology
ISBN : 9780429820755

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Lifespan Developmental Systems by Ellen A. Skinner,Thomas Kindermann,Andrew Mashburn Pdf

Everything you always wanted to know about theories, meta-theories, methods, and interventions but didn’t realize you needed to ask. This innovative textbook takes advanced undergraduate and graduate students "behind the curtain" of standard developmental science, so they can begin to appreciate the generative value and methodological challenges of a lifespan developmental systems perspective. It envisions applied developmental science as focused on ways to use knowledge about human development to help solve societal problems in real-life contexts, and considers applied developmental research to be purpose driven, field based, community engaged, and oriented toward efforts to optimize development. Based on the authors’ more than 25 years of teaching, this text is designed to help researchers and their students intentionally create a cooperative learning community, full of arguments, doubts, and insights, that can facilitate their own internal paradigm shifts, one student at a time. With the aid of extensive online supplementary materials, students of developmental psychology as well as students in other psychological subdisciplines (such as industrial-organizational, social, and community psychology) and applied professions that rely on developmental training (such as education, social work, counseling, nursing, health care, and business) will find this to be an invaluable guidebook and toolbox for conceptualizing and studying applied problems from a lifespan developmental systems perspective.

Author : Charles Rattray
Publisher : Springer Science & Business Media
Page : 620 pages
File Size : 46,7 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781447135340

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Specification and Verification of Concurrent Systems by Charles Rattray Pdf

This volume contains papers presented at the BCS-FACS Workshop on Specification and Verification of Concurrent Systems held on 6-8 July 1988, at the University of Stirling, Scotland. Specification and verification techniques are playing an increasingly important role in the design and production of practical concurrent systems. The wider application of these techniques serves to identify difficult problems that require new approaches to their solution and further developments in specification and verification. The Workshop aimed to capture this interplay by providing a forum for the exchange of the experience of academic and industrial experts in the field. Presentations included: surveys, original research, practical experi ence with methods, tools and environments in the following or related areas: Object-oriented, process, data and logic based models and specifi cation methods for concurrent systems Verification of concurrent systems Tools and environments for the analysis of concurrent systems Applications of specification languages to practical concurrent system design and development. We should like to thank the invited speakers and all the authors of the papers whose work contributed to making the Workshop such a success. We were particularly pleased with the international response to our call for papers. Invited Speakers Pierre America Philips Research Laboratories University of Warwick Professor M. Joseph David Freestone British Telecom Organising Committee Charles Rattray Dr Muffy Thomas Dr Simon Jones Dr John Cooke Professor Ken Turner Derek Coleman Maurice Naftalin Dr Peter Scharbach vi Preface We would like to aeknowledge the finaneial eontribution made by SD-Sysems Designers pie, Camberley, Surrey.

Author : Morris W. Hirsch,Stephen Smale,Robert L. Devaney
Publisher : Academic Press
Page : 433 pages
File Size : 40,6 Mb
Release : 2004
Category : Business & Economics
ISBN : 9780123497031

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Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W. Hirsch,Stephen Smale,Robert L. Devaney Pdf

Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.

Author : Arthur Gilman Shapiro,Dejan Todorović
Publisher : Oxford University Press
Page : 833 pages
File Size : 52,5 Mb
Release : 2017
Category : Medical
ISBN : 9780199794607

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The Oxford Compendium of Visual Illusions by Arthur Gilman Shapiro,Dejan Todorović Pdf

Visual illusions are compelling phenomena that draw attention to the brain's capacity to construct our perceptual world. The Compendium is a collection of over 100 chapters on visual illusions, written by the illusion creators or by vision scientists who have investigated mechanisms underlying the phenomena. --

Author : Zhenhua Duan,Luke Ong
Publisher : Springer
Page : 498 pages
File Size : 40,5 Mb
Release : 2017-10-13
Category : Computers
ISBN : 9783319686905

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Formal Methods and Software Engineering by Zhenhua Duan,Luke Ong Pdf

This book constitutes the refereed proceedings of the 19th International Conference on Formal Engineering Methods, ICFEM 2017, held in Xi'an, China, in November 2017. The 28 revised full papers presented together with one invited talk and two abstracts of invited talks were carefully reviewed and selected from 80 submissions. The conference focuses on all areas related to formal engineering methods, such as verification and validation, software engineering, formal specification and modeling, software security, and software reliability.