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Higher Order Systems


Higher Order Systems
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Higher Order Systems


Higher Order Systems
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Author : Federico Battiston
language : en
Publisher: Springer Nature
Release Date : 2022-04-26

Higher Order Systems written by Federico Battiston and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-26 with Science categories.


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.



Higher Order Processing In The Visual System


Higher Order Processing In The Visual System
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Author : Gregory R. Bock
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-30

Higher Order Processing In The Visual System written by Gregory R. Bock and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Psychology categories.


Foremost neurophysiologists and psychophysicists provide pertinent information on the nature of representation at the earliest stages as this will constrain the disposition of all subsequent processing. This processing is discussed in several different types of visual perception.



Dimension Reduction Of Large Scale Systems


Dimension Reduction Of Large Scale Systems
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Author : Peter Benner
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Dimension Reduction Of Large Scale Systems written by Peter Benner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Technology & Engineering categories.


In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.



Fundamentals Of Ordinary Differential Equations


Fundamentals Of Ordinary Differential Equations
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Author : Mohit Chatterjee
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Fundamentals Of Ordinary Differential Equations written by Mohit Chatterjee and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


"Fundamentals of Ordinary Differential Equations" is a comprehensive guide designed for students, researchers, and professionals to master ODE theory and applications. We cover essential principles, advanced techniques, and practical applications, providing a well-rounded resource for understanding differential equations and their real-world impact. The book offers a multifaceted approach, from basic principles to advanced concepts, catering to fields like physics, engineering, biology, and economics. Mathematical ideas are broken down with step-by-step explanations, examples, and illustrations, making complex concepts accessible. Real-world examples throughout each chapter show how ODEs model and analyze systems in diverse disciplines. We also explain numerical methods such as Euler’s method, Runge-Kutta, and finite differences, equipping readers with computational tools for solving ODEs. Advanced topics include bifurcation, chaos theory, Hamiltonian systems, and singular perturbations, providing an in-depth grasp of ODE topics. With chapter summaries, exercises, glossaries, and additional resources, "Fundamentals of Ordinary Differential Equations" is an essential reference for students, professionals, and practitioners across science and engineering fields.



Control System Engineering


Control System Engineering
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Author : Uday A. Bakshi
language : en
Publisher: Technical Publications
Release Date : 2020-11-01

Control System Engineering written by Uday A. Bakshi and has been published by Technical Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-01 with Technology & Engineering categories.


The book is written for an undergraduate course on the Feedback Control Systems. It provides comprehensive explanation of theory and practice of control system engineering. It elaborates various aspects of time domain and frequency domain analysis and design of control systems. Each chapter starts with the background of the topic. Then it gives the conceptual knowledge about the topic dividing it in various sections and subsections. Each chapter provides the detailed explanation of the topic, practical examples and variety of solved problems. The explanations are given using very simple and lucid language. All the chapters are arranged in a specific sequence which helps to build the understanding of the subject in a logical fashion. The book starts with explaining the various types of control systems. Then it explains how to obtain the mathematical models of various types of systems such as electrical, mechanical, thermal and liquid level systems. Then the book includes good coverage of the block diagram and signal flow graph methods of representing the various systems and the reduction methods to obtain simple system from the analysis point of view. The book further illustrates the steady state and transient analysis of control systems. The book covers the fundamental knowledge of controllers used in practice to optimize the performance of the systems. The book emphasizes the detailed analysis of second order systems as these systems are common in practice and higher order systems can be approximated as second order systems. The book teaches the concept of stability and time domain stability analysis using Routh-Hurwitz method and root locus method. It further explains the fundamentals of frequency domain analysis of the systems including co-relation between time domain and frequency domain. The book gives very simple techniques for stability analysis of the systems in the frequency domain, using Bode plot, Polar plot and Nyquist plot methods. It also explores the concepts of compensation and design of the control systems in time domain and frequency domain. The classical approach loses the importance of initial conditions in the systems. Thus, the book provides the detailed explanation of modern approach of analysis which is the state variable analysis of the systems including methods of finding the state transition matrix, solution of state equation and the concepts of controllability and observability. The variety of solved examples is the feature of this book which helps to inculcate the knowledge of the design and analysis of the control systems in the students. The book explains the philosophy of the subject which makes the understanding of the concepts very clear and makes the subject more interesting.



Introduction To Discrete Linear Controls


Introduction To Discrete Linear Controls
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Author : Albert B. Bishop
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Introduction To Discrete Linear Controls written by Albert B. Bishop and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Technology & Engineering categories.


Introduction to Discrete Linear Controls: Theory and Applications focuses on the design, analysis, and operation of discrete-time decision processes. The publication first offers information on systems theory and discrete linear control systems, discrete control-system models, and the calculus of finite differences. Discussions focus on the calculus of finite differences and linear difference equations, summations, control of cylinder diameter, generalized discrete process controller with sampling, difference equations, control theory, and system models. The text then examines classical solution of linear difference equations with constant, inverse transformation, and measures and environmental effects of system performance. The manuscript takes a look at parameter selection in first-order systems considering sampling and instrumentation errors, second-order systems, and system instability, including responses of the generalized second-order process controller; criterion for stability of discrete linear systems; and proportional-plus-difference control. The publication is a valuable source of information for engineers, operations researchers, and systems analysts.



Computer Simulation Analysis Of Biological And Agricultural Systems


Computer Simulation Analysis Of Biological And Agricultural Systems
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Author : Barney K. Huang
language : en
Publisher: CRC Press
Release Date : 1994-03-22

Computer Simulation Analysis Of Biological And Agricultural Systems written by Barney K. Huang and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-22 with Technology & Engineering categories.


Computer Simulation Analysis of Biological and Agricultural Systems focuses on the integration of mathematical models and the dynamic simulation essential to system analysis, design, and synthesis. The book emphasizes the quantitative dynamic relationships between elements and system responses. Problems of various degrees of difficulty and complexity are discussed to illustrate methods of computer-aided design and analysis that can bridge the gap between theories and applications. These problems cover a wide variety of subjects in the biological and agricultural fields. Specific guidelines and practical methods for defining requirements, developing specifications, and integrating system modeling early in simulation development are included as well. Computer Simulation Analysis of Biological and Agricultural Systems is an excellent text and self-guide for agricultural engineers, agronomists, foresters, horticulturists, soil scientists, mechanical engineers, and computer simulators.



Control Theory For Humans


Control Theory For Humans
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Author : Richard J. Jagacinski
language : en
Publisher: CRC Press
Release Date : 2018-10-08

Control Theory For Humans written by Richard J. Jagacinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Technology & Engineering categories.


This textbook provides a tutorial introduction to behavioral applications of control theory. Control theory describes the information one should be sensitive to and the pattern of influence that one should exert on a dynamic system in order to achieve a goal. As such, it is applicable to various forms of dynamic behavior. The book primarily deals with manual control (e.g., moving the cursor on a computer screen, lifting an object, hitting a ball, driving a car), both as a substantive area of study and as a useful perspective for approaching control theory. It is the experience of the authors that by imagining themselves as part of a manual control system, students are better able to learn numerous concepts in this field. Topics include varieties of control theory, such as classical, optimal, fuzzy, adaptive, and learning control, as well as perception and decision making in dynamic contexts. The authors also discuss implications of control theory for how experiments can be conducted in the behavioral sciences. In each of these areas they have provided brief essays intended to convey key concepts that enable the reader to more easily pursue additional readings. Behavioral scientists teaching control courses will be very interested in this book.



Differential Equations For Engineers


Differential Equations For Engineers
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Author : David V. Kalbaugh
language : en
Publisher: CRC Press
Release Date : 2017-09-01

Differential Equations For Engineers written by David V. Kalbaugh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-01 with Mathematics categories.


This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.



Information Processing In Motor Control And Learning


Information Processing In Motor Control And Learning
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Author : George E. Stelmach
language : en
Publisher: Academic Press
Release Date : 2014-06-28

Information Processing In Motor Control And Learning written by George E. Stelmach and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Psychology categories.


Information Processing in Motor Control and Learning provides the theoretical ideas and experimental findings in the field of motor behavior research. The text presents a balanced combination of theory and empirical data. Chapters discuss several theoretical issues surrounding skill acquisition; motor programming; and the nature and significance of preparation, rapid movement sequences, attentional demands, and sensorimotor integration in voluntary movements. The book will be interesting to psychologists, neurophysiologists, and graduate students in related fields.