Download or read book Hidden Dynamics written by Mike R. Jeffrey and published by Springer. This book was released on 2018-12-11 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. From rattling machine parts to earthquakes. From individual decisions to economic crashes. Where discontinuities occur, determinacy is inevitably lost. Typically the physical laws of such change are poorly understood, and too ill-defined for standard mathematics. Discontinuities offer a way to make the bounds of scientific knowledge a part of the model, to analyse a system with detail and rigour, yet still leave room for uncertainty. This is done without recourse to stochastic modeling, instead retaining determinacy as far as possible, and focussing on the geometry of the many outcomes that become possible when it breaks down. In this book the foundations of `piecewise-smooth dynamics' theory are rejuvenated, given new life through the lens of modern nonlinear dynamics and asymptotics. Numerous examples and exercises lead the reader through from basic to advanced analytical methods, particularly new tools for studying stability and bifurcations. The book is aimed at scientists and engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling discontinuous systems, but also to empower the reader to develop their own novel models and discover as yet unknown phenomena.

Download or read book The Hidden Dynamics of Path Dependence written by G. Schreyögg and published by Springer. This book was released on 2009-11-12 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of path dependence continues to attract great interest in a range of disciplines. An increasing number of scholars have started to explicitly use this theory for studying organizational inertia and institutional rigidities. This volume presents a collection of papers from various international conferences that address these issues.

Download or read book Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self excited Attractors written by Christos Volos and published by MDPI. This book was released on 2019-05-03 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Download or read book Control Of Imperfect Nonlinear Electromechanical Large Scale Systems From Dynamics To Hardware Implementation written by Frasca Mattia and published by World Scientific. This book was released on 2017-05-19 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a class of uncertain systems that are called imperfect, and shows how much systems can regularly work if an appropriate control strategy is adopted. Along with some practical well studied examples, a formalization of the models for imperfect system is considered and a control strategy is proposed. Experimental case studies on electromechanical systems are also included. New concepts, experimental innovative circuits and laboratory details allow the reader to implement at low cost the outlined strategy. Emergent topics in nonlinear device realization are emphasized with the aim to allow researchers and students to perform experiments with large scale electromechanical systems. Moreover, the possibility of using imperfections and noise to generate nonlinear strange behavior is discussed.

Download or read book Applications of Fractional Calculus to Modeling in Dynamics and Chaos written by J. F. Gómez-Aguilar and published by CRC Press. This book was released on 2022-09-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences

Download or read book Invisible Dynamics written by Klaus P Horn and published by Carl-Auer Verlag. This book was released on 2018-09-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The company isn't booming, the customers are drifting away, innovation is at a standstill – What's wrong? A rational analysis can provide you with pieces of the problem, but never the whole picture. Systemic constellations give you the missing link. Success with this method in companies such as Daimler-Chrysler, IBM, and BMW has contributed to a booming interest in Europe. When the systemic structure of a team, company or market becomes clear, it is obvious what has to happen next. Individuals who are not involved in the problem situation are used to represent people or parts of the company and a trained consultant uses feedback from the representatives to reveal hidden dynamics and point to solutions. Anyone in a position of responsibility in industry or government, or an organisation in health education or welfare can profit from this book. It is easy to read and practical, with case examples and short summaries for quick scanning. "A totally obscure situation suddenly became as clear as day. How come we couldn't see the obvious before?! For all of our company leaders it was a total revelation." O. Wassermann, CEO of Wassermann AG/Swisslog, Munich, Germany

Download or read book Information Dynamics written by Gustavo Deco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new, theoretical approach to information dynamics, i.e., information processing in complex dynamical systems. The presentation establishes a consistent theoretical framework for the problem of discovering knowledge behind empirical, dynamical data and addresses applications in information processing and coding in dynamical systems. This will be an essential reference for those in neural computing, information theory, nonlinear dynamics and complex systems modeling.

Download or read book Reversibility in Dynamics and Group Theory written by Anthony G. O'Farrell and published by Cambridge University Press. This book was released on 2015-05-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other fields. This text is the first to make reversibility the focus of attention. The authors fix standard notation and terminology, establish the basic common principles, and illustrate the impact of reversibility in such diverse areas as group theory, differential and analytic geometry, number theory, complex analysis and approximation theory. As well as showing connections between different fields, the authors' viewpoint reveals many open questions, making this book ideal for graduate students and researchers. The exposition is accessible to readers at the advanced undergraduate level and above.

Download or read book Modeling with Nonsmooth Dynamics written by Mike R. Jeffrey and published by Springer Nature. This book was released on 2020-02-22 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them. The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind. Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.

Download or read book Principles of Brain Dynamics written by Mikhail I. Rabinovich and published by MIT Press. This book was released on 2023-12-05 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental and theoretical approaches to global brain dynamics that draw on the latest research in the field. The consideration of time or dynamics is fundamental for all aspects of mental activity—perception, cognition, and emotion—because the main feature of brain activity is the continuous change of the underlying brain states even in a constant environment. The application of nonlinear dynamics to the study of brain activity began to flourish in the 1990s when combined with empirical observations from modern morphological and physiological observations. This book offers perspectives on brain dynamics that draw on the latest advances in research in the field. It includes contributions from both theoreticians and experimentalists, offering an eclectic treatment of fundamental issues. Topics addressed range from experimental and computational approaches to transient brain dynamics to the free-energy principle as a global brain theory. The book concludes with a short but rigorous guide to modern nonlinear dynamics and their application to neural dynamics.

Download or read book Gender Dynamics and Post conflict Reconstruction written by Christine Eifler and published by Peter Lang. This book was released on 2009 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume by international authors deals with the role of gender dynamics in the development of post-conflict societies. The authors describe and analyze diverse aspects of the intertwining of gender and other social and cultural relations from an interdisciplinary perspective. They analyze gendered post-conflict dynamics in diverse contexts asking for the consequences these developments have in the settings under investigation, such as Eastern and Southeastern Europe, Palestine and Afghanistan.

Download or read book An Introduction to Piecewise Smooth Dynamics written by Paul Glendinning and published by Springer Nature. This book was released on 2019-10-21 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

Download or read book Social Dynamics in a Systems Perspective written by Sergio Barile and published by Springer. This book was released on 2017-10-04 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book targets the critical issue of decision making in uncertain conditions and situations. The aim is to increase readers’ understanding of complexity and of socio-economic interactions through the application of systems thinking perspectives. Among the various areas and topics addressed are complexity and sustainable management, markets as complex adaptive systems, the impacts of psychological and emotional factors upon value co-creation exchanges, and ICT enablers of service network performance and service exchange fulfillment. Thanks to the chosen perspectives, all of which are based on different systems research streams, the book will support more consistent and robust decisions, leading to sustainable, wise, and viable systems dynamics. It will aid managers, practitioners, and consultants in their decision-making processes and will also be of interest for academics and scholars in management, systems, computer science, engineering, and marketing.

Download or read book Crystallography of Protein Dynamics written by and published by Elsevier. This book was released on 2023-09-25 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.400 pages Approx.400 pages

Download or read book The Astrology of Family Dynamics written by Erin Sullivan and published by Weiser Books. This book was released on 2001-03-01 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this guide, Erin Sullivan shows that astrology is the only system that demonstrates the complexities of the family as an organic whole, the family's place in collective society, and the role an individual plays in carrying on the ancestral line.

Download or read book Nonlinear Dynamics and Statistics written by Alistair I. Mees and published by Springer Science & Business Media. This book was released on 2001-01-25 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art in nonlinear dynamical reconstruction theory. The chapters are based upon a workshop held at the Isaac Newton Institute, Cambridge University, UK, in late 1998. The book's chapters present theory and methods topics by leading researchers in applied and theoretical nonlinear dynamics, statistics, probability, and systems theory. Features and topics: * disentangling uncertainty and error: the predictability of nonlinear systems * achieving good nonlinear models * delay reconstructions: dynamics vs. statistics * introduction to Monte Carlo Methods for Bayesian Data Analysis * latest results in extracting dynamical behavior via Markov Models * data compression, dynamics and stationarity Professionals, researchers, and advanced graduates in nonlinear dynamics, probability, optimization, and systems theory will find the book a useful resource and guide to current developments in the subject.

Download or read book Mastering Robot dynamics written by Cybellium Ltd and published by Cybellium Ltd. This book was released on with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embark on an Enlightening Journey to "Mastering Robot Dynamics" In a world driven by automation and robotics, mastering the intricacies of robot dynamics is pivotal for creating advanced robotic systems that move with precision and intelligence. "Mastering Robot Dynamics" is your ultimate guide to navigating the complex world of robot motion, control, and manipulation. Whether you're an engineer, researcher, robotics enthusiast, or student, this book equips you with the knowledge and skills needed to excel in designing and controlling sophisticated robotic mechanisms. About the Book: "Mastering Robot Dynamics" takes you on a transformative journey through the intricacies of robot motion and control, from foundational concepts to advanced techniques. From kinematics and dynamics to trajectory planning and real-time control, this book covers it all. Each chapter is meticulously designed to provide both a deep understanding of the principles and practical applications in real-world robotic scenarios. Key Features: · Foundational Understanding: Build a solid foundation by comprehending the core principles of robot dynamics, including kinematics, inertia, and motion equations. · Robot Kinematics: Explore forward and inverse kinematics, understanding how robots move and calculating joint configurations. · Robot Dynamics: Dive into the study of forces, torques, and motion equations, learning how robots interact with their environments. · Trajectory Planning: Master the art of planning robot paths and trajectories, considering constraints and optimizing motion sequences. · Sensors and Perception: Gain insights into sensor integration, perception systems, and how robots interact with the world through feedback. · Motion Control: Learn about different types of control strategies, from PID control to advanced techniques like model predictive control. · Collision Avoidance: Understand methods for detecting and avoiding collisions, ensuring safety and reliability in robot operations. · Robot Manipulation: Explore techniques for manipulating objects, including grasp planning, manipulation tasks, and robotic arms. · Challenges and Trends: Discover challenges in robot dynamics, from sensor noise to complex control algorithms, and explore emerging trends shaping the future of robotics. Who This Book Is For: "Mastering Robot Dynamics" is designed for engineers, researchers, robotics enthusiasts, students, and anyone passionate about robotics. Whether you're aiming to enhance your skills or embark on a journey toward becoming a robotics expert, this book provides the insights and tools to navigate the complexities of designing and controlling robotic systems. © 2023 Cybellium Ltd. All rights reserved. www.cybellium.com