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| Author | : Mike R. Jeffrey |
| Publisher | : Springer |
| Total Pages | : 521 |
| Release | : 2018-12-11 |
| Genre | : Mathematics |
| ISBN | : 3030021076 |
Download Hidden Dynamics Book in PDF, ePub and Kindle
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.
| Author | : G. Schreyögg |
| Publisher | : Springer |
| Total Pages | : 259 |
| Release | : 2009-11-12 |
| Genre | : Business & Economics |
| ISBN | : 0230274072 |
Download The Hidden Dynamics of Path Dependence Book in PDF, ePub and Kindle
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.
| Author | : Christos Volos |
| Publisher | : MDPI |
| Total Pages | : 290 |
| Release | : 2019-05-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3038978981 |
Download Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors Book in PDF, ePub and Kindle
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.
| Author | : Luigi Fortuna |
| Publisher | : World Scientific |
| Total Pages | : 147 |
| Release | : 2017-05-19 |
| Genre | : Computers |
| ISBN | : 9813227257 |
Download Control Of Imperfect Nonlinear Electromechanical Large Scale Systems: From Dynamics To Hardware Implementation Book in PDF, ePub and Kindle
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.
| Author | : J. F. Gómez-Aguilar |
| Publisher | : CRC Press |
| Total Pages | : 511 |
| Release | : 2022-09-29 |
| Genre | : Mathematics |
| ISBN | : 100059761X |
Download Applications of Fractional Calculus to Modeling in Dynamics and Chaos Book in PDF, ePub and Kindle
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
| Author | : Faith Ralston |
| Publisher | : Amacom Books |
| Total Pages | : 176 |
| Release | : 1995 |
| Genre | : Business & Economics |
| ISBN | : 9780814402726 |
Download Hidden Dynamics Book in PDF, ePub and Kindle
This guide offers practical advice for turning strong feelings into a positive force for building a more vigorous organization and enhancing your own job satisfaction. It's packed with examples, exercises, and tools for training that will help you improve individual and team performance; reduce interpersonal conflict and barriers to cooperation; integrate feelings and facts when making business decisions; develop managerial skills of facilitation, communication, and leadership; and motivate employees to take more responsibility. Emotional needs always express themselves one way or another, even in a business environment, says the author. Understanding the "Eight Principles of Emotions" described here will give you unique insights into why people behave the way they do. Armed with this valuable knowledge, you'll learn to deal with typical workplace issues and situations.
| Author | : Gustavo Deco |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 289 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1461301270 |
Download Information Dynamics Book in PDF, ePub and Kindle
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.
| Author | : Anthony G. O'Farrell |
| Publisher | : Cambridge University Press |
| Total Pages | : 295 |
| Release | : 2015-05-28 |
| Genre | : Mathematics |
| ISBN | : 1316195767 |
Download Reversibility in Dynamics and Group Theory Book in PDF, ePub and Kindle
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.
| Author | : Mike R. Jeffrey |
| Publisher | : Springer Nature |
| Total Pages | : 104 |
| Release | : 2020-02-22 |
| Genre | : Mathematics |
| ISBN | : 3030359875 |
Download Modeling with Nonsmooth Dynamics Book in PDF, ePub and Kindle
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.
| Author | : Mikhail I. Rabinovich |
| Publisher | : MIT Press |
| Total Pages | : 371 |
| Release | : 2023-12-05 |
| Genre | : Medical |
| ISBN | : 0262549905 |
Download Principles of Brain Dynamics Book in PDF, ePub and Kindle
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.
