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| Author | : Heinz Georg Schuster |
| Publisher | : John Wiley & Sons |
| Total Pages | : 312 |
| Release | : 2006-03-06 |
| Genre | : Science |
| ISBN | : 3527606416 |
Download Deterministic Chaos Book in PDF, ePub and Kindle
A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.
| Author | : Heinz Georg Schuster |
| Publisher | : Jacaranda |
| Total Pages | : 304 |
| Release | : 1988 |
| Genre | : Science |
| ISBN | : |
Download Deterministic Chaos Book in PDF, ePub and Kindle
| Author | : Jan Awrejcewicz |
| Publisher | : World Scientific |
| Total Pages | : 577 |
| Release | : 2016-03-14 |
| Genre | : Science |
| ISBN | : 9814719714 |
Download Deterministic Chaos In One Dimensional Continuous Systems Book in PDF, ePub and Kindle
This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.
| Author | : David Hobill |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2013-06-29 |
| Genre | : Science |
| ISBN | : 1475799934 |
Download Deterministic Chaos in General Relativity Book in PDF, ePub and Kindle
Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com plex nonlinear systems that cannot be broken down into the behavior of their con stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.
| Author | : Fabio Benatti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 229 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642849997 |
Download Deterministic Chaos in Infinite Quantum Systems Book in PDF, ePub and Kindle
The purpose of this volume is to give a detailed account of a series of re sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a generalized been addressed in Kolmogorov-Sinai entropy by A.Connes, H.Narnhofer and W.Thirring. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the so-called Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K-) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical K-systems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some non-trivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too.
| Author | : Joseph L. McCauley |
| Publisher | : Cambridge University Press |
| Total Pages | : 352 |
| Release | : 1993 |
| Genre | : Mathematics |
| ISBN | : 9780521467476 |
Download Chaos, Dynamics, and Fractals Book in PDF, ePub and Kindle
This book develops deterministic chaos and fractals from the standpoint of iterated maps, but the emphasis makes it very different from all other books in the field. It provides the reader with an introduction to more recent developments, such as weak universality, multifractals, and shadowing, as well as to older subjects like universal critical exponents, devil's staircases and the Farey tree. The author uses a fully discrete method, a 'theoretical computer arithmetic', because finite (but not fixed) precision cannot be avoided in computation or experiment. This leads to a more general formulation in terms of symbolic dynamics and to the idea of weak universality. The connection is made with Turing's ideas of computable numbers and it is explained why the continuum approach leads to predictions that are not necessarily realized in computation or in nature, whereas the discrete approach yields all possible histograms that can be observed or computed.
| Author | : Marisa Faggini |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2010-12-28 |
| Genre | : Mathematics |
| ISBN | : 8847017785 |
Download Decision Theory and Choices: a Complexity Approach Book in PDF, ePub and Kindle
In economics agents are assumed to choose on the basis of rational calculations aimed at the maximization of their pleasure or profit. Formally, agents are said to manifest transitive and consistent preferences in attempting to maximize their utility in the presence of several constraints. They operate according to the choice imperative: given a set of alternatives, choose the best. This imperative works well in a static and simplistic framework, but it may fail or vary when 'the best' is changing continuously. This approach has been questioned by a descriptive approach that springing from the complexity theory tries to give a scientific basis to the way in which individuals really choose, showing that those models of human nature is routinely falsified by experiments since people are neither selfish nor rational. Thus inductive rules of thumb are usually implemented in order to make decisions in the presence of incomplete and heterogeneous information sets.
| Author | : N. Kumar |
| Publisher | : Universities Press |
| Total Pages | : 116 |
| Release | : 1996 |
| Genre | : Deterministic chaos |
| ISBN | : 9788173710421 |
Download Deterministic Chaos Book in PDF, ePub and Kindle
This book defines, describes, and prescribe the newly emerged paradigm of complexity of change-how a simple system ruled by a deterministic law can evolve in a manner too complex to predict in detail in the long run. After explaining, through examles, the underlying idea of sensitive depenence on initial conditions caused by non-linearity, id describes the powerful qualitative techniques.
| Author | : Ping Chen |
| Publisher | : Routledge |
| Total Pages | : 585 |
| Release | : 2010-04-05 |
| Genre | : Business & Economics |
| ISBN | : 1136994874 |
Download Economic Complexity and Equilibrium Illusion Book in PDF, ePub and Kindle
The Principle of Large Numbers indicates that macro fluctuations have weak microfoundations; persistent business cycles and interrupted technologies can be better characterized by macro vitality and meso foundations. Economic growth is limited by market extent and ecological constraints. The trade-off between stability and complexity is the foundation of cultural diversity and mixed economies. The new science of complexity sheds light on the sources of economic instability and complexity. This book consists of the major work of Professor Ping Chen, a pioneer in studying economic chaos and economic complexity. They are selected from works completed since 1987, including original research on the evolutionary dynamics of the division of labour, empirical and theoretical studies of economic chaos and stochastic models of collective behavior. Offering a new perspective on market instability and the changing world order, the basic pillars in equilibrium economics are challenged by solid evidence of economic complexity and time asymmetry, including Friedman’s theory of exogenous money and efficient market, the Frisch model of noise-driven cycles, the Lucas model of microfoundations and rational expectations, the Black-Scholes model of option pricing, and the Coase theory of transaction costs. Throughout, a general theory based on complex evolutionary economics is developed, which integrates different insights from Marx, Marshall, Schumpeter, Keynes and offers a new understanding of the evolutionary history of division of labour. This book will be of interest to postgraduates and researchers in Economics, including macroeconomics, financial economics, advanced econometrics and economic methodology.
| Author | : G. F. Azzone |
| Publisher | : IOS Press |
| Total Pages | : 212 |
| Release | : 1998 |
| Genre | : Diseases |
| ISBN | : 9789051993905 |
Download Medicine from Art to Science Book in PDF, ePub and Kindle
A psychology text that you'll actually want to read! PSYCHOLOGY: A JOURNEY is guaranteed to spark your curiosity, insight, imagination, and interest. Using the proven SQ4R (Survey, Question, Read, Recite, Reflect, and Review) active learning system to help you study smarter, Coon leads you to an understanding of major concepts as well as how psychology relates to the challenges of everyday life. Each chapter of this book takes you into a different realm of psychology, such as personality, abnormal behavior, memory, consciousness, and human development. Each realm is complex and fascinating, with many pathways, landmarks, and detours to discover. Take the journey and find yourself becoming actively involved with the material as you develop a basic understanding of psychology that will help you succeed in this course and enrich your life. Available with InfoTrac Student Collections http://gocengage.com/infotrac.
