Attractors and Methods PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Attractors and Methods PDF full book. Access full book title Attractors and Methods by Boling Guo. Download full books in PDF and EPUB format.
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110587262
Category : Mathematics
Languages : en
Pages : 414
Get Book Here
Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. Contents Discrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110587262
Category : Mathematics
Languages : en
Pages : 414
Get Book Here
Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. Contents Discrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves
Author: Julien C. Sprott
Publisher: M & T Books
ISBN: 9781558512986
Category : Computers
Languages : en
Pages : 426
Get Book Here
Book Description
Chaos and fractals are new mathematical ideas that have revolutionized our view of the world. They have application in virtually every academic discipline. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns. Disk includes a full working version of the program.
Author: Alexandre Carvalho
Publisher: Springer Science & Business Media
ISBN: 1461445817
Category : Mathematics
Languages : en
Pages : 434
Get Book Here
Book Description
The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.
Author: Gabrielle Bernstein
Publisher: Hay House, Inc
ISBN: 1401957161
Category : Body, Mind & Spirit
Languages : en
Pages : 249
Get Book Here
Book Description
** NEW YORK TIMES BESTSELLER! ** Ready to take the next step toward living in alignment with the Universe? The #1 New York Times best-selling author of The Universe Has Your Back shows you how. In Super Attractor, Gabrielle Bernstein lays out the essential steps for living in alignment with the Universe--more fully than you've ever done before. "I've always known that there is a nonphysical presence beyond my visible sight," Gabby writes. "All my life I've intuitively tuned in to it and used it as a source for good. . . . What we call it is irrelevant. Connecting to it is imperative." Super Attractor is a manifesto for making that connection and marrying your spiritual life with your day-to-day experience. In these pages, you'll learn to: * Move beyond dabbling in your practice, when it's convenient, to living a spiritual life all the time * Take practical steps to create a life filled with purpose, happiness, and freedom * Feel a sense of awe each day as you witness miracles unfold * Release the past and live without fear of the future * Tap into the infinite source of abundance, joy, and well-being that is your birthright * Bring more light to your own life and the world around you This book is a journey of remembering where your true power lies. You'll learn how to co-create the life you want. You'll accept that life can flow, that attracting is fun, and that you don't have to work so hard to get what you want. Most important, you'll feel good. And when you feel good, you'll give off a presence of joy that can elevate everyone around you. After reading this book, you will know how to fulfill your function: to be a force of love in the world.
Author: Robert Pryor
Publisher: Routledge
ISBN: 113523129X
Category : Business & Economics
Languages : en
Pages : 255
Get Book Here
Book Description
The Chaos Theory of Careers outlines the application of chaos theory to the field of career development. It draws together and extends the work that the authors have been doing over the last 8 to 10 years. This text represents a new perspective on the nature of career development. It emphasizes the dimensions of careers frequently neglected by contemporary accounts of careers such as the challenges and opportunities of uncertainty, the interconnectedness of current life and the potential for information overload, career wisdom as a response to unplanned change, new approaches to vocational assessment based on emergent thinking, the place of spirituality and the search for meaning and purpose in, with and through work, the integration of being and becoming as dimensions of career development. It will be vital reading for all those working in and studying career development, either at advanced undergraduate or postgraduate level and provides a new and refreshing approach to this fast changing subject. Key themes include: Factors such as complexity, change, and contribution People's aspirations in relation to work and personal fulfilment Contemporary realities of career choice, career development and the working world
Author: Nikolay Kuznetsov
Publisher: Springer Nature
ISBN: 3030509877
Category : Computers
Languages : en
Pages : 555
Get Book Here
Book Description
This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
Author: Tönu Puu
Publisher: Springer Science & Business Media
ISBN: 9783540402268
Category : Mathematics
Languages : en
Pages : 572
Get Book Here
Book Description
Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.
Author: David A. Rosenblueth,
Publisher: Frontiers Media SA
ISBN: 2889450422
Category :
Languages : en
Pages : 115
Get Book Here
Book Description
The complexity of living organisms surpasses our unaided habilities of analysis. Hence, computational and mathematical methods are necessary for increasing our understanding of biological systems. At the same time, there has been a phenomenal recent progress allowing the application of novel formal methods to new domains. This progress has spurred a conspicuous optimism in computational biology. This optimism, in turn, has promoted a rapid increase in collaboration between specialists of biology with specialists of computer science. Through sheer complexity, however, many important biological problems are at present intractable, and it is not clear whether we will ever be able to solve such problems. We are in the process of learning what kind of model and what kind of analysis and synthesis techniques to use for a particular problem. Some existing formalisms have been readily used in biological problems, others have been adapted to biological needs, and still others have been especially developed for biological systems. This Research Topic has examples of cases (1) employing existing methods, (2) adapting methods to biology, and (3) developing new methods. We can also see discrete and Boolean models, and the use of both simulators and model checkers. Synthesis is exemplified by manual and by machine-learning methods. We hope that the articles collected in this Research Topic will stimulate new research.
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110549654
Category : Mathematics
Languages : en
Pages : 438
Get Book Here
Book Description
This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold
Author: Zoltán Dörnyei
Publisher: Multilingual Matters
ISBN: 1783092564
Category : Language Arts & Disciplines
Languages : en
Pages : 449
Get Book Here
Book Description
This landmark volume offers a collection of conceptual papers and data-based research studies that investigate the dynamics of language learning motivation from a complex dynamic systems perspective. The chapters seek to answer the question of how we can understand motivation if we perceive it as a continuously changing and evolving entity rather than a fixed learner trait.
