Attractors and Methods PDF Download

Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110587262
Category : Mathematics
Languages : en
Pages : 413

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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: 3110587084
Category : Mathematics
Languages : en
Pages : 577

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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

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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: Gabrielle Bernstein
Publisher: Hay House, Inc
ISBN: 140195717X
Category : Body, Mind & Spirit
Languages : en
Pages : 249

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Book Description
** NEW YORK TIMES BESTSELLER! ** ARE YOU READY TO LIVE IN ALIGNMENT WITH THE UNIVERSE ANDTHE LIFE YOU WANT TO LIVE? The #1 New York Times best-selling author of The Universe Has Your Back shows you how. SUPER ATTRACTOR WILL TEACH YOU ESSENTIAL METHODS FOR MANIFESTING A LIFE BEYOND YOUR WILDEST DREAMS Identified as “a new role model” by The New York Times and featured on Oprah’s Super Soul Sunday as a “next-generation thought leader," Gabrielle Bernstein lays out the exact steps for living in alignment with the Universe and manifesting your greatest self--more fully than you've ever done before. 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 manifesting miracles is fun, and that you don’t have to work so hard to get what you want. Most importantly, you’ll feel good. And when you feel good, you give off a presence of joy that elevates everyone around you. 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 claiming your desires with confidence, marrying your spiritual life with your day-to-day experience. You'll learn how to: * Move beyond dabbling in your practice, when it's convenient, to living a spiritual life all the time * Take practical steps to create an aligned 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, intuition, joy, and well-being that is your birthright * Bring more LIGHT to your own life and the world around you Chapter Titles Include: · The Universe Always Delivers · It's Good to Feel Good · There's More Than Enough to Go Around · Have Fun along the Way · Lift the Veil · Invisible Guidance is Available to You · Do Less and Attract More · Taking Spiritually Aligned Action · Appreciate and Appreciate More · Let the Universe Catch Up with Your Dreams · Unwavering Faith in the Universe Accepting that you are a Super Attractor will change everything. You’ll trust that it’s safe to release the past and you’ll no longer fear the future. You’ll tap into an infinite source of abundance, energy, happiness and well-being. This well-being will become the norm for you and you’ll know intuitively how to show up for life and bring more light to the world around you. “Gabrielle is the real thing. I respect her work immensely.” — Dr. Wayne Dyer

Author: Nikolay Kuznetsov
Publisher: Springer Nature
ISBN: 3030509877
Category : Computers
Languages : en
Pages : 555

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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: David N. Cheban
Publisher: World Scientific
ISBN: 9812563083
Category : Mathematics
Languages : en
Pages : 524

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Book Description
The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume presents an authoritative overview of both autonomous and non-autonomous dynamical systems, including the global compact attractor.

Author: Tönu Puu
Publisher: Springer Science & Business Media
ISBN: 9783540402268
Category : Mathematics
Languages : en
Pages : 572

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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: Robert Pryor
Publisher: Routledge
ISBN: 113523129X
Category : Business & Economics
Languages : en
Pages : 255

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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: Zoltán Dörnyei
Publisher: Multilingual Matters
ISBN: 1783092564
Category : Language Arts & Disciplines
Languages : en
Pages : 449

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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.

Author: Eleonora Bilotta
Publisher: World Scientific
ISBN: 9812790624
Category : Mathematics
Languages : en
Pages : 607

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Book Description
Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua's oscillator (1986) — a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua's circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 “chaotic attractors” — some generated by Chua's physical circuit, the majority through computer simulation of the circuit and its generalizations — are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007).