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Attractors and Methods

Attractors and Methods
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 413
Release: 2018-07-09
Genre: Mathematics
ISBN: 3110587262

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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


Strange Attractors

Strange Attractors
Author: Julien C. Sprott
Publisher: M & T Books
Total Pages: 426
Release: 1993
Genre: Computers
ISBN: 9781558512986

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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.


Super Attractor

Super Attractor
Author: Gabrielle Bernstein
Publisher: Hay House, Inc
Total Pages: 249
Release: 2019-09-24
Genre: Body, Mind & Spirit
ISBN: 1401957161

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** 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.


Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

Attractor Dimension Estimates for Dynamical Systems: Theory and Computation
Author: Nikolay Kuznetsov
Publisher: Springer Nature
Total Pages: 555
Release: 2020-07-02
Genre: Computers
ISBN: 3030509877

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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.


Infinite-dimensional Dynamical Systems

Infinite-dimensional Dynamical Systems
Author: Boling Guo
Publisher: de Gruyter
Total Pages: 0
Release: 2018
Genre: Mathematics
ISBN: 9783110586992

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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


Attractors, Bifurcations, & Chaos

Attractors, Bifurcations, & Chaos
Author: Tönu Puu
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2013-03-19
Genre: Mathematics
ISBN: 3540246991

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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.


Attractors and Methods

Attractors and Methods
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 577
Release: 2018-07-09
Genre: Mathematics
ISBN: 3110587084

Download Attractors and Methods Book in PDF, ePub and Kindle

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


The Chaos Theory of Careers

The Chaos Theory of Careers
Author: Robert Pryor
Publisher: Routledge
Total Pages: 255
Release: 2011-05-10
Genre: Business & Economics
ISBN: 113523129X

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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


Global Attractors of Non-autonomous Dissipative Dynamical Systems

Global Attractors of Non-autonomous Dissipative Dynamical Systems
Author: David N. Cheban
Publisher: World Scientific
Total Pages: 524
Release: 2004
Genre: Mathematics
ISBN: 9812563083

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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.


Systems with Hidden Attractors

Systems with Hidden Attractors
Author: Viet-Thanh Pham
Publisher: Springer
Total Pages: 105
Release: 2017-03-10
Genre: Technology & Engineering
ISBN: 3319537210

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This brief provides a general overview of nonlinear systems that exhibit hidden-attractor behavior, a topic of interest in subjects as divers as physics, mechanics, electronics and secure communications. The brief is intended for readers who want to understand the concepts of the hidden attractor and hidden-attractor systems and to implement such systems experimentally using common electronic components. Emergent topics in circuit implementation of systems with hidden attractors are included. The brief serves as an up-to-date reference on an important research topic for undergraduate/graduate students, laboratory researchers and lecturers in various areas of engineering and physics.