Attractors And Methods

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Attractors and Methods

Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110587084
Total Pages : 577 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Attractors and Methods by : Boling Guo

Download or read book Attractors and Methods written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-07-09 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Julien C. Sprott
Publisher : M & T Books
ISBN 13 : 9781558512986
Total Pages : 426 pages
Book Rating : 4.5/5 (129 download)

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Book Synopsis Strange Attractors by : Julien C. Sprott

Download or read book Strange Attractors written by Julien C. Sprott and published by M & T Books. This book was released on 1993 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gabrielle Bernstein
Publisher : Hay House, Inc
ISBN 13 : 1401957161
Total Pages : 249 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis Super Attractor by : Gabrielle Bernstein

Download or read book Super Attractor written by Gabrielle Bernstein and published by Hay House, Inc. This book was released on 2019-09-24 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: ** 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.

Global Attractors of Non-autonomous Dissipative Dynamical Systems

Author : David N. Cheban
Publisher : World Scientific
ISBN 13 : 9812563083
Total Pages : 524 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Global Attractors of Non-autonomous Dissipative Dynamical Systems by : David N. Cheban

Download or read book Global Attractors of Non-autonomous Dissipative Dynamical Systems written by David N. Cheban and published by World Scientific. This book was released on 2004 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Attractors, Bifurcations, & Chaos

Author : Tönu Puu
Publisher : Springer Science & Business Media
ISBN 13 : 9783540402268
Total Pages : 572 pages
Book Rating : 4.4/5 (22 download)

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Book Synopsis Attractors, Bifurcations, & Chaos by : Tönu Puu

Download or read book Attractors, Bifurcations, & Chaos written by Tönu Puu and published by Springer Science & Business Media. This book was released on 2003-07-10 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Chaos Theory of Careers

Author : Robert Pryor
Publisher : Routledge
ISBN 13 : 113523129X
Total Pages : 255 pages
Book Rating : 4.1/5 (352 download)

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Book Synopsis The Chaos Theory of Careers by : Robert Pryor

Download or read book The Chaos Theory of Careers written by Robert Pryor and published by Routledge. This book was released on 2011-05-10 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Attractors Of Quasiperiodically Forced Systems

Author : Tomasz Kapitaniak
Publisher : World Scientific
ISBN 13 : 9814502774
Total Pages : 101 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Attractors Of Quasiperiodically Forced Systems by : Tomasz Kapitaniak

Download or read book Attractors Of Quasiperiodically Forced Systems written by Tomasz Kapitaniak and published by World Scientific. This book was released on 1994-01-28 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the influence of quasiperiodic force on dynamical system. With this type of forcing, different types of attractors are possible, for example, strange nonchaotic attractors which have some unusual properties.The main part of this book is based on the authors' recent works, but it also presents the results which are the combined achievements of many investigators.

A Gallery of Chua Attractors

Author : Eleonora Bilotta
Publisher : World Scientific
ISBN 13 : 9812790624
Total Pages : 607 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis A Gallery of Chua Attractors by : Eleonora Bilotta

Download or read book A Gallery of Chua Attractors written by Eleonora Bilotta and published by World Scientific. This book was released on 2008 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

The Universe Has Your Back

Author : Gabrielle Bernstein
Publisher : Hay House, Inc
ISBN 13 : 1401952011
Total Pages : 256 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis The Universe Has Your Back by : Gabrielle Bernstein

Download or read book The Universe Has Your Back written by Gabrielle Bernstein and published by Hay House, Inc. This book was released on 2016-09-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A new role model.”— The New York Times In The Universe Has Your Back, New York Times best-selling author Gabrielle Bernstein teaches readers how to transform their fear into faith in order to live a divinely guided life. Each story and lesson in the book guides readers to release the blocks to what they most long for: happiness, security and clear direction. The lessons help readers relinquish the need to control so they can relax into a sense of certainty and freedom. Readers will learn to stop chasing life and truly live. Making the shift from fear to faith will give readers a sense of power in a world that all too often makes them feel utterly powerless. When the tragedies of the world seem overwhelming, this book will help guide them back to their true power. Gabrielle says, “My commitment with this book is to wake up as many people as possible to their connection to faith and joy. In that connection, we can be guided to our true purpose: to be love and spread love. These words can no longer be cute buzz phrases that we merely post on social media. Rather, these words must be our mission. The happiness, safety, and security we long for lies in our commitment to love. ” When readers follow this path, they ’ll begin to feel a swell of energy move through them. They will find strength when they are down, synchronicity and support when they ’re lost, safety in the face of uncertainty, and joy when they are otherwise in pain. Follow the secrets revealed in this book to unleash the presence of your power and know always that The Universe Has Your Back.

Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches

Author : Eric Campos Canton
Publisher : World Scientific
ISBN 13 : 9811274134
Total Pages : 192 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches by : Eric Campos Canton

Download or read book Generation Of Self-excited, Hidden And Non-self-excited Attractors In Piecewise Linear Systems: Some Recent Approaches written by Eric Campos Canton and published by World Scientific. This book was released on 2023-06-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kind of dynamics is a piecewise linear system able to display? How may they generate heteroclinic chaos? How can the coexistence of attractors be designed and characterized? Is it necessary to have equilibrium points to generate chaotic behavior? Chaos theory and complex systems are interesting and evolving topics whose investigation from a theoretical and practical point of view constantly leads to arising questions. Interesting behaviors can be observed in self-excited attractors, hidden attractors and non-self-excited attractors.This book presents some fundamentals of linear system theory and recent approaches to design the three classes of chaotic attractors in piecewise linear systems. Each chapter presents a brief description and basic concepts to provide an overview of linear systems theory; chaos and multistability in integer linear systems; hidden and non-self-excited attractors; and fractional approaches. They also provide example systems to illustrate the concepts and design methods introduced. Some current topics under investigation are addressed from an integer order perspective to make the connection with the fractional order counterpart.This textbook provides a comprehensive introduction, methodologies, and analysis tools to study chaotic piecewise linear systems and will be suitable for undergraduate or graduate students interested in the field of chaos and complex dynamics.

Attractors for Equations of Mathematical Physics

Author : Vladimir V. Chepyzhov
Publisher : American Mathematical Soc.
ISBN 13 : 0821829505
Total Pages : 377 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Attractors for Equations of Mathematical Physics by : Vladimir V. Chepyzhov

Download or read book Attractors for Equations of Mathematical Physics written by Vladimir V. Chepyzhov and published by American Mathematical Soc.. This book was released on 2002 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations when time is large or tends to infinity. The related important questions concern the stability of solutions or the character of the instability if a solution is unstable. In the last few decades, considerable progress in this area has been achieved in the study of autonomous evolution partial differential equations. For anumber of basic evolution equations of mathematical physics, it was shown that the long time behavior of their solutions can be characterized by a very important notion of a global attractor of the equation. In this book, the authors study new problems related to the theory of infinite-dimensionaldynamical systems that were intensively developed during the last 20 years. They construct the attractors and study their properties for various non-autonomous equations of mathematical physics: the 2D and 3D Navier-Stokes systems, reaction-diffusion systems, dissipative wave equations, the complex Ginzburg-Landau equation, and others. Since, as it is shown, the attractors usually have infinite dimension, the research is focused on the Kolmogorov $\varepsilon$-entropy of attractors. Upperestimates for the $\varepsilon$-entropy of uniform attractors of non-autonomous equations in terms of $\varepsilon$-entropy of time-dependent coefficients are proved. Also, the authors construct attractors for those equations of mathematical physics for which the solution of the corresponding Cauchyproblem is not unique or the uniqueness is not proved. The theory of the trajectory attractors for these equations is developed, which is later used to construct global attractors for equations without uniqueness. The method of trajectory attractors is applied to the study of finite-dimensional approximations of attractors. The perturbation theory for trajectory and global attractors is developed and used in the study of the attractors of equations with terms rapidly oscillating with respect tospatial and time variables. It is shown that the attractors of these equations are contained in a thin neighborhood of the attractor of the averaged equation. The book gives systematic treatment to the theory of attractors of autonomous and non-autonomous evolution equations of mathematical physics.It can be used both by specialists and by those who want to get acquainted with this rapidly growing and important area of mathematics.

Systems with Hidden Attractors

Author : Viet-Thanh Pham
Publisher : Springer
ISBN 13 : 3319537210
Total Pages : 111 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Systems with Hidden Attractors by : Viet-Thanh Pham

Download or read book Systems with Hidden Attractors written by Viet-Thanh Pham and published by Springer. This book was released on 2017-03-10 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linguistic Attractors

Author : David L. Cooper
Publisher : John Benjamins Publishing
ISBN 13 : 9027223548
Total Pages : 392 pages
Book Rating : 4.0/5 (272 download)

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Book Synopsis Linguistic Attractors by : David L. Cooper

Download or read book Linguistic Attractors written by David L. Cooper and published by John Benjamins Publishing. This book was released on 1999-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interdisciplinary linguistic attractor model portrays language processing as linked sequences of fractal sets, and examines the changing dynamics of such sets for individuals as well as the speech community they comprise. Its motivation stems from human anatomic constraints and several artificial neural network approaches. It uses general computation theory to: (1) demonstrate the capacity of Cantor-like fractal sets to perform as Turing Machines; (2) better distinguish between models that simply match outputs (emulation) and models that match both outputs and internal dynamics (simulation); and (3) relate language processing to essential computation steps executed in parallel. Measure and information theory highlight the key variables driving linguistic dynamics, while catastrophe and game theory help predict the possible topologies of language change.It introduces techniques to isolate and measure attractors, and to interpret their stability and relative content within a system. Important results include the capability to distinguish the sequence of related sound changes, and to make point-to-point comparisons of different texts using common metrics. Other techniques allow quantifiable ambiguity landscapes illustrating the forces that propel different languages in different directions.

Attractors and Inertial Manifolds

Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110549654
Total Pages : 438 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Attractors and Inertial Manifolds by : Boling Guo

Download or read book Attractors and Inertial Manifolds written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-07-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642285120
Total Pages : 368 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Evolution Inclusions and Variation Inequalities for Earth Data Processing III by : Mikhail Z. Zgurovsky

Download or read book Evolution Inclusions and Variation Inequalities for Earth Data Processing III written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2012-05-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.

Multistability in Physical and Living Systems

Author : Alexander N. Pisarchik
Publisher : Springer Nature
ISBN 13 : 303098396X
Total Pages : 417 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Multistability in Physical and Living Systems by : Alexander N. Pisarchik

Download or read book Multistability in Physical and Living Systems written by Alexander N. Pisarchik and published by Springer Nature. This book was released on 2022-04-13 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with an introduction to the basic concepts of multistability, then illustrates how multistability arises in different systems and explains the main mechanisms of multistability emergence. A special attention is given to noise which can convert a multistable deterministic system to a monostable stochastic one. Furthermore, the most important applications of multistability in different areas of science, engineering and technology are given attention throughout the book, including electronic circuits, lasers, secure communication, and human perception. The book aims to provide a first approach to multistability for readers, who are interested in understanding its fundamental concepts and applications in several fields. This book will be useful not only to researchers and engineers focusing on interdisciplinary studies, but also to graduate students and technicians. Both theoreticians and experimentalists will rely on it, in fields ranging from mathematics and laser physics to neuroscience and astronomy. The book is intended to fill a gap in the literature, to stimulate new discussions and bring some fundamental issues to a deeper level of understanding of the mechanisms underlying self-organization of matter and world complexity.

Advances in Neural Information Processing Systems 7

Author : Gerald Tesauro
Publisher : MIT Press
ISBN 13 : 9780262201049
Total Pages : 1180 pages
Book Rating : 4.2/5 (1 download)

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Book Synopsis Advances in Neural Information Processing Systems 7 by : Gerald Tesauro

Download or read book Advances in Neural Information Processing Systems 7 written by Gerald Tesauro and published by MIT Press. This book was released on 1995 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: November 28-December 1, 1994, Denver, Colorado NIPS is the longest running annual meeting devoted to Neural Information Processing Systems. Drawing on such disparate domains as neuroscience, cognitive science, computer science, statistics, mathematics, engineering, and theoretical physics, the papers collected in the proceedings of NIPS7 reflect the enduring scientific and practical merit of a broad-based, inclusive approach to neural information processing. The primary focus remains the study of a wide variety of learning algorithms and architectures, for both supervised and unsupervised learning. The 139 contributions are divided into eight parts: Cognitive Science, Neuroscience, Learning Theory, Algorithms and Architectures, Implementations, Speech and Signal Processing, Visual Processing, and Applications. Topics of special interest include the analysis of recurrent nets, connections to HMMs and the EM procedure, and reinforcement- learning algorithms and the relation to dynamic programming. On the theoretical front, progress is reported in the theory of generalization, regularization, combining multiple models, and active learning. Neuroscientific studies range from the large-scale systems such as visual cortex to single-cell electrotonic structure, and work in cognitive scientific is closely tied to underlying neural constraints. There are also many novel applications such as tokamak plasma control, Glove-Talk, and hand tracking, and a variety of hardware implementations, with particular focus on analog VLSI.