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Attractors And Methods
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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 414 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
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.
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.
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.
Book Synopsis Super Attractor: Methods for Manifesting a Life Beyond Your Wildest Dreams by : Francis Thomas
Download or read book Super Attractor: Methods for Manifesting a Life Beyond Your Wildest Dreams written by Francis Thomas and published by BookSummaryGr. This book was released on 2023-06-20 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Super Attractor: Methods for Manifesting a Life Beyond Your Wildest Dreams Gabrielle Bernstein is a prominent author, motivational speaker, and spiritual teacher known for her transformative and empowering works. Born on November 1, 1979, in New York City, her journey towards becoming a leading voice in the self-help and personal development space is as inspiring as her teachings. Growing up in a Jewish household, Bernstein was exposed to spiritual concepts and practices from an early age. However, like many individuals, she faced her own set of challenges and struggles along the way. In her early adulthood, she grappled with substance abuse and experienced a period of deep personal turmoil. These difficulties ultimately became the catalyst for her personal and spiritual growth. Seeking guidance and healing, Bernstein immersed herself in the world of self-help and spirituality. She studied and trained under renowned teachers, including Marianne Williamson and Louise Hay, and began to integrate their teachings into her own life. Inspired by her own transformation, she felt a deep calling to share her insights and knowledge with others. In 2009, Bernstein released her first book, "Add More ~ing to Your Life: A Hip Guide to Happiness," which received critical acclaim and marked the beginning of her successful writing career. Her subsequent books, including "Spirit Junkie: A Radical Road to Self-Love and Miracles" and "The Universe Has Your Back: Transform Fear to Faith," further solidified her place as a leading spiritual author and teacher. As a speaker, Bernstein has captivated audiences around the world with her engaging and dynamic presence. She has delivered talks and workshops at renowned events, including TEDx and the Omega Institute, inspiring countless individuals to embrace their true power and live with authenticity and purpose. Central to Bernstein's teachings is the idea of aligning with the universe and tapping into the power of love, forgiveness, and gratitude. Through her books, she shares practical tools, meditations, and exercises that empower readers to overcome their fears, cultivate self-love, and manifest their desires. Beyond her work as an author and speaker, Bernstein is the founder of the Spirit Junkie Masterclass, an online course that trains individuals to become spiritual coaches and leaders. She is also the co-founder of the Miracle Membership, a platform that provides ongoing guidance and support to those seeking to live a miraculous life. Gabrielle Bernstein's impact extends far beyond her words on a page or her spoken wisdom. She has created a vibrant community of individuals dedicated to personal growth and spiritual transformation. Her authenticity, vulnerability, and relatability make her a trusted guide for many who seek meaning, happiness, and fulfillment in their lives. Through her own journey, Gabrielle Bernstein has emerged as a beacon of light, spreading love, hope, and spiritual guidance to a wide audience. Her teachings continue to inspire and empower individuals worldwide, reminding us all of our innate ability to create a life filled with joy, purpose, and miracles. Here is a Preview of What You Will Get: ⁃ A Detailed Introduction ⁃ A Comprehensive Chapter by Chapter Summary ⁃ Etc Get a copy of this summary and learn about the book.
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.
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
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.
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.
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
Book Synopsis Dynamical Systems and Methods by : Albert C. J. Luo
Download or read book Dynamical Systems and Methods written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-09-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus on fundamental theories and principles,analytical and symbolic approaches, computational techniques in nonlinear physical science and mathematics. Broken into three parts, the text covers: Parametrical excited pendulum, nonlinear dynamics in hybrid systems, dynamical system synchronization and (N+1) body dynamics as well as new views different from the existing results in nonlinear dynamics, mathematical methods for dynamical systems including conservation laws, dynamical symmetry in nonlinear differential equations and invex energies and nonlinear phenomena in physical problems such as solutions, complex flows, chemical kinetics, Toda lattices and parallel manipulator. This book is useful to scholars, researchers and advanced technical members of industrial laboratory facilities developing new tools and products.
Book Synopsis Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics by : Victor A. Sadovnichiy
Download or read book Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics written by Victor A. Sadovnichiy and published by Springer Nature. This book was released on 2020-11-24 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields
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).
Book Synopsis Methods in Banach Space Theory by : Jesus M. F. Castillo
Download or read book Methods in Banach Space Theory written by Jesus M. F. Castillo and published by Cambridge University Press. This book was released on 2006-11-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of modern Banach space theory.
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.
Book Synopsis Algebraic and Discrete Mathematical Methods for Modern Biology by : Raina Robeva
Download or read book Algebraic and Discrete Mathematical Methods for Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2015-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources
Book Synopsis Strange Nonchaotic Attractors by : Ulrike Feudel
Download or read book Strange Nonchaotic Attractors written by Ulrike Feudel and published by World Scientific. This book was released on 2006 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed. Key Features Topics are suitable for various disciplines dealing with nonlinear dynamics (mechanics, physics, nonlinear optics, hydrodynamics, chemical kinetics, etc.) A variety of theoretical tools is supplied to reveal different characteristics of strange nonchaotic behavior Readership: Graduate students and researchers in nonlinear science.