Concepts and Results in Chaotic Dynamics: A Short Course

Author: Pierre Collet,Jean-Pierre Eckmann

Publisher: Springer Science & Business Media

ISBN: 3540347062

Category: Mathematics

Page: 232

View: 9871

The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.

From Nucleons to Nucleus

Concepts of Microscopic Nuclear Theory

Author: Jouni Suhonen

Publisher: Springer Science & Business Media

ISBN: 3540488618

Category: Science

Page: 648

View: 4486

From Nucleons to Nucleus deals with single-particle and collective features of spherical nuclei. Each nuclear model is introduced and derived in detail. The formalism is then applied to light and medium-heavy nuclei in worked-out examples, and finally the acquired skills are strengthened by a wide selection of exercises, many relating the models to experimental data. Nuclear properties are discussed using particles, holes and quasi-particles. From Nucleons to Nucleus is based on lectures on nuclear physics given by the author, and serves well as a textbook for advanced students. Researchers too will appreciate it as a well-balanced reference to theoretical nuclear physics.

Quantum Information Theory and Quantum Statistics

Author: Dénes Petz

Publisher: Springer Science & Business Media

ISBN: 3540746366

Category: Science

Page: 216

View: 4366

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Quantum Probability and Spectral Analysis of Graphs

Author: Akihito Hora,Nobuaki Obata

Publisher: Springer Science & Business Media

ISBN: 3540488634

Category: Science

Page: 371

View: 2858

This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding.

Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Author: Giovanni Gallavotti,Federico Bonetto,Guido Gentile

Publisher: Springer Science & Business Media

ISBN: 9783540408796

Category: Mathematics

Page: 435

View: 7035

Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.

Instabilities, Chaos and Turbulence

Author: Paul Manneville

Publisher: World Scientific

ISBN: 1848163924

Category: Science

Page: 439

View: 9310

This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

Discrete Dynamical Systems and Difference Equations with Mathematica

Author: Mustafa R.S. Kulenovic,Orlando Merino

Publisher: CRC Press

ISBN: 1420035355

Category: Mathematics

Page: 360

View: 8528

Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find basins of attraction. Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to: Find and classify the stability character of equilibrium and periodic points Perform semicycle analysis of solutions Calculate and visualize invariants Calculate and visualize Lyapunov functions and numbers Plot bifurcation diagrams Visualize stable and unstable manifolds Calculate Box Dimension While it presents the essential theoretical concepts and results, the book's emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.

Chaotic and Fractal Dynamics

An Introduction for Applied Scientists and Engineers

Author: F. C. Moon

Publisher: Wiley-Interscience


Category: Science

Page: 508

View: 4420

"The revisions and enhancements in Chaotic and Fractal Dynamics not only reflect new developments in this fast-moving field but are also responses to the requests of many readers who applauded the original edition's stress on physical systems and experiments. Accordingly, this updated edition now includes problems that appear at the end of every chapter making the book more suitable for use as a text; an entirely new chapter devoted to summarizing basic concepts of coupled iterative difference equations or maps as they relate to chaotic dynamics; more coverage of fractals, including an introduction to muitifractals; an expanded number of physical applications, including new references to experimental observations of chaos, along with appropriate mathematical models; additional discussion of experimental tools used to predict and quantify chaotic dynamics in physical systems; new material on empirical and theoretical criteria for chaos; an introduction to a major new direction in chaos research-spatio-temporal dynamics; and more than 100 new references throughout the book and an expanded listing of chaotic toys and experiments in the appendices.".

Deterministic Nonlinear Systems

A Short Course

Author: Vadim S. Anishchenko,Tatyana E. Vadivasova,Galina I. Strelkova

Publisher: Springer

ISBN: 3319068717

Category: Science

Page: 294

View: 7338

This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

Treating the Dental Patient with a Developmental Disorder

Author: Karen A. Raposa,Steven P. Perlman

Publisher: John Wiley & Sons

ISBN: 111829324X

Category: Medical

Page: 296

View: 2906

Treating the Dental Patient with a Developmental Disorder provides a basic understanding of patients with developmental and intellectual disorders and offers help in communicating with and treating with developmental disabilities, including autism spectrum disorders, Down Syndrome, attention deficit, cerebral palsy, spina bifida, learning disabilities, and others. Presents descriptions of most common forms of developmental and intellectual disorders Provides practical methods of caring for patients with these disabilities, including how to guide and model behavior Offers practice management tips to accommodate patients with special needs, particularly those with autism Includes instructions to give caregivers for home oral therapy

Dynamics of Smart Systems and Structures

Concepts and Applications

Author: Vicente Lopes Junior,Valder Steffen Jr.,Marcelo Amorim Savi

Publisher: Springer

ISBN: 3319299824

Category: Technology & Engineering

Page: 342

View: 6755

Written by a team of experts that has been working together for several years in the context of a research network involving international institutions, this book brings several applications related to smart material systems such as vibration and noise control, structural health monitoring, energy harvesting and shape memory alloys. Furthermore, this book also provides basic knowledge on the fundamentals of smart material systems and structures. Consequently, the present title serves as an important resource for advanced undergraduate and graduate students. In addition, it serves as a guide for engineers and scientists working with smart structures and materials both with an application and basic research perspective. Smart material systems and structures represent a new paradigm which is increasing the capabilities of engineering systems. Adaptability and versatility are some important aspects related to such systems. In brief, research on smart materials is characterized by synergistically combining different physical features, such as mechanical, electrical, chemical, and magnetic. As a result, smart material technologies have a huge potential to enhance the performance of engineering structures opening unlimited opportunities to innovation and economic benefits.

Laws of Chaos

Invariant Measures and Dynamical Systems in One Dimension

Author: Abraham Boyarsky

Publisher: Boston : Birkhäuser

ISBN: 9780817640033

Category: Mathematics

Page: 399

View: 5314

Combines three important areas of modern mathematics - dynamical systems, measure theory, and ergodic theory. Contains practical applications as diverse as random number generation, computer modeling, rotary drills, population dynamics and projective geometry. DLC: Chaotic behavior in systems.

Evolutionary Computation in Economics and Finance

Author: Shu-Heng Chen

Publisher: Springer Science & Business Media

ISBN: 9783790814767

Category: Computers

Page: 460

View: 312

After a decade's development, evolutionary computation (EC) proves to be a powerful tool kit for economic analysis. While the demand for this equipment is increasing, there is no volume exclusively written for economists. This volume for the first time helps economists to get a quick grasp on how EC may support their research. A comprehensive coverage of the subject is given, that includes the following three areas: game theory, agent-based economic modelling and financial engineering. Twenty leading scholars from each of these areas contribute a chapter to the volume. The reader will find himself treading the path of the history of this research area, from the fledgling stage to the burgeoning era. The results on games, labour markets, pollution control, institution and productivity, financial markets, trading systems design and derivative pricing, are new and interesting for different target groups. The book also includes informations on web sites, conferences, and computer software.

The Borderline Patient

Emerging Concepts in Diagnosis, Psychodynamics, and Treatment

Author: James S. Grotstein,Marion F. Solomon,Joan A. Lang

Publisher: Routledge

ISBN: 1317771702

Category: Psychology

Page: 350

View: 9569

This volume focuses on treatment issues pertaining to patients with borderline psychopathology. A section on psychoanalysis and psychoanalytic psychotherapy (with contributors by V. Volkan, H. Searles, O. Kernberg, L. B. Boyer, and J. Oremland, among others) is followed by a section exploring a variety of alternative approaches. The latter include psychopharmacology, family therapy, milieu treatment, and hospitalization. The editors' concluding essay discusses the controversies and convergences among the different treatment approaches.


Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A


Category: Academic libraries

Page: N.A

View: 3413


The Debt Delusion

Evolution and Management of Financial Risk

Author: Will Slatyer

Publisher: Universal-Publishers

ISBN: 1599429950

Category: Business & Economics

Page: 256

View: 4305

In the twenty-first century, corporations delude themselves that their operations are capitalist. In fact the high levels of debt, based on dubious assets reflect "debtism" not "capitalism." Over the ages, debt has crippled countries and economies, companies, large and small, because of biased optimism by lenders and borrowers. Debt is the most common global financial risk and needs to be controlled at Board level, even before trained executives endeavour risk management. The Debt Delusion provides a history of money and debt that should lead all Directors and executives to study recommended ways to manage debt. Management of debt will be extremely important in 2008.

Schönheit im Chaos

Bilder aus der theorie komplexer Systeme

Author: Benoit B. Mandelbrot,Peter H. Richter,Goethe-Institut (Munich, Germany)

Publisher: N.A


Category: Computer graphics

Page: 108

View: 8623