Regular And Chaotic Dynamics

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Regular And Chaotic Dynamics

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Author : A.J. Lichtenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Regular And Chaotic Dynamics written by A.J. Lichtenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

What's in a name? The original title of our book, Regular and Stochastic Motion, was chosen to emphasize Hamiltonian dynamics and the physical motion of bodies. The new edition is more evenhanded, with considerably more discussion of dissipative systems and dynamics not involving physical motion. To reflect this partial change of emphasis, we have substituted the more general terms in our title. The common usage of the new terms clarifies the emphasis of the book. The main change in the book has been to expand the sections on dissipative dynamics, including discussion of renormalization, circle maps, intermittancy, crises, transient chaos, multifractals, reconstruction, and coupled mapping systems. These topics were either mainly in the mathemati cal literature or essentially unstudied when our first edition was written. The volume of work in these areas has surpassed that in Hamiltonian dynamics within the past few years. We have also made changes in the Hamiltonian sections, adding many new topics such as more general transformation and stability theory, connected stochasticity in two-dimensional maps, converse KAM theory, new topics in diffusion theory, and an approach to equilibrium in many dimensions. Other sections such as mapping models have been revised to take into account new perspectives. We have also corrected a number of misprints and clarified various arguments with the help of colleagues and students, some of whom we acknowledge below. We have again chosen not to treat quantum chaos, partly due to our own lack ofacquaintance with the subject.

Regular And Chaotic Dynamics

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Author : Allan J. Lichtenberg
language : en
Publisher:
Release Date : 1992-01-01

Regular And Chaotic Dynamics written by Allan J. Lichtenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Hamiltonian systems categories.

Regular And Chaotic Dynamics

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Author : Allan Lichtenberg
language : en
Publisher:
Release Date : 2014-01-15

Regular And Chaotic Dynamics written by Allan Lichtenberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Regular And Chaotic Dynamics

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Author :
language : en
Publisher:
Release Date :

Regular And Chaotic Dynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Predictability Of Chaotic Dynamics

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Author : Juan C. Vallejo
language : en
Publisher: Springer
Release Date : 2017-03-27

Predictability Of Chaotic Dynamics written by Juan C. Vallejo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-27 with Science categories.

This book is primarily concerned with the computational aspects of predictability of dynamical systems – in particular those where observation, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, for instance in celestial mechanics, one is confronted with the observation and modeling of systems without the possibility of altering the key parameters of the objects studied. Therefore, the numerical simulations offer an essential tool for analyzing these systems. With the widespread use of computer simulations to solve complex dynamical systems, the reliability of the numerical calculations is of ever-increasing interest and importance. This reliability is directly related to the regularity and instability properties of the modeled flow. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the finite-time Lyapunov exponents approach. The method is illustrated using a number of well-known continuous dynamical systems, including the Contopoulos, Hénon-Heiles and Rössler systems. To help students and newcomers quickly learn to apply these techniques, the appendix provides descriptions of the algorithms used throughout the text and details how to implement them in order to solve a given continuous dynamical system.

Rigid Body Dynamics

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Author : Alexey Borisov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-03

Rigid Body Dynamics written by Alexey Borisov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-03 with Science categories.

This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids

Issues In Statistics Decision Making And Stochastics 2011 Edition

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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2012-01-09

Issues In Statistics Decision Making And Stochastics 2011 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-09 with Mathematics categories.

Issues in Statistics, Decision Making, and Stochastics: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Statistics, Decision Making, and Stochastics. The editors have built Issues in Statistics, Decision Making, and Stochastics: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Statistics, Decision Making, and Stochastics in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Statistics, Decision Making, and Stochastics: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Dynamical Tunneling

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Author : Srihari Keshavamurthy
language : en
Publisher: CRC Press
Release Date : 2011-03-09

Dynamical Tunneling written by Srihari Keshavamurthy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-09 with Science categories.

A prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling: Theory and Experiment presents the work of i

Femtochemistry Ultrafast Chemical And Physical Processes In Molecular Systems

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Author : Majed Chergui
language : en
Publisher: World Scientific
Release Date : 1996-04-30

Femtochemistry Ultrafast Chemical And Physical Processes In Molecular Systems written by Majed Chergui and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-30 with categories.

This book highlights the latest experimental and theoretical developments in the field of femtochemistry, with papers describing the physics and chemistry of ultrafast processes in small molecules, complex molecular systems, clusters, biological systems, solids, matrices, liquids and at surfaces and interfaces. The recent developments in frequency-domain studies of femtodynamics are also presented. In addition, the latest achievements in femtosecond control of chemical reactions are presented, together with the newest techniques in real-time probing of reactions such as ultrafast x-ray or electron diffraction. The papers are rich in references giving a clearcut state-of-the-art of the topics being discussed. The book should be a valuable tool to all persons in the field and to young scientists.Contributors include: A H Zewail, J Jortner, V S Letokhov, J Manz, R S Berry, C Wittig, K B Eisenthal, A W Castleman Jr., J T Hynes, W H Gadzuk, R Kosloff, S Mukamel, K R Wilson; G Fleming, D Wiersma, K Yoshihara, V Sundström, A Apkarian, N Scherer, A Myers, R Schinke, J R Huber, R B Gerber, G Gerber and P M Champion.

Introduction To Mathematical Modeling And Chaotic Dynamics

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Author : Ranjit Kumar Upadhyay
language : en
Publisher: CRC Press
Release Date : 2013-07-23

Introduction To Mathematical Modeling And Chaotic Dynamics written by Ranjit Kumar Upadhyay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-23 with Mathematics categories.

Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB.The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural sci