#Regular And Chaotic Dynamics PDF

Download full Regular And Chaotic Dynamics Book or read online anytime anywhere, Available in PDF, ePub and Kindle. Click Get Books and find your favorite books in the online library. Create free account to access unlimited books, fast download and ads free! We cannot guarantee that book is in the library. READ as many books as you like (Personal use).

Regular and Chaotic Dynamics

by A.J. Lichtenberg
Publisher: Springer Science & Business Media
Release Date: 2013-03-14
Genre: Mathematics
Pages: 692 pages
ISBN 13: 1475721846
ISBN 10: 9781475721843
Format: PDF, ePUB, MOBI, Audiobooks, Kindle

GET EBOOK

Synopsis : Regular and Chaotic Dynamics written by A.J. Lichtenberg, published by Springer Science & Business Media which was released on 2013-03-14. Download Regular and Chaotic Dynamics Books now! Available in PDF, EPUB, Mobi Format. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. . Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. . Piccini/Stampacchia/Vidossich: Ordinary Differential Equations in R". . Naylor/Sell: Linear Operator ... -- This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects.

RELATED BOOKS
Regular and Chaotic Dynamics
Language: en
Pages: 692
Authors: A.J. Lichtenberg, M.A. Lieberman
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to chaotic motion, and the dynamical and statistical properties of the dynamics when it is chaotic. The new edition brings the subject matter in a rapidly expanding field up to date, and has greatly expanded the treatment of dissipative dynamics to include most important subjects.
Rigid Body Dynamics
Language: en
Pages: 533
Authors: Alexey Borisov, Ivan S. Mamaev
Categories: Science
Type: BOOK - Published: 2018-12-03 - Publisher: Walter de Gruyter GmbH & Co KG

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
Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping
Language: en
Pages: 1140
Authors: H-L Dai, R W Field
Categories: Science
Type: BOOK - Published: 1995-06-29 - Publisher: World Scientific

Since the first stimulated emission pumping (SEP) experiments more than a decade ago, this technique has proven powerful for studying vibrationally excited molecules. SEP is now widely used by increasing numbers of research groups to investigate fundamental problems in spectroscopy, intramolecular dynamics, intermolecular interactions, and even reactions. SEP provides rotationally pre-selected spectra of vibrationally highly excited molecules undergoing large amplitude motions. A unique feature of SEP is the ability to access systematically a wide variety of extreme excitations localized in various parts of a molecule, and to prepare populations in specific, high vibrational levels. SEP has made it possible to ask and answer specific questions about intramolecular vibrational redistribution and the role of vibrational excitation in chemical reactions. Contents:Experimental Methods and Spectroscopy of Vibrationally Excited Molecules:Resonant Four-Wave Mixing Spectroscopy: A New Probe for Vibrationally-Excited Species (P H Vaccaro)Femtosecond Transient Stimulated Emission Pumping: Theory and Experiment (L Hunziker et al.)Coherent Population Transfer (K Bergmann & B W Shore)Intramolecular Vibrational Redistribution and Unimolecular Dissociation:State-Specific Intramolecular and Dissociation Dynamics of HFCO (Y S Choi & C B Moore)High Resolution Spectroscopy of Chemical Isomerization: Stimulated Emission Pumping of HCN (D M Jonas et al.)Stimulated Emission Ion-Dip Spectroscopy of Jet-Cooled Molecules and Complexes: Vibrational Spectroscopy and Intramolecular Vibrational Redistribution (T Ebata & M Ito)Intermolecular Interactions:Probing Vibrational Relaxation with Stimulated Emission Pumping Spectroscopy (S H Kable et al.)Stimulated Emission Pumping as a Probe of the OH(X2II) + Ar Intermolecular Potential Energy Surface (M L Lester et al.)Theoretical Methods for Extracting Vibrational Dynamics:Spectroscopy and Dynamics in the Wings (E J Heller)Computation of SEP Spectra (C Leforestier & R E Wyatt)Trees from Spectra: Generation, Analysis, and Energy Transfer Information (M J Davis)Dynamical Analysis of Highly Excited Vibrational Spectra: Progress and Prospects (M E Kellman)and sixteen other papers Readership: Graduate students, chemists, physicists in molecular spectroscopy, chemical dynamics, chaos and nonlinear dynamics. keywords:
Predictability of Chaotic Dynamics
Language: en
Pages: 136
Authors: Juan C. Vallejo, Miguel A. F. Sanjuan
Categories: Science
Type: BOOK - Published: 2017-03-27 - Publisher: Springer

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.
Decoherence and Entropy in Complex Systems
Language: en
Pages: 403
Authors: Hans-Thomas Elze
Categories: Technology & Engineering
Type: BOOK - Published: 2004-01-20 - Publisher: Springer Science & Business Media

The contributions to this volume are based on selected lectures from the first international workshop on decoherence, information, complexity and entropy (DICE). The aim of this volume is to reflect the growing importance ot common concepts behind seemingly different fields such as quantum mechanics, general relativity and statistical physics in a form accessible to nonspecialist researchers. Many presentations include original results which published here for the first time.
Introduction to Mathematical Modeling and Chaotic Dynamics
Language: en
Pages: 363
Authors: Ranjit Kumar Upadhyay, Satteluri R. K. Iyengar
Categories: Mathematics
Type: BOOK - Published: 2013-07-23 - Publisher: CRC Press

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 science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Vorticity, Statistical Mechanics, and Monte Carlo Simulation
Language: en
Pages: 290
Authors: Chjan Lim, Joseph Nebus
Categories: Mathematics
Type: BOOK - Published: 2007-07-28 - Publisher: Springer Science & Business Media

This book is drawn from across many active fields of mathematics and physics. It has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them.
Issues in Statistics, Decision Making, and Stochastics: 2013 Edition
Language: en
Pages: 320
Authors: Chjan Lim, Joseph Nebus
Categories: Mathematics
Type: BOOK - Published: 2013-05-01 - Publisher: ScholarlyEditions

Issues in Statistics, Decision Making, and Stochastics: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Regular and Chaotic Dynamics. The editors have built Issues in Statistics, Decision Making, and Stochastics: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Regular and Chaotic Dynamics in this book 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: 2013 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/.
Femtochemistry
Language: en
Pages: 716
Authors: Majed Chergui
Categories: Mathematics
Type: BOOK - Published: 1996-04-30 - Publisher: World Scientific

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. Contents:Keynote and Overview PapersElementary ReactionsComplex Molecular SystemsClustersFemtodynamics from SpectroscopyControl; Biological SystemsSurfaces and InterfacesLiquidsSolids and MatricesTechniques and Methods Readership: Chemists, physicists, biophysicists and materials scientists. keywords:
Issues in Statistics, Decision Making, and Stochastics: 2011 Edition
Language: en
Pages: 286
Authors: Majed Chergui
Categories: Mathematics
Type: BOOK - Published: 2012-01-09 - Publisher: ScholarlyEditions

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/.
Regular and Chaotic Dynamics
Language: en
Pages: 720
Authors: Allan Lichtenberg
Categories: Mathematics
Type: BOOK - Published: 2014-01-15 - Publisher:

Books about Regular and Chaotic Dynamics
Dynamical Tunneling
Language: en
Pages: 436
Authors: Srihari Keshavamurthy, Peter Schlagheck
Categories: Science
Type: BOOK - Published: 2011-03-09 - Publisher: CRC Press

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 international experts who discuss the considerable progress that has been achieved in this arena in the past two decades. Highlights in this volume include: A historical introduction and overview of dynamical tunneling, with case histories ranging from simple and emblematic to complex and involving experimental counterparts An emphasis on the semiclassical theory of tunneling put forth by various research groups using different approaches Developments in tunneling with cold atoms and molecular manifestations Advances in our ability to perform delicate and precise experiments in atomic systems The visualization and control of photonic tunneling The role of dynamical tunneling on energy flow and localization in large molecules In the near future, complex tunneling processes occurring in few and many-body systems will be able to be predicted, understood, and controlled. Comprising all relevant topics and authors in the context of present-day research on dynamical tunneling, this self-contained volume provides readers with the basis for further discovery into the potential of this powerful phenomenon.