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Nonlinearity And Chaos In Molecular Vibrations
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Book Synopsis Nonlinearity and Chaos in Molecular Vibrations by : Guozhen Wu
Download or read book Nonlinearity and Chaos in Molecular Vibrations written by Guozhen Wu and published by Elsevier. This book was released on 2005-07-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and Chaos in Molecular Vibrations deals systematically with a Lie algebraic approach to the study of nonlinear properties of molecular highly excited vibrations. The fundamental concepts of nonlinear dynamics such as chaos, fractals, quasiperiodicity, resonance, and the Lyapunov exponent, and their roles in the study of molecular vibrations are presented. The 20 chapters cover the basic ideas, the concept of dynamical groups, the integrable two-mode SU(2) system, the unintegrable three-mode SU(3) system, the noncompact su(1,1) algebraic application, su(3) symmetry breaking and its application and the quantal effect of asymmetric molecular rotation. Emphasis is given to: resonance and chaos, the fractal structure of eigencoefficients, the C-H bend motion of acetylene, regular and chaotic motion of DCN, the existence of approximately conserved quantum numbers, one-electronic motion in multi-sites, the Lyapunov exponent, actions of periodic trajectories and quantization, the H function and its application in vibrational relaxation as well as the Dixon dip and its destruction and chaos in the transitional states. This approach bridges the gap between molecular vibrational spectroscopy and nonlinear dynamics. The book presents a framework of information that readers can use to build their knowledge, and is therefore highly recommended for all those working in or studying molecular physics, molecular spectroscopy, chemical physics and theoretical physics. * Discusses nonlinearity and chaotic phenomena in molecular vibrations * Approaches the complicated highly excited molecular vibration * Provides clear information for students and researchers looking to expand knowledge in this field
Book Synopsis Molecular Vibrations by : Wu Guozhen
Download or read book Molecular Vibrations written by Wu Guozhen and published by World Scientific. This book was released on 2018-08-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the main idea that highly-excited molecular vibration is a nonlinear, many-body and semiclassical system. Therefore, many ideas and techniques in nonlinear fields such as chaos, resonance, Lyapunov exponent, etc. can be incorporated into this study. Together with the Lie algebraic coset algorithm, readers are able to approach the topics in a simple arithmetic and realistic way in contrast to the traditional solving of Schrödinger equation. Covering the author's research in over two decades, these works bridge the gaps between molecular vibration and nonlinear sciences, many new characters are introduced for molecular highly-excited vibration from a fresh viewpoint of nonlinearity, especially, the chaos. Related works of the elementary ideas in this field can be found in the first three chapters for the readers to be familiar with, while the rest of the chapters offer concrete examples with flourishing ideas and results on system dynamics which are not known or neglected by the traditional wave function algorithm.
Download or read book Chaotic Vibrations written by F. C. Moon and published by Wiley-VCH. This book was released on 1987-11-02 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Book Synopsis Chaos In Laser-matter Interactions by : Peter W Milonni
Download or read book Chaos In Laser-matter Interactions written by Peter W Milonni and published by World Scientific Publishing Company. This book was released on 1987-06-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Dissipative Systems: Introduction Nonlinearity Period Doubling to Chaos Lyapunov Exponent Power Spectra Correlations Remarks Feigenbaum Universality Feigenbaum Universality: Outline of Exact Renormalization Theory Experimental Observations Duffing Oscillator Period Doubling to Chaos in a CO2 Laser Experiment Bifurcations Intermittency (Pomeau-Manneville) Route to Chaos Quasiperiodicity to Chaos: Ruelle-Takens-Newhouse Scenario Strange Attractors, Dimensions, and Fractals Measuring Lyapunov Exponents Measuring Dimensions Kolmogorov Entropy Noise Maxwell-Bloch Equations Lorentz Model and Single-Mode Laser Single-Mode Instabilities: Homogeneous Broadening Mode Splitting Inhomogeneous Broadening: Chaos Associated with Casperson Instability Inhomogeneous Broadening: Experiments Multimode Instabilities Physical Explanations of Self-Pulsing Instabilities Transverse Mode Effects More Laser Instabilities Optical Bistability Chaos in Optically Bistability Hamiltonian Systems: Classical Hamiltonian Systems Integrability and Action-Angle Variables Integrability, Invariant Tori, and Quasiperiodicity Ergodicity, Mixing, and Chaos Fermi-Pasta-Ulam Model KAM Theorem Overlapping Resonances Henon-Heiles Model Characterization of Chaotic Behavior Is Classical Physics Really Deterministic? Kicked Pendulum and Standard Mapping Chaos in a Classical Model of Multiple-Photon Excitation of Molecular Vibrations Chaos in a Classical Model of a Rotating Molecule in a Laser Field Stochastic Excitation Quantum Chaos Regular and Irregular Spectra Kicked Two-State System Chaos in the Jaynes-Cummings Model Quantum Theory of the Kicked Pendulum Localization Classical and Quantum Calculations for a Hydrogen Atom in a Microwave Field Epilogue Readership: Laser scientists and engineers, physicists, applied mathematicians and researchers in nonlinear dynamics. Related Books Free and Guided Optical Beams Laser Cleaning II A Bouquet of Numbers and Other Scientific Offerings Universal Fluctuations Geometric Perturbation Theory in Physics
Book Synopsis Applications of Advanced Electromagnetics by : Guennadi A. Kouzaev
Download or read book Applications of Advanced Electromagnetics written by Guennadi A. Kouzaev and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text, directed to the microwave engineers and Master and PhD students, is on the use of electromagnetics to the development and design of advanced integrated components distinguished by their extended field of applications. The results of hundreds of authors scattered in numerous journals and conference proceedings are carefully reviewed and classed. Several chapters are to refresh the knowledge of readers in advanced electromagnetics. New techniques are represented by compact electromagnetic–quantum equations which can be used in modeling of microwave-quantum integrated circuits of future In addition, a topological method to the boundary value problem analysis is considered with the results and examples. One extended chapter is for the development and design of integrated components for extended bandwidth applications, and the technology and electromagnetic issues of silicon integrated transmission lines, transitions, filters, power dividers, directional couplers, etc are considered. Novel prospective interconnects based on different physical effects are reviewed as well. The ideas of topology is applicable to the electromagnetic signaling and computing, when the vector field maps can carry discrete information, and this area and the results in topological signaling obtained by different authors are analyzed, including the recently designed predicate logic processor operating spatially represented signal units. The book is rich of practical examples, illustrations, and references and useful for the specialists working at the edge of contemporary technology and electromagnetics.
Book Synopsis Modern Nonlinear Optics, Volume 119, Part 2 by : Myron W. Evans
Download or read book Modern Nonlinear Optics, Volume 119, Part 2 written by Myron W. Evans and published by John Wiley & Sons. This book was released on 2004-08-04 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition will provide the sole comprehensive resource available for non-linear optics, including detailed descriptions of the advances over the last decade from world-renowned experts.
Book Synopsis Modern Nonlinear Optics by : Myron Wyn Evans
Download or read book Modern Nonlinear Optics written by Myron Wyn Evans and published by . This book was released on 2001 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Nonlinear Chemical Dynamics by : Irving R. Epstein
Download or read book An Introduction to Nonlinear Chemical Dynamics written by Irving R. Epstein and published by Oxford University Press. This book was released on 1998-10-22 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
Book Synopsis Quantum Systems in Physics, Chemistry and Biology - Theory, Interpretation and Results by :
Download or read book Quantum Systems in Physics, Chemistry and Biology - Theory, Interpretation and Results written by and published by Academic Press. This book was released on 2019-01-05 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Systems in Physics, Chemistry and Biology, Theory, Interpretation, and Results, Volume 78, the latest release in the Advances in Quantum Chemistry series presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology. It features detailed reviews written by leading international researchers. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry and biology Features detailed reviews written by leading international researchers
Book Synopsis Nonlinear Dynamics and Chaos by : J Hogan
Download or read book Nonlinear Dynamics and Chaos written by J Hogan and published by CRC Press. This book was released on 2002-08-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.
Book Synopsis Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches by : Jan Awrejcewicz
Download or read book Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches written by Jan Awrejcewicz and published by Springer Nature. This book was released on 2022-01-01 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference “Dynamical Systems: Theory and Applications”, held in Łódź, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Book Synopsis Laser Spectroscopy of Highly Vibrationally Excited Molecules by : Vladilen Stepanovich Letokhov
Download or read book Laser Spectroscopy of Highly Vibrationally Excited Molecules written by Vladilen Stepanovich Letokhov and published by CRC Press. This book was released on 2021-07-28 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laser spectroscopy has been perfected over the last fifteen years to become a precise tool for the investigation of highly vibrationally excited molecules. Intense infrared laser radiation permits both the multiple-photon resonant excitation and the dissociation of polyatomic molecules. In this book, the latest results of some of the foremost Soviet researchers are published for the first time in the West. Laser Spectroscopy of Highly Vibrationally Excited Molecules contains a comprehensive study of both the experimental and theoretical aspects of the basic photophysical interactions that occur in these processes. The book first focuses on the nonlinear interaction between the resonant vibrational mode and the intense infrared field and then examines the nonlinear interaction between the vibrational modes themselves due to anharmonicity. These interrelated processes determine all the characteristics of polyatomic molecules in an infrared field. The book also discusses related phenomena such as spectra broadening, optical resonance, photon echoes, and dynamical chaos. It includes examples of multiple-photon resonant excitation such as the excitation of OsO4 by CO^O2 laser radiation, which is detected by the visible luminescence that results. This book will be of great interest to researchers and postgraduate students in infrared laser spectroscopy and the laser chemistry of molecules and applications of isotope separation.
Book Synopsis Non-Linear Dynamics and Fundamental Interactions by : Faqir Khanna
Download or read book Non-Linear Dynamics and Fundamental Interactions written by Faqir Khanna and published by Springer Science & Business Media. This book was released on 2006-06-26 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the NATO Advanced Research Institute on "Non-Linear Dynamics and Fundamental Interactions" held in Tashkent, Uzbekistan, from Oct.10-16,2004. The main objective of the Workshop was to bring together people working in areas of Fundamental physics relating to Quantum Field Theory, Finite Temperature Field theory and their applications to problems in particle physics, phase transitions and overlap regions with the areas of Quantum Chaos. The other important area is related to aspects of Non-Linear Dynamics which has been considered with the topic of chaology. The applications of such techniques are to mesoscopic systems, nanostructures, quantum information, particle physics and cosmology. All this forms a very rich area to review critically and then find aspects that still need careful consideration with possible new developments to find appropriate solutions. There were 29 one-hour talks and a total of seven half-hour talks, mostly by the students. In addition two round table discussions were organised to bring the important topics that still need careful consideration. One was devoted to questions and unsolved problems in Chaos, in particular Quantum Chaos. The other round table discussion considered the outstanding problems in Fundamental Interactions. There were extensive discussions during the two hours devoted to each area. Applications and development of new and diverse techniques was the real focus of these discussions. The conference was ably organised by the local committee consisting of D.U.
Book Synopsis Encyclopedia of Nonlinear Science by : Alwyn Scott
Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Book Synopsis Hencky Bar-chain/net For Structural Analysis by : Chien Ming Wang
Download or read book Hencky Bar-chain/net For Structural Analysis written by Chien Ming Wang and published by World Scientific. This book was released on 2020-04-30 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an emerging discrete structural model, the Hencky bar-chain/net model (HBM) has shown its advantages over other numerical methods in some problems. Owing to the discrete properties of HBM, it is also a suitable model for nano-scale structures which are currently a very hot research topic in mechanics.This book introduces the concepts and previous research of the Hencky bar-chain/net model, before demonstrating how beams, columns, arches, rectangular plates and circular plates could be successfully modelled by HBM. HBM comprises rigid bars connected by frictionless hinges with elastic rotational springs (and a system of torsional springs in the cells for plates). In the treatment of the above-mentioned structures, HBM is found to be mathematically equivalent to the first order central finite difference method (FDM). So HBM may be regarded as the physical structural model behind the FDM.This book is a compilation of the authors' research on the development of the Hencky bar-chain/net model, and is organized according to the development and application of HBM for beams, columns, frames, arches and rings, and plates. Exercises are provided at the end of each chapter to aid comprehension and guide learning. It is a useful reference for students, researchers, academics and practitioners in the field of structural analysis.
Book Synopsis Vibrational Spectroscopy by : Guozhen Wu
Download or read book Vibrational Spectroscopy written by Guozhen Wu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-15 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents principles of molecular vibrational spectroscopy from the viewpoint of Raman, Raman optical activity and high excitation. The quantum mechanical basis, vibrational analysis, representation of point groups and its applications are discussed as well. With exercises, it is an essential text for graduates, lecturers, and also researchers.
Book Synopsis Visions of Nonlinear Science in the 21st Century by : Jose L Huertas
Download or read book Visions of Nonlinear Science in the 21st Century written by Jose L Huertas and published by World Scientific. This book was released on 1999-07-03 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative and visionary, this festschrift features 12 highly readable expositions of virtually all currently active aspects of nonlinear science. It has been painstakingly researched and written by leading scientists and eminent expositors, including L Shilnikov, R Seydel, I Prigogine, W Porod, C Mira, M Lakshmanan, W Lauterborn, A Holden, H Haken, C Grebogi, E Doedel and L Chua; each chapter addresses a current and intensively researched area of nonlinear science and chaos, including nonlinear dynamics, mathematics, numerics and technology. Handsomely produced with high resolution color graphics for enhanced readability, this book has been carefully written at a high level of exposition and is somewhat self-contained. Each chapter includes a tutorial and background information, as well as a survey of each area's main results and state of the art. Of special interest to both beginners and seasoned researchers is the identification of future trends and challenging yet tractable problems that are likely to be solved before the end of the 21st century. The visionary and provocative nature of this book makes it a valuable and lasting reference. Contents:Chua's Circuit and the Qualitative Theory of Dynamical Systems (C Mira)Nonlinear Science and the Laws of Nature (I Prigogine)Visions of Synergetics (H Haken)Mathematical Problems of Nonlinear Dynamics: A Tutorial (L Shilnikov)Experimental Nonlinear Physics (W Lauterborn et al.)Nonlinear Physics: Integrability, Chaos and Beyond (M Lakshmanan)Nonlinear Science: The Impact of Biology (A V Holden)Nonlinear Computation (R Seydel)Nonlinear Numerics (E Doedel)Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future (C Mira)Control and Applications of Chaos (C Grebogi et al.)Quantum Dot Devices and Quantum-Dot Cellular Automata (W Porod)CNN: A Paradigm for Complexity (L O Chua) Readership: Nonlinear scientists. Keywords:Chua's Circuit;Qualitative Theory;Dynamical Systems;Nonlinear Science;Laws of Nature;Visions of Synergetics;Experimental Nonlinear Physics;Nonlinear Dynamics;Nonlinear Physics;Integrability;Chaos;Nonlinear Computation;Nonlinear Numerics;Control of Chaos;Applications of Chaos;Quantum Dot Devices;Quantum-Dot Cellular Automata;CNN;Cellular Neural Networks
