Nonlinearity And Chaos In Molecular Vibrations

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Nonlinearity And Chaos In Molecular Vibrations

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Author : Guozhen Wu
language : en
Publisher: Elsevier
Release Date : 2005-07-01

Nonlinearity And Chaos In Molecular Vibrations written by Guozhen Wu and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-01 with Science categories.

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

Molecular Vibrations An Algebraic And Nonlinear Approach

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Author : Guozhen Wu
language : en
Publisher: World Scientific
Release Date : 2018-08-07

Molecular Vibrations An Algebraic And Nonlinear Approach written by Guozhen Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-07 with Science categories.

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.

Chaos In Nonlinear Oscillators Controlling And Synchronization

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Author : M Lakshmanan
language : en
Publisher: World Scientific
Release Date : 1996-06-28

Chaos In Nonlinear Oscillators Controlling And Synchronization written by M Lakshmanan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-28 with Science categories.

This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.

Modern Nonlinear Optics Volume 119 Part 2

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Author : Myron W. Evans
language : en
Publisher: John Wiley & Sons
Release Date : 2004-08-04

Modern Nonlinear Optics Volume 119 Part 2 written by Myron W. Evans and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-04 with Science categories.

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.

Applications Of Advanced Electromagnetics

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Author : Guennadi A. Kouzaev
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-30

Applications Of Advanced Electromagnetics written by Guennadi A. Kouzaev 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 2012-10-30 with Technology & Engineering categories.

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.

Perspectives In Dynamical Systems Ii Mathematical And Numerical Approaches

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Author : Jan Awrejcewicz
language : en
Publisher: Springer Nature
Release Date : 2022-01-01

Perspectives In Dynamical Systems Ii Mathematical And Numerical Approaches written by Jan Awrejcewicz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.

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.

Recent Trends In Chaotic Nonlinear And Complex Dynamics

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Author : Jan Awrejcewicz
language : en
Publisher:
Release Date : 2021

Recent Trends In Chaotic Nonlinear And Complex Dynamics written by Jan Awrejcewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Chaotic behavior in systems categories.

Hencky Bar Chain Net For Structural Analysis

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Author : Chien Ming Wang
language : en
Publisher: World Scientific
Release Date : 2020-04-30

Hencky Bar Chain Net For Structural Analysis written by Chien Ming Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-30 with Technology & Engineering categories.

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.

Quantum Systems In Physics Chemistry And Biology Theory Interpretation And Results

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Author :
language : en
Publisher: Academic Press
Release Date : 2019-01-05

Quantum Systems In Physics Chemistry And Biology Theory Interpretation And Results written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-05 with Science categories.

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

Let S Face Chaos Through Nonlinear Dynamics

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Author : Marko Robnik
language : en
Publisher: American Institute of Physics
Release Date : 2008-12-04

Let S Face Chaos Through Nonlinear Dynamics written by Marko Robnik and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Computers categories.

This volume contains papers written by the invited lecturers and the contributors (short reports and posters). The papers do not necessarily cover exactly one-to-one what has been presented at the conference - for that we would need at least one thousand pages - but contains the material related to the presentations, either in the sense of a review (20%) or in the sense of a new original contribution (80%). The volume is a valuable source of scientific information in the general field of nonlinear science in its broadest sense, namely in the fundamental and applied physics, and in the interdisciplinary physics.