Vibrational Dynamics Of Molecules

Vibrational Dynamics Of Molecules

Author: Joel M Bowman

Publisher: World Scientific

Published: 2022-06-14

Total Pages: 603

ISBN-13: 9811237921

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Vibrational Dynamics of Molecules represents the definitive concise text on the cutting-edge field of vibrational molecular chemistry. The chapter contributors are a Who's Who of world leaders in the field. The editor, Joel Bowman, is widely considered as one of the founding fathers of theoretical reaction dynamics. The included topics span the field, from fundamental theory such as collocation methods and vibrational CI methods, to interesting applications such as astrochemistry, supramolecular systems and virtual computational spectroscopy. This is a useful reference for theoretical chemists, spectroscopists, physicists, undergraduate and graduate students, lecturers and software developers.


Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos

Author: Steven H. Strogatz

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 532

ISBN-13: 0429961111

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.


Nonlinear Approaches in Engineering Applications

Nonlinear Approaches in Engineering Applications

Author: Reza N. Jazar

Publisher: Springer

Published: 2016-05-27

Total Pages: 428

ISBN-13: 3319270559

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This book looks at the broad field of engineering science through the lens of nonlinear approaches. Examples focus on issues in vehicle technology, including vehicle dynamics, vehicle-road interaction, steering, and control for electric and hybrid vehicles. Also included are discussions on train and tram systems, aerial vehicles, robot-human interaction, and contact and scratch analysis at the micro/nanoscale. Chapters are based on invited contributions from world-class experts in the field who advance the future of engineering by discussing the development of more optimal, accurate, efficient, and cost and energy effective systems. This book is appropriate for researchers, students, and practicing engineers who are interested in the applications of nonlinear approaches to solving engineering and science problems.


Nonlinear Dynamics of Nanobiophysics

Nonlinear Dynamics of Nanobiophysics

Author: Slobodan Zdravković

Publisher: Springer Nature

Published: 2022-12-07

Total Pages: 369

ISBN-13: 9811953236

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This book highlights important aspects of nonlinear dynamics of biophysical nanosystems, such as DNA, alpha helix, and microtubules. It presents the differences between the linear and nonlinear models in these molecules and includes interesting chapters on Soliton dynamics of the DNA molecule. This book is meant not only for researchers but also for both graduate and undergraduate students. Chapters include derivations, detailed explanations, and exercises for students. Therefore, the book is convenient to be used as a textbook in suitable courses.


Frontiers of Quantum Chemistry

Frontiers of Quantum Chemistry

Author: Marek J. Wójcik

Publisher: Springer

Published: 2017-11-06

Total Pages: 507

ISBN-13: 981105651X

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The purpose of this book is to convey to the worldwide scientific community the rapid and enthusiastic progress of state-of-the-art quantum chemistry. Quantum chemistry continues to grow with remarkable success particularly due to rapid progress in supercomputers. The usefulness of quantum chemistry is almost limitless. Its application covers not only physical chemistry but also organic and inorganic chemistry, physics, and life sciences. This book deals with all of these topics. Frontiers of Quantum Chemistry is closely related to the symposium of the same name held at Kwansei Gakuin University at Nishinomiya, Japan, in November 2015. The book's contributors, however, include not only invited speakers at the symposium but also many other distinguished scientists from wide areas of quantum chemistry around the world.


Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

Author: Vasile Marinca

Publisher: Springer Nature

Published: 2021-07-14

Total Pages: 479

ISBN-13: 303075653X

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This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of “optimal auxiliary functions” which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books “Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches”, Springer-2011 and “The Optimal Homotopy Asymptotic Method. Engineering Applications”, Springer-2015.


Topics in Nonlinear Dynamics, Volume 1

Topics in Nonlinear Dynamics, Volume 1

Author: Gaetan Kerschen

Publisher: Springer Science & Business Media

Published: 2013-05-24

Total Pages: 336

ISBN-13: 1461465702

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Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity


Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping

Molecular Dynamics and Spectroscopy by Stimulated Emission Pumping

Author: Hai-Lung Dai

Publisher: World Scientific

Published: 1995

Total Pages: 1154

ISBN-13: 9789810217495

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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.