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Nonlinear Oscillations Of A Triatomic Molecule
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Book Synopsis Nonlinear Oscillations of a Triatomic Molecule by : Sean O. Wilson
Download or read book Nonlinear Oscillations of a Triatomic Molecule written by Sean O. Wilson and published by . This book was released on 2002-06-01 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to nonlinearity in the coupling, one of the vibrational modes of a straight symmetric triatomic molecule can be unstable for amplitudes greater than a threshold value, The instability is due to the mode parametrically exciting another mode. The threshold amplitude decreases if the difference of the frequency of the two modes is reduced. We consider the simplest case of a symmetric rectilinear molecule where the coupling has a cubic nonlinearity in addition to a linear restoring force. Approximate analytical results are in good agreement with numerical simulations of the exact equations of motion, although in some cases the actual behavior fundamentally deviates from the perturbative theory. Two physical demonstrations of the instability are described, where the apparatus are a system of gliders coupled by springs and magnets on an air track. Possible quantum mechanical implications are discussed. This work is a fundamental generalization of the parametric instability of two linearly coupled nonlinear oscillators that was reported in a previous investigation.
Book Synopsis An Introduction to Nonlinear Oscillations by : Ronald E. Mickens
Download or read book An Introduction to Nonlinear Oscillations written by Ronald E. Mickens and published by CUP Archive. This book was released on 1981 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory account of the equations describing nonlinear oscillations & the methods for solving them.
Book Synopsis Structure and Dynamics of Molecular Systems by : R. Daudel
Download or read book Structure and Dynamics of Molecular Systems written by R. Daudel and published by Springer Science & Business Media. This book was released on 1986-05-31 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the second of a set of two which contain 28 selected from the l. j. O invited lectures given at the internatim;al seminar of the same title held at the Centre de Mecanique Ondulatoire Appliquee du Centre National de la Recherche Scientifique in Paris (France) from October 1983 to May 1985. They are intended to provide a survey of topics of current interest relative to the structure and the dynamics of molecular systems. The papers have been selected on the basis of their relevance to the following four topics: i) molecular conformations and transformations; H) molecular relaxation and motion; iii) charge, spin and momentum distributions and intermolecular interactions; iv) collective phenomena in condensed matter. The first volume deals mostly with the first two topics, the second volume mostly with the last two. The two volumes consist of an approximately equal number of self-con tained, reference contributions covering recent achievements in active branches of molecular physics and physical chemistry. The first two papers of the present volume deal with theoretical aspects of intermolecular interactions: the first paper with the physical origin of the so-called non-exchange molecular terms, a complete deriva tion of which is given using Rayleigh-Schrodinger second-order perturba tion theory; the second paper with the symmetry analysis of the effects of interactions between rigid molecules and crystal environments, using the isodynamic-group theoretical approach devised by Altmann for non rigid systems.
Book Synopsis Classical Mechanics by : V. B. Bhatia
Download or read book Classical Mechanics written by V. B. Bhatia and published by Alpha Science Int'l Ltd.. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers the traditional classical mechanics and then introduces nonlinear oscillations and chaos. These subjects, particularly chaos, have become very important in the recent years and are now being included in courses in Physics and elsewhere. Even within classical mechanics subjects such as nearly circular orbits, virial theorem, anharmonic oscillator and precession and nutation of the earth have been included to make the book suit varied requirements. The book can be adopted for foundation courses on classical mechanics at graduate and post-graduate levels in physics, mathematics and astronomy and wherever else classical mechanics may be a requirement.A large number of problems interspersed throughout the text will induce the students to test the knowledge they had acquired before proceeding further. Another important feature is the appendix which contains some computer programs with essential instructions for solving integrals and differential equations and for plotting phase trajectories and strange attractors on the computer screen so that a student could draw these graphs independently.The short biographical sketches of great scientists and mathematicians who made important contributions to the subject might inspire some readers to look up the detailed biographies to gain some insight the way the science develops.
Book Synopsis Nonlinear Dynamics of Nanosystems by : Günter Radons
Download or read book Nonlinear Dynamics of Nanosystems written by Günter Radons and published by John Wiley & Sons. This book was released on 2010-01-12 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of the fundamental changes that occur when dynamical systems from the fields of nonlinear optics, solids, hydrodynamics and biophysics are scaled down to nanosize. The authors are leading scientists in the field and each of their contributions provides a broader introduction to the specific area of research. In so doing, they include both the experimental and theoretical point of view, focusing especially on the effects on the nonlinear dynamical behavior of scaling, stochasticity and quantum mechanics. For everybody working on the synthesis and integration of nanoscopic devices who sooner or later will have to learn how to deal with nonlinear effects.
Book Synopsis Physical Chemistry by : Robert G. Mortimer
Download or read book Physical Chemistry written by Robert G. Mortimer and published by Academic Press. This book was released on 2008-05-29 with total page 1416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this third edition, core applications have been added along with more recent developments in the theories of chemical reaction kinetics and molecular quantum mechanics, as well as in the experimental study of extremely rapid chemical reactions. * Fully revised concise edition covering recent developments in the field * Supports student learning with step by step explanation of fundamental principles, an appropriate level of math rigor, and pedagogical tools to aid comprehension * Encourages readers to apply theory in practical situations
Book Synopsis Nonlinear Oscillations in Biology by : F. C. Hoppensteadt
Download or read book Nonlinear Oscillations in Biology written by F. C. Hoppensteadt and published by . This book was released on 1979 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Oscillations in Physical Systems by : Chihiro Hayashi
Download or read book Nonlinear Oscillations in Physical Systems written by Chihiro Hayashi and published by Princeton University Press. This book was released on 2014-07-14 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental explanation of nonlinear oscillations in physical systems. Originally intended for electrical engineers, it remains an important reference for the increasing numbers of researchers studying nonlinear phenomena in physics, chemical engineering, biology, medicine, and other fields. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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: Assuming no more than an undergraduate knowledge of chemistry, the authors take the reader through the necessary mathematical and theoretical background of oscillating reactions, chaos and chemical waves to advanced topics of current research interest in chemical systems.
Book Synopsis Elegant Simulations: From Simple Oscillators To Many-body Systems by : Julien Clinton Sprott
Download or read book Elegant Simulations: From Simple Oscillators To Many-body Systems written by Julien Clinton Sprott and published by World Scientific. This book was released on 2022-12-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A recent development is the discovery that simple systems of equations can have chaotic solutions in which small changes in initial conditions have a large effect on the outcome, rendering the corresponding experiments effectively irreproducible and unpredictable. An earlier book in this sequence, Elegant Chaos: Algebraically Simple Chaotic Flows provided several hundred examples of such systems, nearly all of which are purely mathematical without any obvious connection with actual physical processes and with very limited discussion and analysis.In this book, we focus on a much smaller subset of such models, chosen because they simulate some common or important physical phenomenon, usually involving the motion of a limited number of point-like particles, and we discuss these models in much greater detail. As with the earlier book, the chosen models are the mathematically simplest formulations that exhibit the phenomena of interest, and thus they are what we consider 'elegant.'Elegant models, stripped of unnecessary detail while maximizing clarity, beauty, and simplicity, occupy common ground bordering both real-world modeling and aesthetic mathematical analyses. A computational search led one of us (JCS) to the same set of differential equations previously used by the other (WGH) to connect the classical dynamics of Newton and Hamilton to macroscopic thermodynamics. This joint book displays and explores dozens of such relatively simple models meeting the criteria of elegance, taste, and beauty in structure, style, and consequence.This book should be of interest to students and researchers who enjoy simulating and studying complex particle motions with unusual dynamical behaviors. The book assumes only an elementary knowledge of calculus. The systems are initial-value iterated maps and ordinary differential equations but they must be solved numerically. Thus for readers a formal differential equations course is not at all necessary, of little value and limited use.
Book Synopsis Mechanics and Thermodynamics by : Wolfgang Demtröder
Download or read book Mechanics and Thermodynamics written by Wolfgang Demtröder and published by Springer. This book was released on 2017-02-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.
Book Synopsis Plasma Physics and Engineering by : Alexander Fridman
Download or read book Plasma Physics and Engineering written by Alexander Fridman and published by CRC Press. This book was released on 2021-02-25 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma Physics and Engineering presents basic and applied knowledge on modern plasma physics, plasma chemistry, and plasma engineering for senior undergraduate and graduate students as well as for scientists and engineers working in academia; research labs; and industry with plasmas, laser and, combustion systems. This is a unique book providing a clear fundamental introduction to all aspects of modern plasma science, describing all electric discharges applied today from vacuum to atmospheric pressure and higher, from thermal plasma sources to essentially cold non-equilibrium discharges. A solutions manual is available for adopting professors, which is helpful in relevant university courses. Provides a lucid introduction to virtually all aspects of modern plasma science and technology Contains an extensive database on plasma kinetics and thermodynamics Includes many helpful numerical formulas for practical calculations, as well as numerous problems and concepts This revised edition includes new material on atmospheric pressure discharges, micro discharges, and different types of discharges in liquids Prof. Alexander Fridman is Nyheim Chair Professor of Drexel University and Director of C. & J. Nyheim Plasma Institute. His research focuses on plasma approaches to biology and medicine, to material treatment, fuel conversion, and environmental control. Prof. Fridman has almost 50 years of plasma research in national laboratories and universities of Russia, France, and the United States. He has published 8 books, and received numerous honors for his work, including Stanley Kaplan Distinguished Professorship in Chemical Kinetics and Energy Systems, George Soros Distinguished Professorship in Physics, the State Prize of the USSR, Plasma Medicine Award, Kurchatov Prize, Reactive Plasma Award, and Plasma Chemistry Award. Prof. Lawrence A. Kennedy is Dean of Engineering Emeritus and Professor of Mechanical Engineering Emeritus at the University of Illinois at Chicago and Professor of Mechanical Engineering Emeritus at the Ohio State University. His research focuses on chemically reacting flows and plasma processes. He is the author of more than 300 archival publications and 2 books, the editor of three monographs and served as Editor–in-Chief of the International Journal of Experimental Methods in Thermal and Fluid Science. Professor Kennedy was the Ralph W. Kurtz Distinguished Professor of Mechanical Engineering at OSU and the Stanley Kaplan University Scholar in Plasma Physics at UIC. Prof. Kennedy is also the recipient of numerous awards such as the American Society of Mechanical Engineers Heat Transfer Memorial Award (2008), and the Ralph Coats Roe Award from ASEE (1993). He is a Fellow of the American Society of Mechanical Engineers, the American Physical Society, the American Institute of Aeronautics and Astronautics and the American Association for the Advancement of Science.
Book Synopsis USAEC Translation List by : U.S. Atomic Energy Commission
Download or read book USAEC Translation List written by U.S. Atomic Energy Commission and published by . This book was released on 1967 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Oscillations by : Nicolai Minorsky
Download or read book Nonlinear Oscillations written by Nicolai Minorsky and published by . This book was released on 1962 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encounters In Nonlinear Optics - Selected Papers Of Nicolaas Bloembergen (With Commentary) by : Nicolaas Bloembergen
Download or read book Encounters In Nonlinear Optics - Selected Papers Of Nicolaas Bloembergen (With Commentary) written by Nicolaas Bloembergen and published by World Scientific. This book was released on 1996-09-14 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers in the field of nonlinear optics contains reprints of original research, and general reviews written since 1960 up to the present. Brief comments by the author place each paper in a historical context of the evolution of nonlinear optics. Papers are selected from a more comprehensive bibliography either on the basis of their influence on subsequent developments or because they were originally published in journals or conference proceedings which are less easily accessible.
Book Synopsis Survey of U.S.S.R. Literature on Air Pollution and Related Occupational Diseases by :
Download or read book Survey of U.S.S.R. Literature on Air Pollution and Related Occupational Diseases written by and published by . This book was released on 1966 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Soviet Journal of Chemical Physics by :
Download or read book Soviet Journal of Chemical Physics written by and published by . This book was released on 1991 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:
