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The Significance Of Nonlinearity In The Natural Sciences
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Book Synopsis The Significance of Nonlinearity in the Natural Sciences by : Stephan Mintz
Download or read book The Significance of Nonlinearity in the Natural Sciences written by Stephan Mintz and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: In accordance with the established tradition of these annual meetings under the aegis of Orbis Scientiae we have, this year, included the very important field of "The Significance of Non linearity in the Natural Sciences." We are pleased to join many scientists in recognizing the nonlinearity arising from the under lying interaction of all natural phenomena. It is tempting to say that in the long run things are nonlinear and that we shall have to design new techniques and methods to solve nonlinear equations. This year's Orbis Scientiae did include four sessions on nonlinear equations pertaining to elementary particle physics, molecular physics, fluid dynamics, and also to biology. Our Center intends to pursue the inclusions of these topics in its future Orbis Scientiae. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. The Editors v CONTENTS Some Recent Developments on Solitons in Two-Dimensional Field Theories 1 Andre Neveu Path Integral Quantization of Solitons. . . . . . . . . . 17 A. Jevicki Nontopological Solitons 39 R. Friedberg Vacuum Bubble Instantons 57 P. H. Frampton Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence . . . . . 67 Henry C. Yuen and Bruce M. Lake Solitons as Particles, and the Effects of Perturbations . . . . 97 D. J. Kaup The Formulation of Variational Principles by Means of Clebsch Potentials .
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by : Stephan Mintz
Download or read book The Significance of Nonlinearity in the Natural Sciences written by Stephan Mintz and published by . This book was released on 2014-01-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by :
Download or read book The Significance of Nonlinearity in the Natural Sciences written by and published by . This book was released on 1977 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by : Behram Kurşunoğlu
Download or read book The Significance of Nonlinearity in the Natural Sciences written by Behram Kurşunoğlu and published by Springer. This book was released on 1977-08 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: In accordance with the established tradition of these annual meetings under the aegis of Orbis Scientiae we have, this year, included the very important field of "The Significance of Non linearity in the Natural Sciences." We are pleased to join many scientists in recognizing the nonlinearity arising from the under lying interaction of all natural phenomena. It is tempting to say that in the long run things are nonlinear and that we shall have to design new techniques and methods to solve nonlinear equations. This year's Orbis Scientiae did include four sessions on nonlinear equations pertaining to elementary particle physics, molecular physics, fluid dynamics, and also to biology. Our Center intends to pursue the inclusions of these topics in its future Orbis Scientiae. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. The Editors v CONTENTS Some Recent Developments on Solitons in Two-Dimensional Field Theories 1 Andre Neveu Path Integral Quantization of Solitons. . . . . . . . . . 17 A. Jevicki Nontopological Solitons 39 R. Friedberg Vacuum Bubble Instantons 57 P. H. Frampton Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence . . . . . 67 Henry C. Yuen and Bruce M. Lake Solitons as Particles, and the Effects of Perturbations . . . . 97 D. J. Kaup The Formulation of Variational Principles by Means of Clebsch Potentials .
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by :
Download or read book The Significance of Nonlinearity in the Natural Sciences written by and published by . This book was released on 1977 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by : A. Perlmutter
Download or read book The Significance of Nonlinearity in the Natural Sciences written by A. Perlmutter and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Significance of Nonlinearity in the Natural Sciences by :
Download or read book The Significance of Nonlinearity in the Natural Sciences written by and published by . This book was released on 1977 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Predictability and Nonlinear Modelling in Natural Sciences and Economics by : J. Grasman
Download or read book Predictability and Nonlinear Modelling in Natural Sciences and Economics written by J. Grasman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers in the natural sciences are faced with problems that require a novel approach to improve the quality of forecasts of processes that are sensitive to environmental conditions. Nonlinearity of a system may significantly complicate the predictability of future states: a small variation of parameters can dramatically change the dynamics, while sensitive dependence of the initial state may severely limit the predictability horizon. Uncertainties also play a role. This volume addresses such problems by using tools from chaos theory and systems theory, adapted for the analysis of problems in the environmental sciences. Sensitive dependence on the initial state (chaos) and the parameters are analyzed using methods such as Lyapunov exponents and Monte Carlo simulation. Uncertainty in the structure and the values of parameters of a model is studied in relation to processes that depend on the environmental conditions. These methods also apply to biology and economics. For research workers at universities and (semi)governmental institutes for the environment, agriculture, ecology, meteorology and water management, and theoretical economists.
Book Synopsis Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods by : Ronald E Mickens
Download or read book Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, And Averaging Methods written by Ronald E Mickens and published by World Scientific. This book was released on 2010-01-18 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of “truly nonlinear” (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods.The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations.
Book Synopsis Emergent Complexity from Nonlinearity, in Physics, Engineering and the Life Sciences by : Giorgio Mantica
Download or read book Emergent Complexity from Nonlinearity, in Physics, Engineering and the Life Sciences written by Giorgio Mantica and published by Springer. This book was released on 2017-03-07 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects contributions to the XXIII international conference “Nonlinear dynamics of electronic systems”. Topics range from non-linearity in electronic circuits to synchronisation effects in complex networks to biological systems, neural dynamics and the complex organisation of the brain. Resting on a solid mathematical basis, these investigations address highly interdisciplinary problems in physics, engineering, biology and biochemistry.
Book Synopsis Perspectives of Nonlinear Dynamics: Volume 1 by : E. Atlee Jackson
Download or read book Perspectives of Nonlinear Dynamics: Volume 1 written by E. Atlee Jackson and published by CUP Archive. This book was released on 1989 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.
Book Synopsis Nonlinear Laser Chemistry by : V. S. Letokhov
Download or read book Nonlinear Laser Chemistry written by V. S. Letokhov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prefaces are usually written when a manuscript is finished. Having finished this book I can clearly see many shortcomings in it. But if I began to eliminate them I would probably write quite a different book in another two years; indeed, this has already happened once. In 1979, when I finished the first version of this book, it was much broader in scope and was to be titled "Laser Photochemistry." Corrections and additions to that unpublished manuscript gave rise to the present book with its revised title and more specific subject matter. I resolved to have it published in exactly this form, despite the fact that it concerns a dynamically developing field of research and will soon make way for other works. This book contains the basic ideas and results I have been developing with my colleagues, friends and students at the Institute of Spectroscopy, USSR Academy of Sciences, in the town of Troitsk since 1970. It deals with the interaction of light with atoms and molecules via multiple-phonon inter action. Nonlinear processes in the resonant interaction are used to illustrate the physical mechanisms involved and to indicate how these processes have led to modern applications such as isotope separation, detection of single atoms and molecules, and chemical and biochemical synthesis.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1979 with total page 1254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of Orbis Scientiae 1977. on The Significance of Nonlinearity in the Natural Sciences. University of Miami. Coral Gables. Florida 17-21 January, 1977 by : Behram Kursunoglu
Download or read book Proceedings of Orbis Scientiae 1977. on The Significance of Nonlinearity in the Natural Sciences. University of Miami. Coral Gables. Florida 17-21 January, 1977 written by Behram Kursunoglu and published by . This book was released on 1977 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Ecology by : Charles G. Curtin
Download or read book Complex Ecology written by Charles G. Curtin and published by Cambridge University Press. This book was released on 2018-05-31 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: From climate change to species extinction, humanity is confronted with an increasing array of societal and environmental challenges that defy simple quantifiable solutions. Complexity-based ecology provides a new paradigm for ecologists and conservationists keen to embrace the uncertainty that is pressed upon us. This book presents key research papers chosen by some sixty scholars from various continents, across a diverse span of sub-disciplines. The papers are set alongside first person commentary from many of the seminal voices involved, offering unprecedented access to experts' viewpoints. The works assembled also shed light on the process of science in general, showing how the shifting of wider perspectives allows for new ideas to take hold. Ideal for undergraduate and advanced students of ecology and conservation, their educators and those working across allied fields, this is the first book of its kind to focus on complexity-based approaches and provides a benchmark for future collected volumes.
Book Synopsis Solitons and the Inverse Scattering Transform by : Mark J. Ablowitz
Download or read book Solitons and the Inverse Scattering Transform written by Mark J. Ablowitz and published by SIAM. This book was released on 1981-01-01 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localized pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation. For such exactly solvable problems, the inverse scattering transform provides the general solution of their initial value problems. It is equally surprising that some of these exactly solvable problems arise naturally as models of physical phenomena. Simply put, the inverse scattering transform is a nonlinear analog of the Fourier transform used for linear problems. Its value lies in the fact that it allows certain nonlinear problems to be treated by what are essentially linear methods. Chapters 1 and 2 of the book describe in detail the theory of the inverse scattering transform. Chapter 3 discusses alternate methods for these exactly solvable problems and the interconnections among them. Physical applications are described in Chapter 4, where, for example, similarities between deep water waves and nonlinear optics become evident. Because of the fundamental role of linear theory, there is an extensive appendix that addresses the linear problems and their solutions.
Book Synopsis Non-Human Nature in World Politics by : Joana Castro Pereira
Download or read book Non-Human Nature in World Politics written by Joana Castro Pereira and published by Springer Nature. This book was released on 2020-08-26 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the interconnections between world politics and non-human nature to overcome the anthropocentric boundaries that characterize the field of international relations. By gathering contributions from various perspectives, ranging from post-humanism and ecological modernization, to new materialism and post-colonialism, it conceptualizes the embeddedness of world politics in non-human nature, and proposes a reorientation of political practice to better address the challenges posed by climate change and the deterioration of the Earth’s ecosystems. The book is divided into two main parts, the first of which addresses new ways of theoretically conceiving the relationship between non-human nature and world politics. In turn, the second presents empirical investigations into specific case studies, including studies on state actors and international organizations and bodies. Given its scope and the new perspectives it shares, this edited volume represents a uniquely valuable contribution to the field.
