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Chaos And Dynamics Of Rays In Waveguide Media
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Book Synopsis Chaos and Dynamics of Rays in Waveguide Media by : Sadrilla S. Abdullaev
Download or read book Chaos and Dynamics of Rays in Waveguide Media written by Sadrilla S. Abdullaev and published by Routledge. This book was released on 1993 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique and timely work is devoted to the problems of ray theory of long-range wave propagation in regularly inhomogeneous media using the modern theory of dynamic systems. The author, updating an old field with modern methods, uses the general concepts of ray dynamics and some fairly simple notions of nonlinear dynamics to define the subject, making the rading easy for even non-specialists. The essential ideas are initially formulated with waveguides and resonators, after which the more complicated problems of nonlinear ray dynamics in mobile and heterogeneous media are discussed. This original material encompasses such concepts as nonlinear resonance, chaos, the devil's ladder, and kinetics. S.S. Abdullaev is at the Institute for Biocybernetics, Uzbekistan Academy of Sciences, Tashkent. He has been specialising in the theory of wave propagation since 1975.
Book Synopsis Ray and Wave Chaos in Ocean Acoustics by : Denis Makarov
Download or read book Ray and Wave Chaos in Ocean Acoustics written by Denis Makarov and published by World Scientific. This book was released on 2010 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the mid-1990s when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean. The phenomenon of ray chaos and its manifestation at a finite wavelength ? wave chaos ? have been investigated by combining methods from the theory of wave propagation and the theory of dynamical and quantum chaos. This book is the first monograph summarizing results obtained in this field. Emphasis is made on the exploration of ray and modal structures of the wave field in an idealized environmental model with periodic range dependence and in a more realistic model with sound speed fluctuations induced by random internal waves. The book is intended for acousticians investigating the long-range sound transmission through the fluctuating ocean and also for researchers studying waveguide propagation in other media. It will be of major interest to scientists working in the field of dynamical and quantum chaos.
Book Synopsis Hamiltonian Chaos Beyond the KAM Theory by : Albert C. J. Luo
Download or read book Hamiltonian Chaos Beyond the KAM Theory written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Book Synopsis Proceedings of the 5th Experimental Chaos Conference by : Mingzhou Ding
Download or read book Proceedings of the 5th Experimental Chaos Conference written by Mingzhou Ding and published by World Scientific. This book was released on 2001 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion. The proceedings present discoveries of chaotic behavior, explanation of nonlinear phenomena in the laboratory, and applications of nonlinear and chaotic effects to devices and techniques for improving performance and surmounting technical obstacles. Experimental work is presented on chaos in semiconductor superlattices, spatiotemporal chaos in magnetic materials, instabilities in magnetic fluids, bifurcations of hexagonal patterns in lasers, and discrete rotating waves. New phenomena are exhibited on amplitude death in coupled oscillators, vortex crystals, wakes in soap films, chaotic dynamics of ocean waves, and microscopic chaos. Applications of chaotic dynamics are offered in the areas of chaotic pulse trains in digital communications, detection of changes in EEGs, detection of unstable periodic orbits in noisy data, cellular automata and warfare, detection of n: m phase synchronization, methods in acoustic chaos, chaos in the machine tool-cutting process, and a nonlinear airfoil. The broad range of topics and fields touches on a wide variety of systems whose behavior is now better understood and applied through the use of chaotic dynamics
Download or read book Treatise on Geophysics written by and published by Elsevier. This book was released on 2015-04-17 with total page 5604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treatise on Geophysics, Second Edition, is a comprehensive and in-depth study of the physics of the Earth beyond what any geophysics text has provided previously. Thoroughly revised and updated, it provides fundamental and state-of-the-art discussion of all aspects of geophysics. A highlight of the second edition is a new volume on Near Surface Geophysics that discusses the role of geophysics in the exploitation and conservation of natural resources and the assessment of degradation of natural systems by pollution. Additional features include new material in the Planets and Moon, Mantle Dynamics, Core Dynamics, Crustal and Lithosphere Dynamics, Evolution of the Earth, and Geodesy volumes. New material is also presented on the uses of Earth gravity measurements. This title is essential for professionals, researchers, professors, and advanced undergraduate and graduate students in the fields of Geophysics and Earth system science. Comprehensive and detailed coverage of all aspects of geophysics Fundamental and state-of-the-art discussions of all research topics Integration of topics into a coherent whole
Book Synopsis Construction of Mappings for Hamiltonian Systems and Their Applications by : Sadrilla S. Abdullaev
Download or read book Construction of Mappings for Hamiltonian Systems and Their Applications written by Sadrilla S. Abdullaev and published by Springer. This book was released on 2006-08-02 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the study of the dynamics and chaos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systems by the discrete ones. Applications of the mapping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magnetically confinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics, dynamical astronomy, and accelerator physics. It should also be useful for applied mathematicians involved in analytical and numerical studies of dynamical systems.
Book Synopsis The 5th Experimental Chaos Conference by : Mingzhou Ding
Download or read book The 5th Experimental Chaos Conference written by Mingzhou Ding and published by World Scientific. This book was released on 2001-04-02 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion. The proceedings present discoveries of chaotic behavior, explanation of nonlinear phenomena in the laboratory, and applications of nonlinear and chaotic effects to devices and techniques for improving performance and surmounting technical obstacles. Experimental work is presented on chaos in semiconductor superlattices, spatiotemporal chaos in magnetic materials, instabilities in magnetic fluids, bifurcations of hexagonal patterns in lasers, and discrete rotating waves. New phenomena are exhibited on amplitude death in coupled oscillators, vortex crystals, wakes in soap films, chaotic dynamics of ocean waves, and microscopic chaos. Applications of chaotic dynamics are offered in the areas of chaotic pulse trains in digital communications, detection of changes in EEGs, detection of unstable periodic orbits in noisy data, cellular automata and warfare, detection of n:m phase synchronization, methods in acoustic chaos, chaos in the machine tool-cutting process, and a nonlinear airfoil. The broad range of topics and fields touches on a wide variety of systems whose behavior is now better understood and applied through the use of chaotic dynamics.
Download or read book Physical Review written by and published by . This book was released on 1999-02 with total page 1250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Book Synopsis Seismic Modelling of Earth Structure by : E. Boschi
Download or read book Seismic Modelling of Earth Structure written by E. Boschi and published by Compositori. This book was released on 1996 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Leonid M. Brekhovskikh Publisher :Springer Science & Business Media ISBN 13 :9783540655923 Total Pages :550 pages Book Rating :4.6/5 (559 download)
Book Synopsis Acoustics of Layered Media II by : Leonid M. Brekhovskikh
Download or read book Acoustics of Layered Media II written by Leonid M. Brekhovskikh and published by Springer Science & Business Media. This book was released on 1999-03-25 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acoustics of Layered Media II presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods. This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.
Book Synopsis Seismology and Structure of the Earth by : Barbara Romanowicz
Download or read book Seismology and Structure of the Earth written by Barbara Romanowicz and published by Elsevier. This book was released on 2010-04-20 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treatise on Geophysics: Seismology and Structure of the Earth, Volume 1, provides a comprehensive review of the state of knowledge on the Earths structure and earthquakes. It addresses various aspects of structural seismology and its applications to other fields of Earth sciences. The book is organized into four parts. The first part principally covers theoretical developments and seismic data analysis techniques from the end of the nineteenth century until the present, with the main emphasis on the development of instrumentation and its deployment. The second part reviews the status of knowledge on the structure of the Earths shallow layers, starting with a global review of the Earth's crustal structure. The third part focuses on the Earth's deep structure, divided into its main units: the upper mantle, the transition zone and upper-mantle discontinuities, the D region at the base of the mantle, and the Earth's core. The fourth part comprises two chapters which discuss constraints on Earth structure from fields other than seismology: mineral physics and geodynamics. - Self-contained volume starts with an overview of the subject then explores each topic with in depth detail - Extensive reference lists and cross references with other volumes to facilitate further research - Full-color figures and tables support the text and aid in understanding - Content suited for both the expert and non-expert
Book Synopsis Quantum Chaos Y2K by : Karl-Fredrik Berggren
Download or read book Quantum Chaos Y2K written by Karl-Fredrik Berggren and published by World Scientific. This book was released on 2001 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum chaos is becoming a very wide field that ranges from experiments to theoretical physics and purely mathematical issues. In view of this grand span, Nobel Symposium 116 focused on experiments and theory, and attempted to encourage interplay between them. There was emphasis on the interdisciplinary character of the subject, involving a broad range of subjects in physics, including condensed matter physics, nuclear physics, atomic physics and elementary particle physics. The physics involved in quantum chaos has much in common with acoustics, microwaves, optics, etc., and therefore the symposium also covered aspects of wave chaos in this broader sense. The program was structured according to the following areas: manifestations of classical chaos in quantum systems; transport phenomena; quantal spectra in terms of periodic orbits; semiclassical and random matrix approaches; quantum chaos in interacting systems; chaos and tunneling; wave-dynamic chaos. This important book constitutes the proceedings of the symposium.
Book Synopsis Treatise on Geophysics: Seismology and structure of the Earth by : Gerald Schubert
Download or read book Treatise on Geophysics: Seismology and structure of the Earth written by Gerald Schubert and published by . This book was released on 2007 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Treatise on geophysics is the only comprehensive, state-of-the-art, and integrated summary of the present state of geophysics. Offering an array of articles from some of the top scientists around the world, this 11-volume work deals with all major parts of solid-Earth geophysics, including a volume on the terrestrial planets and moons in our Solar System. This major reference work will aid researchers, advanced undergrad and graduate students, as well as professionals in cutting-edge research.
Book Synopsis Propagation and Polarization of Radiation in Cosmic Media by : Dolginov
Download or read book Propagation and Polarization of Radiation in Cosmic Media written by Dolginov and published by CRC Press. This book was released on 1995-04-13 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.
Book Synopsis Nonlinear Processes in Geophysics by :
Download or read book Nonlinear Processes in Geophysics written by and published by . This book was released on 2005 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Journal of the Acoustical Society of America by : Acoustical Society of America
Download or read book The Journal of the Acoustical Society of America written by Acoustical Society of America and published by . This book was released on 2005 with total page 1480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lagrangian Oceanography by : Sergey V. Prants
Download or read book Lagrangian Oceanography written by Sergey V. Prants and published by Springer. This book was released on 2017-03-27 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses the Lagrangian approach, especially useful and convenient for studying large-scale transport and mixing in the ocean, to present a detailed view of ocean circulation. This approach focuses on simulations and on monitoring the trajectories of fluid particles, which are governed by advection equations. The first chapter of the book is devoted to dynamical systems theory methods, which provide the framework, methodology and key concepts for the Lagrangian approach. The book then moves on to an analysis of chaotic mixing and cross-stream transport in idealized models of oceanic meandering currents like the Gulfstream in the Atlantic, the Kuroshio in the Pacific, and Antarctic Circumpolar Current, after which the current state of physical oceanography is reviewed. The latter half of the book applies the techniques and methods already described in order to study eddies, currents, fronts and large-scale mixing and transport in the Far-Eastern seas and the north-western part of the Pacific Ocean. Finally, the book concludes with a discussion of Lagrangian simulation and monitoring of water contamination after the Fukushima disaster of 2011. The propagation of Fukushima-derived radionuclides, surface transport across the Kuroshio Extension current, and the role of mesoscale eddies in the transport of Fukushima-derived cesium isotopes in the ocean are examined, and a comparison of simulation results with actual measurements are presented.Written by some of the world leaders in the application of Lagrangian methods in oceanography, this title will be of benefit to the oceanographic community by presenting the necessary background of the Lagrangian approach in an accessible manner.
