Chaos and Dynamics of Rays in Waveguide Media PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Chaos and Dynamics of Rays in Waveguide Media PDF full book. Access full book title Chaos and Dynamics of Rays in Waveguide Media by Sadrilla S. Abdullaev. Download full books in PDF and EPUB format.
Author: Sadrilla S. Abdullaev
Publisher: Routledge
ISBN:
Category : Mathematics
Languages : en
Pages : 336
Get Book Here
Book Description
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.
Author: Sadrilla S. Abdullaev
Publisher: Routledge
ISBN:
Category : Mathematics
Languages : en
Pages : 336
Get Book Here
Book Description
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.
Author: Denis Makarov
Publisher: World Scientific
ISBN: 9814273171
Category : Science
Languages : en
Pages : 412
Get Book Here
Book Description
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.
Author: Mingzhou Ding
Publisher: World Scientific
ISBN: 9810245610
Category : Science
Languages : en
Pages : 459
Get Book Here
Book Description
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
Author: Albert C. J. Luo
Publisher: Springer Science & Business Media
ISBN: 3642127185
Category : Science
Languages : en
Pages : 312
Get Book Here
Book Description
“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.
Author:
Publisher: Elsevier
ISBN: 0444538038
Category : Science
Languages : en
Pages : 5604
Get Book Here
Book Description
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
Author: Sadrilla S. Abdullaev
Publisher: Springer
ISBN: 3540334173
Category : Science
Languages : en
Pages : 384
Get Book Here
Book Description
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.
Author: Mingzhou Ding
Publisher: World Scientific
ISBN: 9814491500
Category : Science
Languages : en
Pages : 459
Get Book Here
Book Description
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.
Author: Dolginov
Publisher: CRC Press
ISBN: 9782881249877
Category : Science
Languages : en
Pages : 400
Get Book Here
Book Description
First published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Barbara Romanowicz
Publisher: Elsevier
ISBN: 0444535756
Category : Science
Languages : en
Pages : 873
Get Book Here
Book Description
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
Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 998
Get Book Here
Book Description
