Isochronous Systems

Author : Francesco Calogero
Publisher : OUP Oxford
Page : 262 pages
File Size : 53,9 Mb
Release : 2008-02-07
Category : Science
ISBN : 9780191538650

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Isochronous Systems by Francesco Calogero Pdf

A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare. In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characterized by Newtonian equations of motion in spaces of one or more dimensions, Hamiltonian systems, and also nonlinear evolution equations (PDEs). The book shall be of interest to students and researchers working on dynamical systems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It might be used as a basic textbook, or as backup material for an undergraduate or graduate course.

Author : R.F. Nagaev
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 47,9 Mb
Release : 2003-01-31
Category : Computers
ISBN : 3540441956

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Dynamics of Synchronising Systems by R.F. Nagaev Pdf

This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.

Author : V.I. Babitsky,V.L. Krupenin
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 47,7 Mb
Release : 2012-11-02
Category : Technology & Engineering
ISBN : 9783540444886

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Vibration of Strongly Nonlinear Discontinuous Systems by V.I. Babitsky,V.L. Krupenin Pdf

This monograph addresses the systematic representation of the methods of analysis developed by the authors as applied to such systems. Particular features of dynamic processes in such systems are studied. Special attention is given to an analysis of different resonant phenomena taking unusual and diverse forms.

Author : A.B. Shabat,A. González-López,M. Mañas,L. Martínez Alonso,M.A. Rodríguez
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400710238

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New Trends in Integrability and Partial Solvability by A.B. Shabat,A. González-López,M. Mañas,L. Martínez Alonso,M.A. Rodríguez Pdf

Proceedings of the NATO Advanced Research Workshop, held in Cadiz, Spain, from 12 to 16 June 2002

Author : Yirong Liu,Jibin Li,Wentao Huang
Publisher : Walter de Gruyter GmbH & Co KG
Page : 464 pages
File Size : 46,6 Mb
Release : 2014-10-29
Category : Mathematics
ISBN : 9783110389142

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Planar Dynamical Systems by Yirong Liu,Jibin Li,Wentao Huang Pdf

In 2008, November 23-28, the workshop of ”Classical Problems on Planar Polynomial Vector Fields ” was held in the Banff International Research Station, Canada. Called "classical problems", it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The problem of the center stated by Poincaré for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center. (3) Global geometry of specific classes of planar polynomial vector fields. (4) Hilbert’s 16th problem. These problems had been posed more than 110 years ago. Therefore, they are called "classical problems" in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincaré and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium. This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert’s 16th problem. The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations.

Author : Dongming Wang,Zhiming Zheng
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 47,8 Mb
Release : 2006-03-16
Category : Mathematics
ISBN : 9783764374297

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Differential Equations with Symbolic Computation by Dongming Wang,Zhiming Zheng Pdf

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.

Author : Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer
Page : 368 pages
File Size : 52,8 Mb
Release : 2011-09-01
Category : Computers
ISBN : 9783642235689

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.

Author : Valery Romanovski,Douglas Shafer
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 48,5 Mb
Release : 2009-04-29
Category : Mathematics
ISBN : 9780817647278

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The Center and Cyclicity Problems by Valery Romanovski,Douglas Shafer Pdf

Using a computational algebra approach, this comprehensive text addresses the center and cyclicity problems as behaviors of dynamical systems and families of polynomial systems. The book gives the main properties of ideals in polynomial rings and their affine varieties followed by a discussion on the theory of normal forms and stability of differential equations. It contains numerous examples, pseudocode displays of all the computational algorithms, historical notes, nearly two hundred exercises, and an extensive bibliography, making it a suitable graduate textbook as well as research reference.

Author : John Watkinson
Publisher : Taylor & Francis
Page : 752 pages
File Size : 41,9 Mb
Release : 2013-04-26
Category : Technology & Engineering
ISBN : 9781136117107

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Art of Digital Audio by John Watkinson Pdf

Described as "the most comprehensive book on digital audio to date", it is widely acclaimed as an industry "bible". Covering the very latest developments in digital audio technology, it provides an thorough introduction to the theory as well as acting as an authoritative and comprehensive professional reference source. Everything you need is here from the fundamental principles to the latest applications, written in an award-winning style with clear explanations from first principles. New material covered includes internet audio, PC audio technology, DVD, MPEG audio compression, digital audio broadcasting and audio networks. Whether you are in the field of audio engineering, sound recording, music technology, broadcasting and communications media or audio design and installation, this book has it all. Written by a leading international audio specialist, who conducts professional seminars and workshops around the world, the book has been road tested for many years by professional seminar attendees and students to ensure their needs are taken into account, and all the right information is covered. This new edition now includes: Internet audio PC Audio technology DVD MPEG Audio compression Digital Audio Broadcasting Audio networks Digital audio professionals will find everything they need here, from the fundamental principles to the latest applications, written in an award-winning style with clear explanations from first principles. John Watkinson is an international consultant in audio, video and data recording. He is a Fellow of the AES, a member of the British Computer Society and a chartered information systems practitioner. He presents lectures, seminars, conference papers and training courses worldwide. He is the author of many other Focal Press books, including: the Kraszna-Krausz award winning MPEG-2; The Art of Digital Audio; An Introduction to Digital Video; The Art of Sound Reproduction; An Introduction to Digital Audio; TV Fundamentals and Audio for Television. He is also co-author, with Francis Rumsey, of The Digital Interface Handbook, and contributor to the Loudspeaker and Headphone Handbook, 3rd edition.

Author : Anonim
Publisher : Unknown
Page : 834 pages
File Size : 47,8 Mb
Release : 2005
Category : Differentiable dynamical systems
ISBN : UOM:39015058988240

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Discrete and Continuous Dynamical Systems by Anonim Pdf

Author : Srdjan Stanković,Irena Orovic,Ervin Sejdić
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 47,8 Mb
Release : 2012-09-06
Category : Computers
ISBN : 9781461442080

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Multimedia Signals and Systems by Srdjan Stanković,Irena Orovic,Ervin Sejdić Pdf

Multimedia signals include different data types (text, sound, graphics, picture, animations, video, etc.), which can be time-dependent (sound, video and animation) or spatially-dependent (images, text and graphics). Hence, the multimedia systems represent an interdisciplinary cross-section of the following areas: digital signal processing, computer architecture, computer networks and telecommunications. Multimedia Signals and Systems is an introductory text, designed for students or professionals and researchers in other fields, with a need to learn the basics of signals and systems. A considerable emphasis is placed on the analysis and processing of multimedia signals (audio, images, video). Additionally, the book connects these principles to other important elements of multimedia systems such as the analysis of optical media, computer networks, QoS, and digital watermarking.

Author : Glen Ballou
Publisher : CRC Press
Page : 2834 pages
File Size : 48,5 Mb
Release : 2015-03-05
Category : Technology & Engineering
ISBN : 9781135016654

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Handbook for Sound Engineers by Glen Ballou Pdf

Handbook for Sound Engineers is the most comprehensive reference available for audio engineers, and is a must read for all who work in audio. With contributions from many of the top professionals in the field, including Glen Ballou on interpretation systems, intercoms, assistive listening, and fundamentals and units of measurement, David Miles Huber on MIDI, Bill Whitlock on audio transformers and preamplifiers, Steve Dove on consoles, DAWs, and computers, Pat Brown on fundamentals, gain structures, and test and measurement, Ray Rayburn on virtual systems, digital interfacing, and preamplifiers, Ken Pohlmann on compact discs, and Dr. Wolfgang Ahnert on computer-aided sound system design and room-acoustical fundamentals for auditoriums and concert halls, the Handbook for Sound Engineers is a must for serious audio and acoustic engineers. The fifth edition has been updated to reflect changes in the industry, including added emphasis on increasingly prevalent technologies such as software-based recording systems, digital recording using MP3, WAV files, and mobile devices. New chapters, such as Ken Pohlmann’s Subjective Methods for Evaluating Sound Quality, S. Benjamin Kanters’s Hearing Physiology—Disorders—Conservation, Steve Barbar’s Surround Sound for Cinema, Doug Jones’s Worship Styles in the Christian Church, sit aside completely revamped staples like Ron Baker and Jack Wrightson’s Stadiums and Outdoor Venues, Pat Brown’s Sound System Design, Bob Cordell’s Amplifier Design, Hardy Martin’s Voice Evacuation/Mass Notification Systems, and Tom Danley and Doug Jones’s Loudspeakers. This edition has been honed to bring you the most up-to-date information in the many aspects of audio engineering.

Author : Giancarlo Benettin,Jacques Henrard,Sergej B. Kuksin
Publisher : Springer
Page : 180 pages
File Size : 43,7 Mb
Release : 2005-01-14
Category : Mathematics
ISBN : 9783540315414

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Hamiltonian Dynamics - Theory and Applications by Giancarlo Benettin,Jacques Henrard,Sergej B. Kuksin Pdf

This volume compiles three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants, and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. The books may serve as an excellent basis for young researchers, who will find here a complete and accurate exposition of recent original results and many hints for further investigation.

Author : Anonim
Publisher : Unknown
Page : 722 pages
File Size : 43,6 Mb
Release : 1976-02
Category : Nuclear energy
ISBN : PSU:000047758872

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Nuclear Science Abstracts by Anonim Pdf

Author : J. Paul Guyer, P.E., R.A.
Publisher : Guyer Partners
Page : 92 pages
File Size : 50,6 Mb
Release : 2021-09-05
Category : Technology & Engineering
ISBN : 8210379456XXX

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An Introduction to Engineering Application of Prime Movers for Auxiliary Power Systems by J. Paul Guyer, P.E., R.A. Pdf

Introductory technical guidance for mechanical engineers and electrical engineers interested in prime movers for auxiliary electric power generating systems. Here is what is discussed: 1. MECHANICAL ENERGY 2. DIESEL ENGINES 3. TYPES OF DIESEL ENGINES 4. DIESEL FUEL SYSTEM 5. DIESEL COOLING SYSTEM 6. LUBRICATION SYSTEM 7. STARTING SYSTEM 8. GOVERNOR/SPEED CONTROL 9. AIR INTAKE SYSTEM 10. EXHAUST SYSTEM 11. SERVICE PRACTICES 12. OPERATIONAL TRENDS AND ENGINE OVERHAUL 13. GAS TURBINE ENGINES 14. GAS TURBINE ENGINE CLASSIFICATIONS 15. PRINCIPLES OF OPERATION 16. GAS TURBINE FUEL SYSTEM 17. GAS TURBINE COOLING SYSTEM 18. LUBRICATION SYSTEM 19. STARTING SYSTEM 20. GOVERNOR/SPEED CONTROL 21. COMPRESSOR 22. GAS TURBINE SERVICE PRACTICES