A Normal Form Approach to the Theory of Nonlinear Betatronic Motion

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ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis A Normal Form Approach to the Theory of Nonlinear Betatronic Motion by : A. Bazzani

Download or read book A Normal Form Approach to the Theory of Nonlinear Betatronic Motion written by A. Bazzani and published by . This book was released on 1994 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry and Perturbation Theory in Nonlinear Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 354048874X
Total Pages : 212 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Symmetry and Perturbation Theory in Nonlinear Dynamics by : Giampaolo Cicogna

Download or read book Symmetry and Perturbation Theory in Nonlinear Dynamics written by Giampaolo Cicogna and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: has been in the of a Symmetry major ingredient development quantum perturba tion and it is a basic of the of theory, ingredient theory integrable (Hamiltonian and of the the use in context of non Hamiltonian) systems; yet, symmetry gen eral is rather recent. From the of view of nonlinear perturbation theory point the use of has become dynamics, widespread only through equivariant symmetry bifurcation in this attention has been confined to linear even theory; case, mostly symmetries. in recent the and of methods for dif Also, theory practice symmetry years ferential has become and has been to a equations increasingly popular applied of the of the book Olver This by variety problems (following appearance [2621). with is and deals of nature theory deeply geometrical symmetries general (pro vided that described i.e. in this context there is are vector no they by fields), to limit attention to linear reason symmetries. In this look the basic tools of i.e. normal book we at perturbation theory, introduced Poincar6 about and their inter a forms (first by century ago) study action with with no limitation to linear ones. We focus on the most symmetries, basic fixed the and i.e. a setting, systems having point (at origin) perturbative around thus is local.

Nonlinear Dynamics And Collective Effects In Particle Beam Physics - Proceedings Of The International Committee On Future Accelerators Arcidosso Italy 2017

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Publisher : World Scientific
ISBN 13 : 9813279621
Total Pages : 376 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nonlinear Dynamics And Collective Effects In Particle Beam Physics - Proceedings Of The International Committee On Future Accelerators Arcidosso Italy 2017 by : Swapan Chattopadhyay

Download or read book Nonlinear Dynamics And Collective Effects In Particle Beam Physics - Proceedings Of The International Committee On Future Accelerators Arcidosso Italy 2017 written by Swapan Chattopadhyay and published by World Scientific. This book was released on 2019-01-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book of proceedings is an up-to-date review of the advances made in the past two decades on the production, control and exploitation of bright electron and light beams for science — in particular, innovative manipulation and control, in linear and circular accelerators, of high brightness charged particle beams. In the conceptual, theoretical and experimental framework of nonlinear beam dynamics and collective cooperative effects, the book provides an update of the state-of-the-art theoretical formulations, techniques and technologies, innovative concepts and scientific results obtained at existing accelerator facilities. Challenges and solutions, proposed or implemented, for the operation of third and fourth generation storage rings as synchrotron radiation sources and circular colliders for high energy particle physics, as well as radiofrequency linear accelerators for Compton/Thomson scattering-based light sources and free electron lasers, are reviewed and discussed. The complementarity between single-pass and recirculating light sources in energy, timing and spectral operational modes also emerges.

Hamiltonian Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1489909648
Total Pages : 417 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Hamiltonian Mechanics by : John Seimenis

Download or read book Hamiltonian Mechanics written by John Seimenis and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited papers and contributions delivered at the International Conference on Hamiltonian Mechanics: Integrability and Chaotic Behaviour, held in Tornn, Poland during the summer of 1993. The conference was supported by the NATO Scientific and Environmental Affairs Division as an Advanced Research Workshop. In fact, it was the first scientific conference in all Eastern Europe supported by NATO. The meeting was expected to establish contacts between East and West experts as well as to study the current state of the art in the area of Hamiltonian Mechanics and its applications. I am sure that the informal atmosphere of the city of Torun, the birthplace of Nicolaus Copernicus, stimulated many valuable scientific exchanges. The first idea for this cnference was carried out by Prof Andrzej J. Maciejewski and myself, more than two years ago, during his visit in Greece. It was planned for about forty well-known scientists from East and West. At that time participation of a scientist from Eastern Europe in an Organising Committee of a NATO Conference was not allowed. But always there is the first time. Our plans for such a "small" conference, as a first attempt in the new European situation -the Europe without borders -quickly passed away. The names of our invited speakers, authorities in their field, were a magnet for many colleagues from all over the world.

Analysis and Modelling of Discrete Dynamical Systems

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Publisher : CRC Press
ISBN 13 : 9789056996253
Total Pages : 334 pages
Book Rating : 4.9/5 (962 download)

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Book Synopsis Analysis and Modelling of Discrete Dynamical Systems by : Daniel Benest

Download or read book Analysis and Modelling of Discrete Dynamical Systems written by Daniel Benest and published by CRC Press. This book was released on 1998-10-28 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of dynamical systems, or mappings, plays an important role in various disciplines of modern physics, including celestial mechanics and fluid mechanics. This comprehensive introduction to the general study of mappings has particular emphasis on their applications to the dynamics of the solar system. The book forms a bridge between continuous systems, which are suited to analytical developments and to discrete systems, which are suitable for numerical exploration. Featuring chapters based on lectures delivered at the School on Discrete Dynamical Systems (Aussois, France, February 1996) the book contains three parts - Numerical Tools and Modelling, Analytical Methods, and Examples of Application. It provides a single source of information that, until now, has been available only in widely dispersed journal articles.

European Particle Accelerator Conference (Epac 94) (In 3 Volumes)

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Publisher : World Scientific
ISBN 13 : 9814550272
Total Pages : 2968 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis European Particle Accelerator Conference (Epac 94) (In 3 Volumes) by : Christine Petit-jean-genaz

Download or read book European Particle Accelerator Conference (Epac 94) (In 3 Volumes) written by Christine Petit-jean-genaz and published by World Scientific. This book was released on 1994-11-26 with total page 2968 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings aim to provide a comprehensive overview of research, technology and applications in the field of accelerators. Contributions from the entire field of accelerators are presented, including low and high energy machines, and medical and industrial accelerators.

Beam-based Correction and Optimization for Accelerators

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Publisher : CRC Press
ISBN 13 : 0429784740
Total Pages : 254 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Beam-based Correction and Optimization for Accelerators by : Xiaobiao Huang

Download or read book Beam-based Correction and Optimization for Accelerators written by Xiaobiao Huang and published by CRC Press. This book was released on 2019-12-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides systematic coverage of the beam-based techniques that accelerator physicists use to improve the performance of large particle accelerators, including synchrotrons and linacs. It begins by discussing the basic principles of accelerators, before exploring the various error sources in accelerators and their impact on the machine's performances. The book then demonstrates the latest developments of beam-based correction techniques that can be used to address such errors and covers the new and expanding area of beam-based optimization. This book is an ideal, accessible reference book for physicists working on accelerator design and operation, and for postgraduate studying accelerator physics. Features: Entirely self-contained, exploring the theoretic background, including algorithm descriptions, and providing application guidance Accompanied by source codes of the main algorithms and sample codes online Uses real-life accelerator problems to illustrate principles, enabling readers to apply techniques to their own problems Xiaobiao Huang is an accelerator physicist at the SLAC National Accelerator Laboratory at Stanford University, USA. He graduated from Tsinghua University with a Bachelor of Science in Physics and a Bachelor of Engineering in Computer Science in 1999. He earned a PhD in Accelerator Physics from Indiana University, Bloomington, Indiana, USA, in 2005. He spent three years on thesis research work at Fermi National Accelerator Laboratory from 2003-2005. He has worked at SLAC as a staff scientist since 2006. He became Accelerator Physics Group Leader of the SPEAR3 Division, Accelerator Directorate in 2015. His research work in accelerator physics ranges from beam dynamics, accelerator design, and accelerator modelling and simulation to beam based measurements, accelerator control, and accelerator optimization. He has taught several courses at US Particle Accelerator School (USPAS), including Beam Based Diagnostics, Accelerator Physics, Advanced Accelerator Physics, and Special Topics in Accelerator Physics.

Fluctuation Phenomena: Disorder And Nonlinearity - Proceedings Of The International Workshop

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Publisher : World Scientific
ISBN 13 : 9814603775
Total Pages : 444 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Fluctuation Phenomena: Disorder And Nonlinearity - Proceedings Of The International Workshop by : Luis Vazquez

Download or read book Fluctuation Phenomena: Disorder And Nonlinearity - Proceedings Of The International Workshop written by Luis Vazquez and published by World Scientific. This book was released on 1995-05-04 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Construction of Mappings for Hamiltonian Systems and Their Applications

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Publisher : Springer
ISBN 13 : 3540334173
Total Pages : 379 pages
Book Rating : 4.5/5 (43 download)

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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 379 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.

The Application of Mathematics to the Sciences of Nature

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Publisher : Springer Science & Business Media
ISBN 13 : 1461505917
Total Pages : 292 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis The Application of Mathematics to the Sciences of Nature by : Claudio Pellegrini

Download or read book The Application of Mathematics to the Sciences of Nature written by Claudio Pellegrini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The historical and epistemological reflection on the applications of mathematical techniques to the Sciences of Nature - physics, biology, chemistry, and geology - today generates attention and interest because of the increasing use of mathematical models in all sciences and their high level of sophistication. The goal of the meeting and the papers collected in this proceedings volume is to give physicists, biologists, mathematicians, and historians of science the opportunity to share information on their work and reflect on the and mathematical models are used in the natural sciences today and in way mathematics the past. The program of the workshop combines the experience of those working on current scientific research in many different fields with the historical analysis of previous results. We hope that some novel interdisciplinary, philosophical, and epistemological considerations will follow from the two aspects of the workshop, the historical and the scientific· This proceedings includes papers presented at the meeting and some of the results of the discussions that took place during the workshop. We wish to express our gratitude to Sergio Monteiro for all his work, which has been essential for the successful publication of these proceedings. We also want to thank the editors of Kluwer AcademidPlenum Publishers for their patience and constant help, and in particular Beth Kuhne and Roberta Klarreich. Our thanks to the fallowing institutions: -Amministrazione Comunale di Arcidosso -Comunita Montana del Monte Amiata ·Center for the History of Physics, UCLA -Centre F.

Contributions in Mathematics and Engineering

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Publisher : Springer
ISBN 13 : 3319313177
Total Pages : 759 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Contributions in Mathematics and Engineering by : Panos M. Pardalos

Download or read book Contributions in Mathematics and Engineering written by Panos M. Pardalos and published by Springer. This book was released on 2016-10-04 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. ​ Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.

Determinism, Holism, and Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 1475749473
Total Pages : 395 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Determinism, Holism, and Complexity by : Claudio Pellegrini

Download or read book Determinism, Holism, and Complexity written by Claudio Pellegrini and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Determinism, holism and complexity: three epistemological attitudes that have easily identifiable historical origins and developments. Galileo believed that it was necessary to "prune the impediments" to extract the mathematical essence of physical phenomena, to identify the math ematical structures representing the underlying laws. This Galilean method was the key element in the development of Physics, with its extraordinary successes. Nevertheless the method was later criticized because it led to a view of nature as essentially "simple and orderly", and thus by choosing not to investigate several charac teristics considered as an "impediment", several essential aspects of the phenomenon under investigation might be left out. The Galilean point of view also contains an acknowledgement of the central role played by the causal nexus among phenomena. The mechanistic-deterministic de scription of reality - for instance, a la Laplace - although acknowledging that it is not possible to predict phenomena exactly owing to unavoid able measurement error, is based on the recognition of the their causal nature, even in an ontological sense. Consequently, deterministic predic tion became the methodological fulcrum of mathematical physics. But although mechanistic determinism has had and, in many cases, still has, considerable success in Physics, in other branches of science this situa tion is much less favourable.

Chaos and Diffusion in Hamiltonian Systems

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Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321904
Total Pages : 306 pages
Book Rating : 4.3/5 (219 download)

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Book Synopsis Chaos and Diffusion in Hamiltonian Systems by :

Download or read book Chaos and Diffusion in Hamiltonian Systems written by and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beam Stability and Nonlinear Dynamics

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Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Beam Stability and Nonlinear Dynamics by : Parsa

Download or read book Beam Stability and Nonlinear Dynamics written by Parsa and published by American Institute of Physics. This book was released on 1997 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book reports on the third of three symposia hosted by the Institute for Theoretical Physics and supported by its sponsor, the National Science Foundation. The work deals with some of the fundamental theoretical problems of accelerator physics as discussed by leaders from accelerator and mathematics communities, together with those from other fields of physics. The focus was on nonlinear dynamics and beam stability. This volume begins with some defining talks on relevant mathematical topics such as single-particle Hamiltonian dynamics, chaos, and new ideas in symplectic integrators. The physics topics included single-particle and many-particle dynamics as they relate to circular accelerators in which particles circulate for a very large number of turns. These concepts were also applied to linear accelerators, where space charge and wakefields induced in accelerating cavities play a strong role.

Electrical & Electronics Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1576 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Electrical & Electronics Abstracts by :

Download or read book Electrical & Electronics Abstracts written by and published by . This book was released on 1995 with total page 1576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaotic Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 146153464X
Total Pages : 410 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Chaotic Dynamics by : T. Bountis

Download or read book Chaotic Dynamics written by T. Bountis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many conferences, meetings, workshops, summer schools and symposia on nonlinear dynamical systems are being organized these days, dealing with a great variety of topics and themes -classical and quantum, theoretical and experimental. Some focus on integrability, or discuss the mathematical foundations of chaos. Others explore the beauty of fractals, or examine endless possibilities of applications to problems of physics, chemistry, biology and other sciences. A new scientific discipline has thus emerged, with its own distinct philosophical viewpoint and an impressive arsenal of new methods and techniques, which may be called Chaotic Dynamics. Perhaps its most outstanding achievement so far has been to shed new light on many long standing issues involving complicated, irregular or "chaotic" nonlinear phenomena. The concepts of randomness, complexity and unpredictability have been critically re-examined and the fundamental importance of scaling, self-similarity and sensitive dependence on parameters and initial conditions has been firmly established. In this NATO ASI, held at the seaside Greek city of Patras, between July 11- 20, 1991, a serious effort was made to bring together scientists representing many of the different aspects of Chaotic Dynamics. Our main aim was to review recent advances, evaluate the current state of the art and identify some of the more promising directions for research in Chaotic Dynamics.